The time for one cycle of a periodic prj u.by58dqa 2rbos 6y.reqaz- ; ;g;zfocess is called the

  For a periodic process, the number of cycles per unit time is call on *y.pam) 4 s+msm2mlfj,q8ned the

  For vibrational motion, the maximum displacement from the equilibrium dsjtu09uc :r (point is called :9ud0jurtc(sthe

  A mass on a spring undergoes SHM. When tho5sb 4*uq3hroya p ++se mass is at its maximum displacement from equilibrium, its instantao3+uss *+4b yroqha5 pneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilim) 8w fr; cej4gevsj,9brium position, its instantaneous verjf 9)s;ev,e4cg8jwm locity

  A mass on a spring undergoes SHM. When the mass is at maximum digec vbh 1mr4:;dowa3:splacement from equad1meb4::vg;ho rc w3ilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down bet/1: wffhrav ot x:bi)22oqsx2ween points A and B.b hf2xqov r:o/xw1sf)i ta 2:2 Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and sg hs/oc .+w0pzr;nk :bobs up and down between points A and B. Where is the mass 0rcgn/:+.zws sokp;h located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down b4dm hpe,abb)9o.nls4aj c8 9getween points A and B. Where is the mass located when4n 4b8 9gca hm.j ode)l9sa,pb its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between point2t3knal *l ;gzs A and B. Where is the mass located n; za*k 3l2ltgwhen its potential energy is a maximum?

  Doubling only the ampdauwq cpn -y4d)wz7,0ld m 4+alitude of a vibrating mass-and-spring system produces what effect on the system's mechd)z m+dnd,4yqu awl4-w0ca7panical energy?

  Doubling only the mass of a vihfr821lqb/ p u-ta0 qcon*f*sbrating mass-and-spring system produces what effect on the system's mechanicalpbh f2*ntu0r- q/* f a8oq1lsc energy?

  Doubling only the spring constant of a vibrating mas s5ll am8 rbwaz+fy0sy;ec/2(s-and-spring system produces what effect on the system's mechanical energy?yf y( ezar/clsw0s825bm+ a ;l

  A mass oscillates on the end of a spring, both on Earth andawa bxr3+/:u7asaavsr3 2-t+wxj 9cw on the Moon. Where is the per9sat w+a3xbru+3 / :-xavw 27jcrwas aiod the greatest?

  Increasing the spring constant k of a mass-and-spring systemjeof (6fo8)7:s ri5yf fipt :o causes what kind of chanep f8 jfi:7fi(o5oy) frtos:6 ge in the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chl*s0i5qwv/5 ed t :vufange in the resonant frequency of the system? (Assume no change in the system's spring coetv0vlsd:q5w u f5i* /nstant k.)

  Increasing the amplitude of a mass-and-spring sytq nmj ftm c0+/o2qh:1l o:/dbstem causes what kind of change in the resonant0c2+fq 1 bnd/mlmt:qoo jt:/h frequency of the system? (Assume no other changes in the system.)

  A mass $m$ hanging on a spring has a natural frequency f. If the mass is increased to $4m$, what is the new natural frequency?

  A simple pendulum consists of a mass M attached to a weightless csdf i5rj5nod(d 6x, mq),e7 z1rzs0tstring of length L. Forf 7,d tm56 ,soi 5qejd szr1xr0cdnz() this system, when undergoing small oscillations

  When the mass of a simple pmz18tp c+etu2endulum is tripled, the time required for one completet+me21 uzp c8t vibration

  Both pendulum A and B are 3.0 m long. The pe(+ ddyoyw 61cqriod of A is T. Pendulum A is twice as heavy as pendulum B. What is the period oq1(dw +yy6cdof B?

  When the length of a simple pendulbk8byh , 5ar)cq9ntr5um is tripled, the time for one complete vibration increases by 8ht)b yrarbqn9 ,k5c 5a factor of

  What happens to a simple pendulum's frequency if both its length ano6ouw8oo6n8 ,gl ,8qla 6n jutd mass are increasedownogo6n86 ua tj,,ql 8o86u l?

  Simple pendulum A swings back and forth at twice the frpsf.7;q 8 qokqequency of simple pendulum .kpqo7s 8q f;qB. Which statement is correct?

  If you take a given pendulum to the Moon, where the acck. yo7d. g6nvm*mkyleryd9ry h . +k)3eleration of gravity is less than on Earth, the resonant frequency of the pendulum wgr6hy3kkd9+ny7ok)y* vl.. ey m rmd.ill

  Curve A in Fig. 11-1 represeizll7r2ytnt/z e;f5 ,g.a1u a nts

  Curve B in Fig. 11-1 represeno jonjm6dc4 (tu q67v-ews50zts

  Curve C in Fig. 11-1 represeafp b2lki 7r(r4 m8ta9nts

  For a forced vibration, the ar6lus:m vvo/r)kj q7 9uw3 7mwmplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave fh0+ pbg tz6gozo+7x eo-p6rz )rom equilibrium is calx )rp-ot6 o+ge0z b ogzpz6+h7led the wave's

  The distance between successive crests on a wave is called the wa)sjx9 ds nljem0d624 nve's

  The number of crests of a wave passing a point perab +6+4rst oqlhc1u g pn:j/a( unit time is called the wave's(otpbqc+as uhg:rn+ jl 1a/ 46

  For a wave, the frequency times the wavelength is the wv(xlb(vvj/( nt2hl+aave's

  The frequency of a wave increases. What happena,7xri7 o fbx4s to the distance between successive crests if the speed r7f7 xiob4r ,xaemains constant?

  A wave moves on a string with wavelength l and frequency f. Ab( efmnbay b:mt +h-kt9 *vg:* second wave on the same string has wavelength 2 b:g-9etm*ka+ bn:v(*yhm fbtl and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave o2qt(gx)(x c s/aps9zhn a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is true?h(aqc /2zxt9g xs( ps)

  A string of mass m and lengt,vd7k 4b-x mpgh L is under tension T. The speed of a wave in the pb-47 xdkv ,mgstring is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. Th pxtr6 gfuk66vl*e(7z e speed of a wave in the string is v. What will be the speed of a wave in the string i76kp(e t6u6xlrg *zfvf the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The spejo env;*jgc+(bhz8 ty;-6udped of a wave in the string is v. What will be the speed of a wave in the strinpgbj-(t *y68cz o juen; v+;dhg if the tension is increased to 2T?

  In seismology, the S wave is a transverse wavin m2e /*t4oonqf9dg/e. As an S wave travels through the Earth, the relative motion betwen/ iod9m*g 2q/on4t feen the S wave and the particles is

  In seismology, the P wave is a longitudikpe70;s cdf5qw) y 0o4*ly9d e/pyyytnal wave. As a P wave travels through the Earth, the4y t 5el p*oeyskyq dy p/y)wc070;fd9 relative motion between the P wave and the particles is

  The intensity of a wavp :vzty8)(-g pe w wyg80gcvy+e is

  A wave pulse traveling to the right along a thin cord reachcjqlb ;)p ql.7pq+ dcn4 )xf9hv(u2caes a discontinuity where the rope becomes thickc)9 d72c+ljpn (;bh qqqvpf .c4ul xa)er and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positivehuhvz15f+4/c2 of4tx v skjw. amplitudes pass each other on a string, one is tr41/4tz +ukhvxjfcfh.5 wv so2 aveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling totr4sg 7o.rhn aqd04 x.ward the right has a positive amplitude,a rrt4.0dx g.7onqh s4 while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, sucl b*vueyhvu0 ,-:k1bpgbb0j7 h as a string fixed at both ends, occurs when

  If one doubles the tension in a violin stri csc 7 u-lte:b*9si3xhng, the fundamental frequency of that string will increase by a factore c chi:3b7-utlss9*x of

  What is the spring constant ofzxgv* .g60ylwu-rl hds6 p- 9v a spring that stretches 2.00 cm when a mass of 0.600 kg zu.glhd 0*l xr9-w-syp6vg6v is suspended from it?

  A mass is attached to a spring of spring co1+8of ken,kst74ixxw-sl;kc nstant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is tt-7;eo f+ss k41kk,lix8 c wnxhe amplitude?

  A mass is attached to a springluc:m8r p* ,pg of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it isrg c*ppu8l, m: oscillating. What is the period of oscillation?

  A mass is attached t m vrv7k/et6a2o a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of 2 /va6 metvk7roscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscild6eq yf/x/som,8fah( e3am- 8qnbgz0lations in 5 6aq/qhbmfo3m8efznes- (/ xg,y08a d.0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spriuw;/3 *oxna hvqm/ :pqng constant 20 N/m with an amplitude of 0.30 m. uvh wo *q:qx/3am ;pn/What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attache; x j5z8oasfxiyf(vt6m.y t6ex18 aj/d to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillj/.axvt x t;z16f f6oxej5iys 88m( ayates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM :rbgahp b (26i0dz cf+vthnz.r2s2i1 with amplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is dfb v+r20h1b .6:2ipzi n2cz rg stah(again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring consec3 ljp.zg.tx/,;ddmtant 20 N/m along a horizontal, friction3j edgx. mz,/pcd;l.t less surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attachedjfz .vhiuqhat3(14y1z s xs6 c:/i6ou to a spring of spring constant 20 N/m along a horizontal, frictsh q1j6v.4 iau6t1zy(uxsc :f h/ 3oziionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring contd4t48elbs 8p* olpgyql l9p28,n+fqstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy ofegf 98b+lt l,d4 poln2l yqqp4pst*88 this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring consta p8l i9 t -lcyjek/7kv,dh8j(ant 50 N/m and s,pti(ka7je8yh8 l-9vj/ dcklet into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the fr0ve.)fo h1 j8 ;ntob.lsm)g v0oi z4woee end of an ideal spring of spring co;ho4 j vow1lsnt ) v)ioz0f.ebm.go80nstant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-andylqk4mkki :(3es,9z z-spring system is displaced 10 cm from its equilibrium posilq ,z4m:s9k (ykkei 3ztion and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. Tyczia)7sg)y.1 o+s h qhe object is displacedq7 yig))ch1 ys.soaz + by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. The obj-k zuooavy52 2ect is disp zao5 o2yukv2-laced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung from a spring of spring constant 18 (, :eyy .7xu37dmlycs4og/- ;eem t n 4hywquuN/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibrate(m44oe/g:esyq3 yt7w,m;.y u uxn-uc7dyhlion?

  A mass is attached to a spring. It oscillates at a frequen)6w 3myj-h ltc1zh b.cs:km2 ecy of 1.27 Hz when dis c.z bh 1h- lc6wmy)m:3esjtk2placed a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass eqx.n4* ldtcjm zb8,1A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16 Hz. How does the maximum speed of A compare to the maximum x4 *lz81tdb qmnj.c,espeed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium tt -fvcuuahr y(wja5rs s*y*07 2f4-z/na4mv she mass stretches the spring 2.0 cm downward. T z7cr*m40t wuuv -sj2a(yrsf4 - f*/vshn5aya he mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium th5cku xw ;n3t,a85jzdbe mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1tndjkzxu,;3 b wc5 85a.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibriuv.1j:p13jg d(ay b k;g ik6phfm the mass stretches the spring 2.0 cm downward. The.1g;hp iy 1jfg(kv63jpadkb: mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the followibqk6kojys47 1r op 2djd1zs 08 xa6lu+ng position versus time equation:jr 1o8d6s0 zpub14ylsa6k+2qoj 7d x k
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys tx:og.9jmg4bwpl5ht2e po4 t,he following position versus time equation:j:w5olp, x4pthebo gm42tg9.
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus t foa th9d;s:-u*6mcpo ime equationtocdp mhs9:*o; 6afu-:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes siccx8 pavv. tc rng5 *s-*8)hlxmple harmonic motion according to vn*xt8gc8c5crax*)hl p -s. v the equation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with a force constant of 20.w;s.m0 f k3i +hrsc3q+ip)k wbnb; 5vm0 N/m oscillates on a horizontar qk .whwfp s 3;mc3b5bvm+i0n)isk;+ l, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10.00 cm.)
(a) Determine the frequency of the oscillations.
(b) Determine the maximum speed of the mass. Where does the maximum speed occur?
(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement as a function of time.

  A pendulum makes 12 complete swings in 8.0 s. (a) What are i a;( a,mx3gs.4ruswbgqn78v wts frequency and period on Egma .s(wq3a7,8 gu;wnv rbxs4 arth?

  A 3.00-kg pendulum is 28.84 m60q(e1l634nhgzr mdyd cwv s 0 long. What is its period on Earth?

  A pendulum has a periodx4lhtq+ t9*7c h0mm nh rr6hn4idvb;6 of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long z,v/n +qag9lt. What is its period on the Earth? v9ltqn, +/agz

  The pendulum of a grandfather clock is 1.0 m long. What is i2dv(h0 0xtd cjts period on the Moon where the acceleration due to gravity is ojv2dxt0c(d 0 hnly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherx/bg0l 48 o.knv m)m+ybg, qtsical mass attached to a massless string. When the mass is displaced slightly from its equilqm8lg on.x,m)sgtbv/0yb +k 4ibrium position and released, the pendulum swings back and forth with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a3uk147os 1 hrf .qgmqb 20-g mass has initial angular displacement of 8.0e. It oscillates with a prmqoub1qk43sf h1g. 7eriod of 3.00 s.
(a) Determine the length of the pendulum.
(b) Does the period of the pendulum depend on the initial angular displacement?
(c) Does the period of the pendulum depend on the mass of the pendulum?
(d) Does the period of the pendulum depend on the length of the pendulum?
(e) Does the period of the pendulum depend on the acceleration due to gravity?

  Figure 11-2 is a "snapshot" of a wave at a given time. iixhvs mp4x 7+t1 w-jby)k.:x The frequency of the wave is 120 Hz. Whatyjsxixtm1 kh4p+i b .)v x7-:w is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freques 53rs8n p546 gs0ls vy-flauincy of the wave is 120 Hz. What is ss3gr0 n5syp8-4au 6v5l flsi the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wa rq2ryrefas:4 1h)x/mv xa1fy/42shrqrmr):ee is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a vc7,z0anuif( period of 6.00 ms?

  What is the period of a wave with a frequen5rmf-8t.y7m7 nlwxn ncy of 1500 Hz?

  What is the wave speed if a wave has a frequencygi-01imup/umpt ) f1 y of 12 Hz and a wavelength of 3.0)/ p01 mfmy1i gui-ptu m?

  What is the velocity of a wave that hase6f+ xlojs9 y3 a wavelength of 3.0 m and a frequency of eoyx f+6l9j3 s12 Hz?

  What is the frequency of a 2.5 m wave trav8 k0hvd ltm6ucn,yl4 ll04cf(eling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension 1zgop trx-8e81h vktv8( fl k6of 1350 N. What is the w-lxg8k1ot khvfz (ter68 8vp 1ave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is)s )mfiyo y4 u(r,*fql the velocity of propagation of traf ,*l4sro u)yfiqym()nsverse waves along the string?

A wave whose wavelength is 0.50eg,0sh2leukl 4d i-x cdry.2) 0 m is traveling down a 500 m long wire whose totalx2cds2i e4. heg ld)yr ,-lku0 mass is
25.0 kg. The wire is under a tension of 2000 N.
(a) Determine the velocity of the wave on the wire.
(b) Determine the frequency of this wave.

  The velocity of propagation of a v v l l0*i 48orc0jb5sk nn/zdt1wz-d;transverse wave on a 2.0-m long string fixed at both ends isdzij; v bkl z5 n/nc4d8 tvl0w0-*r1so 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whl )ufq* myutl5 3p:r0sich one of the following frequencies can set t m*)yuq p u:5t0l3rsflhe string into resonant vibration?

  A stretched string is *wtb2 eq+c- aoobserved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standi w ob*+a-tcq2eng wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 ch5fkg t8kzq :wgbng(v5. s12t 1bb7x Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to conc g51gtb8 7gw(kn2q5fz.vbsb:1th kx tain 4 loops?

  A string of linear density 1.5 g/m is under a tess4qejx tl9f36j(tg(ujr*2kb/oyb , ukl+) h nsion of 20 N. What should its length be if its fundamental resonance frequency is 220 Hz/eb(xs9,bt )o2k4quk* r3f (jj+s6lyh tg ujl?

  Find the first three harmonics of a string of linear mtr **htey-s qe.,sb5c*t0 ketass density 2.00 g/m and length 0.600 bs *5kte*st,*.ye h-tct0erq m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. k .z, nd3tqwygf4)v:9g8mht t When the string vibrates at a frequency of 85 Hz, a standing wave with five loops:qt8ntd)wy mgz f3 .kt4,g9hv is formed.
(a) Determine the distance between two adjacent nodes.
(b) Determine the wavelength of the waves that travel on the string.
(c) Determine the velocity of waves.
(d) Determine the fundamental frequency of this string.