The time for one cycle of a periodic process+p/e a+ eye0rp is called the

  For a periodic process, the9 5cxt7oly3jaghj1br7t2 0q a number of cycles per unit time is called the

  For vibrational motion, the maximum displacement fro4bye g6 b2cqd/m the equilibrium point is cagb be/4qc2 6ydlled the

  A mass on a spring undert rgyrg1(rwt ()zpx (1goes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velocir( ((rw)1zxpt yrg tg1ty

  A mass on a spring u0 m ikp81e; us*;btubkndergoes SHM. When the mass passes through the equilibrium position, its instantaneous velocity8b0eumu1k ;stp;ib *k

  A mass on a spring undergoes SHM/qw 4 t5yczp+2, cm8sfn- xxsu. When the mass is at maximum displacement from equilibriu-82 c,45mquyt/fxp+xssw znc m, its instantaneous acceleration

  A mass is attached to a vertical spring an2*y3bp ob r;.vwubz7m d bobs up and down between points A and B. 7;*zbuo3. byb2 wm prv Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up ancoyp)/ fib 2ehci94qa,)u 6dkf 5knti8 :h1nvd down between points A and B. t c p, uidfne 9)8i h)c o6yq:4kb1avknh52if/Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down betwew5 x*3seg(1 * jr1yxbh(7ul aonzd2 mk) o5cbxen points A and B. Where is the mass(*s53h1bxkra 1obmn co2 z(7jxyl)* ugexwd5 located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointsv 8:sj(zrtir(3d 4b;dk cqzde 4lud +/ A and B. Where is the mass located when its potential energy is a maximum;t/(zk+ rlzjbe4dusivrd4d8:c( 3 dq ?

  Doubling only the amplitude of a vibrating mass-and-spring system produ9jvrw -e5+e(:vyv+;fqafr78s lp hi lces what effect on the system's mechanical ee9+(+hv: vj5eis r;q7alryfwl-v8f pnergy?

  Doubling only the mass of a vibrating mass-an9jt ,;lu9wr4zz7jz i ed-spring system produces what effect on the system' zui,7wr9jz ejl9tz;4 s mechanical energy?

  Doubling only the spring constant o5 1b0ekjm)bi yyij:9q f a vibrating mass-and-spring system produces what effect on the system's mechani1yem bj)k 5j:iy b09qical energy?

  A mass oscillates on the end of a sprinj5 wvrhlyb z)w tify ;4ekqe;,kq/k d2 7.h;w+g, both on Earth and on the Moon. Where is the period the greatest?wq7teflvh;kq+dy ,ky;)w5.k jbi re; hz2/ w4

  Increasing the spring constant : pjqq1f1nv+ach 4c j,k of a mass-and-spring system causes what kind of change in qc n1f:1 4acj+,v qjhpthe resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M ofuj/u:l96k r-z 8hlw ma a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume n ulrmk /:lu6hw-89jazo change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes whatslsi8lc2(2h3*wmo i p kind of change in the resonant frequency ofpo3hs 82*m c(l2iislw 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 string cg(taec ob3r(69rzw: of length L. For this system, wh6wbtag(eroc9: c3z (ren undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time o*; 0v,r jh.mjype-zl3zj2 ybrequired for one complete vibrzbhp zj j or0ym.;-vjy*32e,lation

  Both pendulum A and B are 3.0 m long. The period ofi ymg5 cui* mw,/gm6f12*qlfj A is T. Pendulum A is twice as heylujmc,qw/ m i2*1g*5 g6f imfavy as pendulum B. What is the period of B?

  When the length of a simplr6z mz6nzoi e0wxc /;-dgv: u.av,*c3qbd)bn e pendulum is tripled, the time for one complete vibratin exv.b/a ):m6ud;0c,cqoz*3 nd6z- wrizgb von increases by a factor of

  What happens to a simple pendulum's frequencyuam/7x;d*gy z (9lpi c if both its length and mass are increase(/x*gm97 updcz;yli a d?

  Simple pendulum A swings back and forth at twice the frequency of simple pen) a-onj di75todulum B- oao)tn7ij5 d. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of2w)e*qtm yn155b uqwd gravity is less thuqm2ty)q e5 nd5*ww1 ban on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 re-nje-ziq7 7bgpresents

  Curve B in Fig. 11-1 representsk+(: ykp ;*fqwaflh+y

  Curve C in Fig. 11-1 repr+ r7dpra6pn7 jesents

  For a forced vibration, the amplitude of vibratun(ol niw: l/bi; /1vcion is found to depend on the

  In a wave, the maximum displacement of points of the wave from equ:zbi/ z16dvr u edt)c31zhz:p7z) vnzilibrium is callebvv: z6z : cuz11 t3p edizz7n))z/drhd the wave's

  The distance between successive crests on a wave is called;oeq1uirxf 83 the wave's

  The number of crests of a wave passing a point per unit time pm2wy- n /z i:+n:zkhxis called the wave'kx2 np/:m :+yzznw i-hs

  For a wave, the frequency times the wavelength e8lthqk2u+ l 4 gncz:/is the wave's

  The frequency of a wave increases. What happens:canx h3.o n5e to the distance between successive crests if ne.x3:5hna o cthe speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second iy qcp6r c*frcox p-o42 lv5/1wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of t/px -cl yqpcvr o o*r2cif6154he second wave?

  Consider a traveling wavet r wv-(8ch, gq5oqb;qi 7-pwa on a string of length L, mass M, and tension T. A standing wave is set g, h(q;w roqvwb7tq pi-a5c-8up. Which of the following is true?

  A string of mass m and length L is under tension T.f0/ v,lovscp+fi+0 1kr1z pinthj 81q The speed of a wave in the st +izosctlkq1 + 8fp01/jv0 inp,1hfvrring 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. The spetpd(( 8w ;nx-bj *hnwxed of a wave in the string is v. What will be the speed of a wave in the string if the lengdtx;pwbjn (8h( w-*xn th is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of f78bo4zs*cd5:ubrwz a wave in the string 8 rdzbsbocf574z*u: w is v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travewb (vd+t(a de-reh ,+mls through the Earth, the relative motion b+,-wr(h(d+ate b d mveetween the S wave and the particles is

  In seismology, the P whqcxh3/bs 6xo/p su- 5+akt ,oave is a longitudinal wave. As a P wave travels through the Earth, the relative motion between tkh+hs,6xo /c s5b t3qa-/uopx he P wave and the particles is

  The intensity of a wr/u d:k,ii 17 forzf0gave is

  A wave pulse traveli/wnkfi6 wo ,x*ng to the right along a thin cord reaches a discontinuity where the rope becomes thicoi*k,/w6 fn wxker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a stroyy-)xl0u7a l ing, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same tyy al0u ol)x-7ime

  Two wave pulses pass each other on a string. The one traveling toward the tjis()a30 g2rp3bf u bright has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point tha)sg a3bi u(trpfj03b2 t they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed i4yu1kkbu1z3u .k wsno9;*t dat both ends, occurs when

  If one doubles the tension inmgor tx-f3 ldn2kbu r5l3r5c 2+x,c. h a violin string, the fundamental frequency of that string will in 5-x2+brlf ulkt d 3 3x5,.or2grnhcmccrease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm wh he((no 1la 2q .wny9*mcd/mzc0qp5uven a mass of 0.600 kg is suspended from ituw.5*cy1zlmq(nqpm9n 0aedch(/v 2o ?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, 76zk5aj2yfaj cvv. q2frictionleszjk 6c 5a22vjqfyva 7.s 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 amplitude?

  A mass is attached to a spring of spring constant 60 No(1sakfr;czb5yz: 1e 5 jsv m8/m along a horizontal, frictionless surface. The spring is initially stretche1cvrfzy8o k;mz(b51s5sa:jed 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 period of oscillation?

  A mass is attached to a spring of spr kkk zn1 3cjtoy;-n)9ring 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 takec ;knor9)kjzy -tk1n3s the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goa4ql3t o. l)fkes through 10 complete oscillations in 5.0 s. What is the plla f 3.kqo)4teriod?

  A mass vibrates back and forth from the free end of an ideal spr+j)m; pju3pa8 lg;hk ;j) mgpbing of spring constant 20 N/m with ajp )hj8g)au 3jk;l;mgbmp+p ; n amplitude of 0.30 m. 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 attached i7ulis9x jrb; 4* 5ndoto a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total ens idiu79ro5bxl;jn 4*ergy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy mff;bj 5xj d1(cxuk*ed :rm8) is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitudr:;mxf8dfbxe51jmd ucjk* ) (e 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attacxx3eyb x)r piu l87d1:hed to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/pbl8 :) u3e7 rdxxx1iys at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached t/:vp4 7l (lbeyry.yr yo a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibri7y:yprvr/ .l(ylb4yeum 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 sg95nzkej 2 vxc 1r*dr(pring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 *5vrxk re(9j 2z1 dgcnm. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constelp 8 nr7qsx33ant 50 3np 73rqlsx8e N/m and set 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 free end of w4faa v8 tec5 mr5 ;97omhp)xe(3 q)nu uln*jnan ideal spring of spring constant 20.0 Nt*n8o a3e;wv hm4 eaj p)(r5uul9 c7nmf)qxn5/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibriugop,hx . 2qrq4l n*kt4m position and released. An .k,2 4*opqrq4lxtgh 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 Nd c: l4k2 gfb*l;kk,rt/m. The object i;ktr,bl d:k24c kfg*l s displaced 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 object hxt9drq hv- , o+ltoc-ekw509is di+toh l-rwh 9qox tc 0dk,v9-5esplaced 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 N/m, displaced slightlpn uq*q1y v2y4y from its equilibrium position, and released. What is the frequency of its vibration1pyqyn u4*q2 v?

  A mass is attached to a spring. It oscillates at a frequency ofnsy6d:dg 6 tw1fd/4 jz*am7t w 1.27 Hz when dis6w:w dt*yad /fn1st6g4dz7jmplaced 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 attachev9rbr bcjs20 6mac75khw*m3 z d to different springs. Mass A vibrates with amplitudezb w0r59 kcjar36ch* mbm7v2 s 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 speed of B?

  A 0.30-kg mass is suspended on a spri ,m9qt ykpp:j9ng. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an add qm t,ykp:p9j9itional 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 equb;*y7supdeb 9 5k9 xrwilibrium the mass stretches the spring 2.0 cm downward. The mass is then pullebuke 5bp ws7x99* dy;rd an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium thexx3i,- lxn7we mass stretches the spring 2.0 cm downward. The mx3ne,xw 7x-li ass 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 following position versus ,f arjwk4 i-- oma41a +nq5ty1woof* ytime equatrt k 4f+q1fowoiy4mo w1aaa,j-*5 y-nion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic m-,js *bv dmhg: 0q6dwiotion obeys the following position versus time equation:jbgw dv:mq-0*hi6s d,
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obqonmx.mc clj f(78+ a,tgj(7jp5+r yj eys the following position versus time equ jg(qj(7l.+5r con ,ammxy +c8tjfpj7 ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mhs tkhu hp51617 9rwx8fqq 1ouotion according to the eqrs 9uhqpxuhq w865 1t1f71okhuation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring wiz 2rqwhc 0in) p2zb9a1th a force constant of 20.0 N/m oscillates on a horizontal, frictionlessa 0r)hpz2cw1z9bi qn2 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 its d8048 okt6p.i wxxqjkfrequency and period dx 808t6pwkjox.kqi 4on Earth?

  A 3.00-kg pendulum is 28.84 m longct a,+mmo- nl(. What is its period on Earth?

  A pendulum has a period of 2.a;ii3jdcyb23d8lo g da6o 5 bi8,nb-y0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What isb5/5xwca7vnf its period on the Eartvw57/f bnxac 5h?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the )ec.tjce2joe/ uc j68Moon where the acceleration due to gravity is oj6 uctejocjcee/.28) nly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attachd)b ba.r2 qg 7)/frzdn iol5b4ed to a massless string. When the mass is displaced slightly from its equilibrium 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 insteala d 4dfg7.n52oq/bbbrri))z d?

A simple pendulum consisting of a 20-g ma9-6mram 4cp-k e,evqxss has initial angular displacement of 8.0rx,ck e a 6ve9p4mm-q-e. It oscillates with a period 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. The frequency k gjq4d3pv-jk:3 r9 pdof the wave is 120 Hz. What is the amplip :4-gkpdd9jqjk vr3 3tude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequenc rw/*cz6c - naui-2cney of the wave is 120 Hz. What is the wavel/2arcnwz6 ie cnu *c--ength?

  Figure 11-2 is a "snapshot" of a wave at a given time. y d,v;x1b/mys The frequency of the wave is 120 /sb; yvyx1dm,Hz. What is the wave speed?

  What is the frequency of a wave tib, qv r6uzew(5h151l gucp2l-2 ljv which has a period of 6.00 ms?

  What is the period of a wave with a frequency ofl(gtn qat wm00. d9(nl 1500 Hz?

  What is the wave speed if a wave has a f3gsv 5dsob m+)requency of 12 Hz and a wavelength of 3.+)dv3b5s gsom0 m?

  What is the velocity of a wave that has a4lfs)b ;yfpb +r+3zvj wavelength of 3.0 m and a frequency of 12 ); vf34rbblpfy j+s+ zHz?

  What is the frequency of a 2.myx590a2;2qj m ;w+pzdhlrik5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tenlx5. ot07u qamh93e(ma2xg gf sion of 1350 N. What is thetemm x0(ua9 g7l 2hx5oa3gqf. wave speed?

  A string of linear density 6.0 g/m is un xj kjkyfh;5nj9iumf* )b4-9 jder a tension of 180 N. What is the velocity of propagation of transverse waves along the stjfx9k 5ybhf4i9u kjm*n; j-j)ring?

A wave whose wavelength is 0.500 m is traveling down a3; ,6w/v(rncexxj0 hzl-nj1 dvmwpb1 500 m long wire whose total mas(x vwjj ex/1m,r6nnb-3 w1lpcz0;dvhs 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 transverse wave :s g2 7t)rnixvv8so1eon a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of tti n7evx8vos:2gs) r1his string?

  If a guitar string has a fun5zad*:3r g jo r pexqf0w/.pc4.qip/ndamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibratiwq/.qrcezp4 3/. :gdp*05xfar o npj ion?

  A stretched string is observed to have four equa3b8w55l vki cjl segments in a standing wave drivw 5 v5i3cljb8ken at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a 9flzm ef pgvux s),280:xte0 estanding transverse wave pattern containing 3 loops. What frequg)ef0vx8 ,l:m0fex s9 tuez p2ency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear densitymko0; dsj,h5 d 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 Hz,dd jm; kos5h0?

  Find the first three harmonics of a string k tvk0fa m,3p(zyt,0fof linear mass density 2.00 g/m and length 0.600 m when it is subjected to t ,(p,tayv fkm0f3k0 ztension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibraunw )x)brlqq 1+m :jlcdjd3 *-tes at a frequency of 85 Hz, a standing wave with five loops jx -:+ dqq jbl1un)lrmw*3 dc)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.