The time for one cycle of a periodic procesw8.8bdnqza -yc3g1w x45vd kjs is called the

  For a periodic process, the number of cycles per unit l:qday1op/irt6o93v2h 4d s ctime is called the

  For vibrational motion, the maximum di4k co+ 9mzg5aqsplacement from the equilibrium point is calqmc549 ga +kzoled the

  A mass on a spring undergoes SHM. When the mass is .r 6ib9 d;etkerx): ybat its maximum displacement from equilibrium, it btr.e:i9 d; k6bxe)rys instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibrizwokb358x 8ugum position8k 3b xgzo8u5w, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displa,*3d3 ) o-rbxamlz7f; weqp gccement from equilibrium, its instantaneous accelerx ra*bwdo3 -;m3g,qp f)z lec7ation

  A mass is attached to a vertical spring and bobs up and down bk2avh +,;/dw0d *skpaqyy3c oetween points A and B. Where is the mass located when its kinetic enerdwqa,hk*c0+yakd ov;s 3y/p 2gy is a minimum?

  A mass is attached to a vertical spring and bobs up and dohy ;w)bgz y(4xwn between points A and B. Where is the mass located when its kinetic ener4wybh)z(; g xygy is a maximum?

  A mass is attached to a vertical spring and bobs up and down nzih)rsy1 e t6a c wzz:.p0l92j/ hbc+between points A and B. Where is the mass located whez yt 0 i:c16zb+zw9esl2.rh/nhjpca)n its potential energy is a minimum?

  A mass is attached tow1 (,ze cxrhs;z- ut; 2)scqrp a vertical spring and bobs up and down between points A and B. Where is the mass x u ;cphzctrr-s,);e2q z(s1wlocated when its potential energy is a maximum?

  Doubling only the ampliza+jq1 p juaw)gb+w,.tude of a vibrating mass-and-spring system produces what effect on the .zwq+ aj1w+j,g)abpu system's mechanical energy?

  Doubling only the mass ols*a :u0s k(eanv+c 5ff a vibrating mass-and-spring system produces what effect on the sys(ecua *fss: l+5n k0avtem's mechanical energy?

  Doubling only the spr( 0reg.2r,2jujsmya ucq* kw+) m.w saing constant of a vibrating mass-and-spring system produces wha0 )r(s*gmc,+w j .sqea.k2 2 umauyrjwt effect on the system's mechanical energy?

  A mass oscillates on the end of a bf*w fkcrqa qe2 v5gwkp/6*2 kwx(0p yqt846rspring, both on Earth and on the Moon. Where is the period therqbkf qtrep ag/v8k*p 2wqf(4 w662cy5w*0xk greatest?

  Increasing the spring constant k of a mass-and-spring sy*-ft)j im8oz p4jlhe( stem causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mp)e 4l z-ji *tjo8hf(mass m.)

  Increasing the mass M of a mass-and-spring sym2bu,l3 dbv i6stem causes what kind of change in the resonant frequency o3 vbm 2,ldub6if the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitudl hrumjh b377vs6 h,1ye of a mass-and-spring system causes what kind of change in the resonant frequency of the symh7 1s, uh7 jv36ylhbrstem? (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 ma5m/ul (ouwrvgk; w8+y7gp8fmmm + ko2f k 6d5hss M attached to a weightless string of length L.u2dgfw+mv8p5m7;oo 5f 8kkh6+m(kmg/wrl u y For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one cmxkqg+9i b(5 xomplete vibr mx qgi5x(b9+kation

  Both pendulum A and B are 3.0 m long. The pery5q. bkd.l *mc1dc 4mvsb6i+ziod of A is T. Pendulum A is twice as heavy as peny1 bmb6d l q*viz c4.md.k+sc5dulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one compleli g/j..c csaqy1,f -ute vibration increases by a fac jy .s lqc-c.1a,ug/iftor of

  What happens to a simple pendulum's frequency if both 4k9kca 5jz 2dqits length and mass are increa92ckajk 4 5zqdsed?

  Simple pendulum A swin)n7 6dqyc-vbq )lq-8 tmw b)args back and forth at twice the frequency of simple pendulum B. Which statement is corrvtq w8ln dba)qy6m )cbr) -7q-ect?

  If you take a given pendulum to the Moon, where the accel60a ,bz5 rjzyzeration of gravity is less than on Earth, the resonant freque60zyr jz5ab ,zncy of the pendulum will

  Curve A in Fig. 11-1 represena- 8i;bm1d1az fkobe;ts

  Curve B in Fig. 11-1 represen03 *mh vucg/buiq (ynq;xkb+; ts

  Curve C in Fig. 11-1fx;o-m wbl0q; represents

  For a forced vibration, the a; 6mkttputkiew ;t8 **mplitude of vibration is found to depend on the

  In a wave, the maximum displacement of points of th c pkh a18 9.q;h()f)fmpt)qb4 d9v,nwy jceaje wave from equilibrium is ca fnc e .ja9q(,8 4dkp9)qh);)f1ajpctvwmb hylled the wave's

  The distance between successive crests on a wave is called the vty cl 2qv *1e.,)wo-scmtt 7mwave's

  The number of crests of a wave passing a point per unit time is ca;1* s5 tufbl xyw61waolled the wave's1lt sywaw 651;o* fxbu

  For a wave, the frequency timec* gtn-j.w8)e kg xbdhef63 v.s the wavelength is the wave's

  The frequency of a wk gc d3op74tc1n8cem4 ave increases. What happens to the distance between successive crests if the speed rempd 4mg4c1oc8 3nce7 ktains constant?

  A wave moves on a string w+xk mr3- sjxbq6q 61iq p2n2fwith wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the samq 6k b+nqx6rm 2s3wfx-iq2jp1 e velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, , oc7gpy vj7)nand tension T. A standingpc 7) y,n7gojv wave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of4 v,zvfjw-e1 /7vjdt k a wave in the string is v. What will be the speed of a wave in the v f /kv-zw7tjej1dv4,string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length Lq:xmjq;3 a8 wzj vse71 is under tension T. The speed of a wave in the string is v. What will8 j:7se wqavqzx3 ;1jm be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under ten qar2, +cfiy2-dy9b vqsion T. The speed of a wave in the string is v. What will be the speed of a wave in the s,afr q2iyv9y +bdc-2qtring if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels thals:1ql5 ig0 frough the Earth,l:a0 qsfl5ig 1 the relative motion between the S wave and the particles is

  In seismology, the P wc.qp*vmu kptdg:2897igwqh, ave is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the ,pqkvug 2*hdt cw7qgpm 98i.: particles is

  The intensity of a wave vih8ah*4k6+dig h. q iis

  A wave pulse traveling to the right along a thin cord reaches a discontinu2eb*q ztu dvc9ggnwd.24 g1 l0ity where the rope becomes thicker and heavier. What is the orientation of the reflecte. wb2c 9g2gqevndu4* 01tldzgd and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eavvg05y .ua)otch other on a string, one is traveling toward the right and the other towago05 v)vu. tyard 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 traveliq-g4/x qn01:5 bsnwvv+g hcbyng toward the right has a positive amplitude, while the one traveling toward the left has an equal awqh4-bg0vn:/1b +csnqg xvy 5mplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, suc dvjc7851e(*ardojsi h as a string fixed at both ends, occurs when

  If one doubles the tension in ad qj yz bs7/2amn;2w3a violin string, the fundamental frequency of that string will i2 ays 2d/3nmjqwza;7 bncrease by a factor of

  What is the spring constant or(g rpaco 2f4*f a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended fro4 ac rgfpr(o2*m it?

  A mass is attached to a spring of spring constant 60 N/m au3m-l jllq-ks9n7 ic7l cal;1long 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 37 -nllulclm -j17l cia9kq;samplitude?

  A mass is attached to a spring of spring c/zux l+rtym hbd,z50 )onstant 60 N/m along a horizontal, frictionless surface. The szd mz/0,)uty+x5l brh pring 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 period of oscillation?

  A mass is attached to a spring of sprin ;ao)kyam6n im7a)q0xg 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 masaq7xaao 6im) k0n;)my s 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 goes through 10 complete oscm/ddx u3v4);n al,k (ts)z jzbillations in 5.av)skzxz3(l )t,m;jd/d4nb u 0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of spring coq.audx ,q)z1ys0tj/vg1x :jx nstant 20 N/m with an amplitude of 0.30 m. What d)0 jvag/x1 q.zujtx,1x :sy qis the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizoq+ nv1. udnp*hntal, frictionless surface. The object oscillates in simple harmonic motion and +h*qvpun .dn1 has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at thi. idthtk t5 zt8bq;-/us time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy of the systdb kh./8-tqt5u;z tt iem now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a hosi + ikt7uqs8m3 /cd)rrizontal, frictionless surface. The object 3u i8)/ cqd+7ss mtrkioscillates 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 attached to a spring of safc3-1l10 0fm p*8v rtynfo9an2d sngpring 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. r-ctylnf8m 0*0an1 d9a3ofsg1v 2n pfAt 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 s7 vgul 0)o9x ,fn6u*cioj*u5pxk g:eq pring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m.g,gko jo 9f*pq ul:)5 xxe6vc7un0*ui 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 const;sua4pwj:u1 zw 2:ya7 h/- byly +bzctant 50 N/m and set into simple harmonic motion with2a4-l: z wbpcb;h/t y: +uw7 1yyauszj 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 an ideal sprcz5) l)eonjk-u2t 3uming of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mt5zu) u2lco -)nek3 jmass?

  The mass of a mass-and-spring system is displacedjw1(q d:k4nl/l(h:htwygf 6 y 10 cm from its equilibrium position and released. Akqh::w/g 6dy1 jlnlh 4fytw(( 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 s /vkvqqxmqot .fimkrs:l.681v vp63 6pring constant 10 N/m. The object is dlkf:8p vq rq 66.mimv6k3 vxs./ tv1oqisplaced 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 spr5i,-4b a l1zu5k ibu)v it7bbning of spring constant 10 N/m. The object is displaced b5)a ibb4tkl-u b,uii5bv1zn 7 y
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 spri *.8 l8cmnwdimiaz a sd40thct65s a,6ng constant 18 N/m, displaced slightly from its equili,t8lnd4i.6 d8*0 hsmt 5szwaimcaca6brium position, and released. What is the frequency of its vibration?

  A mass is attached to a 8h u)9dzd d:u:g lhgs5spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is ) duz 59:u:hglghdsd8 the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates w;5q6avq- dnz9bzje d6ith 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 speed of d9zvz 6a-e6d5 nq;jq bB?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches the shk6nix r :7o.opring 2.0 cm downward. The mass is then pulled an addr.:o7ohkix 6nitional 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. Inu*b/p;ix/jnrkp f m, 3 equilibrium the mass stretches the spring 2.0 cm downward./*,x/nj rfm ibpku3p; The mass is then pulled 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 suspendesfp1tgs 3c:m g ;m(h6unx w38jd on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Wrisws m138 j :xf(uhtc3p 6ngmg;te down its equation of motion.

  An object in simple harmoniccrxcq.cdds5 q+2y4 */pxq4ow motion obeys the following position versus time equatic45* cy/sqx2w qddoc pq.+4 xron:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posiy 4j:h4z gp/ njswosp,*bw b./ ;old-ktion versus time equats w z/;,p: gsj ho-bljp.w/n d*oky4b4ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus tcga0-. md 9m0w f52fiua0zthq ime equ59m t2agih-zwf.c0u qmd0 f a0ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmox 8u;1q1-yrm uhh yfb7-5ywhgnic motion according to the equation x;7gby-yhu 5rh1- h8 mw1ufqy $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached t 7 8jglkci2g0fu/p)or o spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10c2kj/ufl 07igrg8po ) .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 frequenabs .*gx4ucxz*bz ,0 jcy and period .4u cbg *zbx0sj*z ax,on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its penz u6,7h fbzp8riod on Earth?

  A pendulum has a period of 2.0 s on ofr3hr zgeg;vjwwt5t+70g5ww0n8 2 u Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m lo:dmacwr4v qh7-x b7 32de8naang. What is its period on the Ea7bm r 8qx3d2 7cvae-: dwahna4rth?

  The pendulum of a grandfather clock is 1.n y8n1edns;h6j9yiv- 0 m long. What is its period on the Moon where the acceleration due9y-i6;nhne8v n1jysd to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consist)k9qyk (1za 1l r9uqgvs of a 0.25-kg spherical mass attached 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 qg(l 91kuq1yv9 kraz)0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has ine bmkm(xn)*z 5-b *wrnitial angular displacement of 8.0e. It ose k 5n(wrx*)nb*-zmmbcillates 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 "snapshot3un11bj3 rsu pmve6 3r" of a wave at a given time. The frequency of the wave is 120 Hz. What is the ampl3np 1u 61s3rjmvber u3itude?

  Figure 11-2 is a "snapshot" of a wave at a 4 8. l)ug.dnj 3uesmzq18t49+opmixjbe 2fbf given time. The frequency of the wave is 120 Hz. What is theij. bgfl8u2zp).94mexdq3 s fo j+nu81be t m4 wavelength?

  Figure 11-2 is a "snapshot" of a wave at n k0apullwykr52 3k0:u .fqh *a given time. The frequency of the wave is 12020uu a*kh5 f:rql wn0.3lkyk p Hz. What is the wave speed?

  What is the frequency of a wave which has a period of; ly/*2 ufha2bamyt kp q5 ck;d;bli)- 6.00 ms?

  What is the period of amf vt:z t)4xz7go.n7 t wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a freq y),u+np3a ckouency of 12 Hz and a wavelength of 3.0 mu+ aykn)c p3,o?

  What is the velocity of a wave that has a wavelength of 3.0 m and a :2xpcy u6 6hrwk5agnom 8,sy6 frequency of 1:muo5ky8rsxh2, 66c wygn a 6p2 Hz?

  What is the frequency of a 2.5 m wave traveling aw7odz5 bo9a2lx 0j 8bsgcg 2o:t 1400 m/s?

  A piano string of linear mass densipb/ 5f l-syti(k ;q xwh:d87fl(dh* ajty 0.0050 kg/m is under a tension of 1350 N. What is theh f5q7fald8jhtd((pi:-lw; x *s/ky b wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. Wha3sxfi fht0k7- ud *;tmt is the velocity of propagation of transversesfhum -tt* 07xdi; k3f waves along the string?

A wave whose wavelength r(cwp3ljg*ys s0g- a1is 0.500 m is traveling down a 500 m long wire whose tot1 j0g*swcysal3g-p r (al 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 propafs99. fvr6x me g8k5ckgation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a r9s9grec5x k6. f8kmv fesonant frequency of this string?

  If a guitar string hasvyz+o e3kk/a/ a fundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibrao//av ykk+ ez3tion?

  A stretched string is observed to have four equal segmenb, : -ewhy)+(heu3 b(n)jtgcwcmv)ws ts in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal by:gt+w()w-e )usmbjch,(3he)cvwn segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hzscubf2h hubt g-p ;0): with a standing transverse wave pattern containing 3 loops. What frequency is needed if the stau:) fh-bt 2pus;c gbh0nding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a ten xj z 4kkf*1y q /.svd/6/rt5ddnzbb,rsion of 20 N. What should its length be if its fundamental reyj,qz/xbrdf1k/dz sb ./rdk v 6*n t54sonance frequency is 220 Hz?

  Find the first three harmonics of a string of l7 ea*xrrrp)p hz9 m gim9)td*-47 jwgoinear mass density 2.00 g/m and length 0.600 m when it is sub phirg9x9 7tz mdjmer)4p*r *a7-)og wjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrat-4hzu8k + eyyf4qo-laes at a freque-l yz4q4hoa+-kf euy 8ncy of 85 Hz, a standing wave with five loops 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.