The time for one cycle of a periodic process))zbpasri- h, is called the

  For a periodic process, the number of cycles per unit timeme;v xlk sdlb*l8q4,g4h 0jc4 is called the

  For vibrational motion, the maximum displacement from t okd vx /.-d7sc0o/lwqhe equilibrium point is called the ov7skq dl.d/0c/ow x-

  A mass on a spring undergoes SHM. q6 h4,br) myqzn06 s0hj m0xkb+9f ls;mzewl2 When the mass is at its maximum displacement froz04 h lk;yq mwm06nj)hl6mxeq 2ss9fb+b,z0 r m equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes th*mob c7/i pey4rough the equilibrium position, its instantaneo4m ip*7oceb y/us velocity

  A mass on a spring undergoes SHM. When the mass ytwe ( (h(wfpj ;l78mbis at maximum displacement from equilibrium, its instantaneous accelerwm l feb8thpy((j;w(7 ation

  A mass is attached to a vertical spring and bobs up and down bet7 w*rw d v9cr7 -f+v6) vejb,ktbkjw2uween points A and B. Where is thej* ,v-few6j ) d7k2uwtvvwr 97+brb ck mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poidw. 0w ;fe jvd3c7x.zqnts A and B. Where is t q.w;3.xjf7vz 0dec dwhe mass located when its kinetic energy is a maximum?

  A mass is attached to a veroy5,uvr .l k.j7wgnx gc,z25dtical spring and bobs up and down between points A and B. Where isr., g .2nd xvuc7z5oljywk ,5g the mass located when its potential energy is a minimum?

  A mass is attached to a v /1d/styi8:l,zqufx uertical spring and bobs up and down between points A and B. Where is the sl /,q/f tu:yxi u8d1zmass located when its potential energy is a maximum?

  Doubling only the amef7 :2f)di umvplitude of a vibrating mass-and-spring system produces what effect on the sy f :7fvdu2ime)stem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring k16m1zn t.cr fsystem produces what effect on the 16cmr .ktf1nz system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring sy8efdpazf 25ygjp37d8 5w9vltiiwo74 stem produces what effect on the system's mechanical enerd574yzvl5wf2e 87a 9jipdp3f it g8wogy?

  A mass oscillates on the end of a spring, both)j 4xtil cr sk7po9+td9*s6qh on Earth and on the Moon. Where is the perio4sx h *c7s) lotjr99tk6dq+pid the greatest?

  Increasing the spring constant k of a mass-and-spr*0 o 5w*i dft8thhsld3ing system causes what kind of change in the resonant frequency of the system? (Assume no cha5i*dw0h8d3sot *t lhfnge in the system's mass m.)

  Increasing the mass M of a mass-and-spn ktw*/mv52 b/ 3x7tbcnb rhzu)p9j;mring system causes what kind of change in the resonant frequency of pzmb2t)cm ju nb7x b3h ;w/v5kt/rn9*the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-springbwn:/ cet1e g5 system causes what kind of change in the resonant frequency of the system? (Assume no other changes bn:1tgw5/ece 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 yf:sum* +zbp-weightless string of length L. For this system, whe:usy *pmb+-fz n undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for opf+ij /iw5a6xne completej 5w6i+fx/ pai vibration

  Both pendulum A and B are 3 7 qz,zx ddcozup*9o(0.0 m long. The period of A is T. Pendulum A is twice as heavy as pendc, zu d0 oqpz*(xo7z9dulum B. What is the period of B?

  When the length of a simple pendulum is tripled, t( ; l.s) h-e hfwhog aefp;tv8d7pr1/uty-0ywhe time for one complete vibration increases by a factor ofrypv( -th;de7lw eatyhf-/o uh0)1w p8g f; .s

  What happens to a simple pendulum-8qmjrm rj d+vzky,j9n 5)d,y's frequency if both its length and mass are incr598 n,mk +jrrmvq)zyjd djy -,eased?

  Simple pendulum A swings back and forth at t3xe3,gp lc oh)z+ly-m wice the frequency of simple pendulum B. Which statement is plz,e3h+-mx)3gcy l ocorrect?

  If you take a given pendulum to the Moon, where t 7)boup0z8kfv he acceleration of gravity is less than on fvb8z7k ou)p 0Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 reprhgvy 6g2oj7*gesents

  Curve B in Fig. 11-1 re zep.+zlfib+6cs 1mr9 presents

  Curve C in Fig. 11-1 p6 4 suys1nievy1 yv5phs(;5zrepresents

  For a forced vibration, the amm ;+ f2ak1u-*n c(16jgf di.fxvaszlhplitude of vibration is found to depend on the

  In a wave, the maximum displacement of pointx:f)3su(evfaf .c y2q s of the wave from equilibrium is called the wave'sxe)3cu( vq:fsff .2 ya

  The distance between successive crests on a wave is called the wave'ieen()4hd+j9yptci-poxd b4bb 0 x. 1s

  The number of crests of a wave passing a point per unit time is called t.bql0oxlw.2a +u bfr61r ssb7he wave'wsba.1r6l0qs2.bobfu 7 x+rl s

  For a wave, the frequency times the wa -l: z j,-anaheyq7u bq;2nuz.velength is the wave's

  The frequency of a wave increases. What happen95ow9*cbj kbr s to the distance between successive crests if the speek *r 9c59bwbojd remains constant?

  A wave moves on a string with wavelength l and2 sj.9asp rx:2pjlsa 9 frequency f. A second wave on the same string has wavelength 2l and tr s2l xs9ra92.aspjp:javels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T.e *l;e+aulu s tj-fq+ ,7c-bns A standing lasqu lfbe- ;e +n+ts*,u-j7cwave is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a waves a8y;gw*cv /zs- go,/iy8 ryf in the string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, witsw-v8/;zfy oay , /y*r8 icgsgh no change in length?

  A string of mass m and length L is under tension T. The speed ofz+pkp2x kwh9ovc n xqs9 b8,n+5l.*f a a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with n+s vn.pq5po9l k8 kz,f a2 x*h+bcw9nxo change in mass?

  A string of mass m and length L is under tensi04hl t52 2iwpq,xf6a /dtwdsmon T. The speed of a wave in the string is v. What will be0th qxl6wsp 52 /,dmf4wa2d it the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wav re:-h3rtt+pl) p: oite is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particles ir -ti3l:ph:r )toep+ ts

  In seismology, the P wave is a longitudinal wa ;i kn4) nngp*fls*/a-b 8jblq6zns- jve. As a P wave travels through the Earth, the relatikj )*4g ;ln*bnp jzlsfs-q 6/anbn-i8ve motion between the P wave and the particles is

  The intensity of a wave ili5rng- ge1j p- i5.t-rrclo6 s

  A wave pulse traveling to the right along a tq-o l;ri yv7 uqwjez630 4yfz,hin cord reaches a discontinuity where the rope becomes thicker and heavier. What uze46v-3zq;j y0q lfy7r,o iwis the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pu/ai4v3 zk, db0i six+ass each other on a string, 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 samsb+u03i/i ai ,4dxkzv e time

  Two wave pulses pass each other on a string. Theta05vmt 4bke z.5y7 gddr2hv. one traveling toward the right has a positive amplitude, 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 t.gt5m 4.ab vzy5tk0ervhdd27 ime

  Resonance in a system, such as a string fix uh- 1 c46g39er2udcp*thwjzi ed at both ends, occurs when

  If one doubles the tension in a violin string, tcyl* r*zk6gk(u, cv (ihe fundamental frequency of that string wilyv i6gc(kkc u* *z(lr,l increase by a factor of

  What is the spring constant of a 6g(1qit3v2 srviok0c spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from 3crv(i2qvo1 g ki6ts0it?

  A mass is attached to a spring of spring constant 60 N/m along a ho*z* hlas(m*zq ordb-8rizontal, 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 tob(*hz s8-lz*qrd m *ao 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 N/m along a horizontal, f.* gg+ftbzn /4omk(qnyy +*y+8vyc 0ukjn hy/rictionless 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 t u*jykf04n+o +( yh+c/yz/gyynk mnv.8 bgq* the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along ak 8hk /t dm(x8 qfs/.hy0cyab/ horizontal, frictiot/8/8kc k/yx b.0 hhas q(dmfynless 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 oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in 50ck/m zh nbgrq22z21d (w-8l-czvx ow .0 s. What is wnw-z1 (mcg- cd 82q 2bzrk0/z vohl2xthe period?

  A mass vibrates backb0ki/k,0k zp-( 6bn/zvxma qs and forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the (q,zx/ zkan /k vb6kbs0-0pmikinetic 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 co-hwv es u7nth h*xlkqj c h39:g:-dm01nstant 20 N/m along a horizontal, frictionless surface. The object oscillates in s0 -sjc:h3h :vl9 kuthm1 hqw-edg7n x*imple 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 with amplitude o wc1nl/..qvm .dws*q;j1m woof 4 cm. The energy is 8.0 J at this time. The mass mw1s c.mq*o./q1;.v njwol d wis cut in half, and the system is 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 constant 20 N/m 1rnfj8s / dis73bku.q along a horizontal, fr1837.rbjdksui qf n s/ictionless 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 attached to a spring o9a)m5, tc+a czwvx :iof spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates inam9 z,vt5a +ixc)ow: c 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 springvoq c/rub:;g, ,7xii51h ln92dk)kdbnllui * of spring constant 50 N/m and set into simple harmonic motion i b2;d,x,k k9 hirlgn5v*)u u17li:b/qdlconwith an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the enflwpy,6e u( *id of a horizontal spring of spring constant 50 N/m and set into simple harmonic meyup6i(wf* l, otion 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 an ideal sprpyt: rc qs/a. d0z*0rding of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maxid:p*qrads0 zc./ytr0 mum kinetic energy of this vibrating mass?

  The mass of a mass-andqlphxry96p.ri m, ;( h-spring system is displaced 10 cm from its equilibrium position and relepprq(;y irm.xlh,9h6 ased. 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. The o vbvs,7m9qvj 7/ ch2qadixbor,qsrt/35 . ee8bject is displa, b5t 7qv7hi.2m e,rdjs/ o/qs vcqxb3a8rv e9ced 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 1) oq) 1h1icrma0 N/m. The object is displaced by )rqmaioc)1 h1
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hunf k+etniyq,2 m*c*sg:g from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the fre m tqs*+*e,fn :2gyckiquency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of xltf; f10ca 6wag6x4c1.27 Hz when displaced a distance o10x;ag ax4wf6t c6cl ff 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, aqa3 fozgm zjg 10t/94cre attached to different springs. Mass A 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 maxim3gmf4z c a1oq9 0t/jgzum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass strag k9 o; y3hrret1mgj1h :+f- x(hv:tpetches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and( rghf ;ht-xpoam91j3hg try:1: ke+v released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass - w 77.iyo2q:ek +g5txgea 6nfl kkyq3stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1ga3k.kqet 762f:k5y- eyolw7+gq x in.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspende*bjv3yh7exrt 5 gxn ha:*9ig* d 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. Write down its equation va5*:h txrh*g* egji3y79xnbof motion.

  An object in simple harmonic motion obeys th ddsdku vqs( o.:)c g-xsrp-2v/cn7m,e following position versus time equqxnk).7cv2mru-s:v( ,sdcg-p/ dosd ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followinmecw)8 e5j7b. t bop3pg position versus time equatione)e b8pjptc5.3 mb7 wo:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion oqyj44 q;+czyk.fm, i ubeys the following position versus time equat +yfqqz4ucy,i;.kmj 4ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion accol (7)/jqi,nuneqzb wi +i1 xw)rding to the equatix)n1ziw+j/,nwlb i q7u()e qion $y = 0.50 \; \sin (18\pi \times t)$ 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 snros e40mm o:27;hf wforce constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10. h7som 4nfseow20r:m;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 cozd-,hvmw+f -hux ui0;mplete swings in 8.0 s. (a) What are its frequency and period on Ehm;u zxwfd- h,0vui+ -arth?

  A 3.00-kg pendulum is 28.84 m lk,.l66nv t qfyixcj-5ong. What is its period on Earth?

  A pendulum has a period of 2.0 2lxwjyg33xfhim* 8 2 es on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its b 6e.2xox oocing2 8q1period on the Eargoo1 2. ixeqbx c86no2th?

  The pendulum of a grandfather clock is 1.0 m long. What y6dtlb usb9 w 94** ucknnj0(zis its period on the Mou* nwzcb96*l9sbn tuyd4 k0(jon where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a masslee q - ejc*,kx:gcc-oxge8w ih+))0mzuss 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 u-cqcx, )kj-*:eg+zeh8 w iexmoc)0g. 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 a 20-g mass has initial angular displaceod-1 dv.0rni wa5m:rement of 8.0e. It oscillates with a period of 3.00 s. r5vamw1o r.ne-id0 d:
(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 of t)kd le:imr:/u c96rd aecj vt 2m0;y9the wave is 120 Hz.d r) eycmetm:jlra 9 v2/ti:0 ud6ck9; What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of thhkvxd-j25p42k/ *gw hsxa8sp e wave is 120 Hz s5wspgp *h-x/ 24xk8v k2jhad. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The freq5c+) /oxrnnh pk2 znc/uency of the wave is 120 Hz. Whhr cnp z+/)co5/n2xn kat is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms?*ixj s 6ncu0(y

  What is the period of a wave with a frequency ofq;nop1m3o,at0 z. vjzaneo*0 -.psdq vmi7w0 1500 Hz?

  What is the wave speed if a wave has*//jq lada(x b kabl7) a frequency of 12 Hz and a wavelength of 3.0 m?al)blkb jxq* 7da/(a/

  What is the velocity w6w8 9l42 xeb5bp qvhqof a wave that has a wavelength of 3.0 m and a frequency of 12 Hzeqvxb 928lb4qhw pw5 6?

  What is the frequency of a 2.5 m wave traveling at 1400 m/,,t ,y+5kpycron foa5s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 135y736,o( n xhzu ;vwnxtpj(,3bqv i6g :6fhe lu0 N. What isv36x x vw;nuh7u 3gj(yi,fb6h ozq,ntp: el(6 the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is t 42bg)imu ujf g9).nsqhe velocity of propagation of transverse waves along the strigj 92.b)s m)uiq4nfgung?

A wave whose wavelength is 0.500 m is traveling down adpfz uu,tw/b*g;/ z w4 500 m long wire whose total/u fg,t p/zw4d zu*w;b 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 propav*yx:j hpenxi/ 1x3eg 0bs0.sgation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the3/gix shn*v1ps bx 0y:xe e0j. following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency y-lmka6 tm0-bof 500 Hz, which one of the following frequencies can set the string inm- ka-6 yt0mlbto resonant vibration?

  A stretched string is observed to ha1(owl:ae:dv o7pxd x 5ve four equal segments in a standing wave driven at a frequency of 480 Hz. ex7dv:wopx:5 lad(1 o What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency opxwqibfb,6 1-f 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the ,-ifqpw1b6b xstanding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What should its yg;w l5 6l+yywlength be if its fundamental resonan+5;yy wyl6 lwgce frequency is 220 Hz?

  Find the first three harmonics of a string of linear masbvjqlxi ); /*ms density 2.00 g/m and length 0.6 )*l/i mqxj;bv00 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is-2.f wrgdlliy+1 rg*yb n6qmm-g 6 v5y v8ywo3 fixed at both ends. When the string vibrates at a frequen-5i *owrwmgnv6b yy l8 +f62y1yg-dmg3r. qvlcy 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.