The time for one cycle of a periodic proces o v:eq;y2ff9us is called the

  For a periodic process, the number of cycles2h+y+5:owjsbpgcl ) l per unit time is called the

  For vibrational motion, the maximum displacement from 5z;1tf* udewh (k) apjg9ajyzg) y,8g the equilibrium point is called wzuy 1*8ypgk(j);da9jf hg,5gez t) athe

  A mass on a spring undergoes SHM. When the mass is at its maximum dispkel39 c ,hdgsyn;.1tulacement from equilibrium, its instantaneous velocit 1n.s 3echdtklygu;,9y

  A mass on a spring undergoes SHM. When the mass pass( b3rq(h 6utyyes through the equilibrium position, its instantaneous velocit6 h(quy3(ytr by

  A mass on a spring undergoes SHM. sssndf460bw6 When the mass is at maximum displacement from equilibrium, its instantanesn0s4 6fd6wbs ous acceleration

  A mass is attached to a vertical spring and bo i7b)7+z0 1fw uut 7g4fwyhrucbs up and down between points A and B. Where is the mass located when its kinetic enerui)107wt4u fz 7fgyr7 w+uh cbgy is a minimum?

  A mass is attached to a vert8nt/jfkb3;()ih sxp jical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is kib; h3 jnspt/(jx8f )a maximum?

  A mass is attached to *w4d*u,mlbk cfr)w/ np z4:jga vertical spring and bobs up and down between points A and B. Where is the mass located when its j* 4: rfwk*/mld w4)bu zpcg,npotential energy is a minimum?

  A mass is attached to a vertical spring and bobs up andnqjkd7/ l,qc 8/0;52ctlfja dv3nb dh down between points A and B. Where is the mass located when its potential enerd2a 0c n8,vq 3tqbd/7c/dk j;hnf l5jlgy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spr)vf v9nqrkrpi sp-ek -2 lb0h,gyc/)( ing system produces what effect on the systempy(gr ) eiv-phc0-9f vn2ks/ rk,)blq's mechanical energy?

  Doubling only the mass of a vinkq8 yza0a6b:lzl +n -brating mass-and-spring system produces what effect onn 0lnk aqab+8 l6zz-y: the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-an91zkcwc/ su( cb .y3hid-spring system produces what effect on(h1c/ki.ccb3u sy wz9 the system's mechanical energy?

  A mass oscillates onogaxua/ ,s :3v the end of a spring, both on Earth and on the Moon. Where is the period uoa:s,ga/x 3vthe greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind epxm b1 2l; wp.x*pp;tof change in the resonant frequency of the system?x*px bl2m ;1 .w;ppetp (Assume no change in the system's mass m.)

  Increasing the mass M -u -v;r;s1mbryvuv:g of a mass-and-spring system causes what kind of change in the resonant frequency of trg 1 :s-vuuv v;my;b-rhe system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sp)h0x5yf 9o3nys7 v0ri aw.xgvs1wx ,c ring system causes what kind of change in the resv)xx sy7x3oih, v5f g cn a.s10ywrw90onant 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 to8k3kh-lydw .c90xd09tutnh i a weightless string of length L. For this syste90w-93u yik td hc.dkt0nxl8hm, when undergoing small oscillations

  When the mass of a simple pendulum is tihse *bsvlv tnh(c ** m610sw)ripled, the time required for one complet v6(bhs)lewsv n*ih**st m1c0e vibration

  Both pendulum A and B are 3.0 m long. The period of A is T.rk, 0k 7*y+qnc+lcu5h3 kloso Pendulum A is twice as heavy as pendulum B. What o0k5 sul+ qy+kchnkc* 7,o lr3is the period of B?

  When the length of a simple pend w - /rnjkqvg+q51jv6q+v:vfc)fn fg3 ulum is tripled, the time for one complete vibration i5 1 njw j3n:q6qvvrgfvc/vg+q -k+ff)ncreases by a factor of

  What happens to a simple pendulum's frequency if b2kn*wnzdt h9 e3- *shy mc-nw-oth its length and mass are incres9n y-- mc*e*tn2 nhzh3-wkwdased?

  Simple pendulum A swings back and forth at twice the fr-7odai( m2bic7drut , equency of simple pendulum B. Which statement is correctcombir(7t7,au i-2 dd?

  If you take a given pendulum tg32 t qgaf/cmama 3,:yo the Moon, where the acceleration of gravity is less than on Earth, the resonant frequenc:t,c m2afa g3a myqg/3y of the pendulum will

  Curve A in Fig. 11-1 represea uty4t*srihqt v;;k 4v)f ;u;nts

  Curve B in Fig. 11-1 reph nd gu6z -*)a6 cr,zesebag8s, 2opd3resents

  Curve C in Fig. 11-1 reprxkzb9q;s gsg x1.ej 7:esents

  For a forced vibration, the amplitude of vibration is fo)n5hdphz)n r4ss7 g m/und to depend on the

  In a wave, the maximumr+l7 tfjx+hl oc*7 x)zbedr :3 displacement of points of the wave from equilibrium is cat*7xl)7h r zj :ceblx+3+dfo rlled the wave's

  The distance between successive crest+ lrep b7awe.w3 0p,uus on a wave is called the wave's

  The number of crests of a wave passing a point mz2b: fw j*l9j usd5-uper unit time is called the wave'-ms9w:b f5* dzuj2lj us

  For a wave, the frequency tuwn) q1ktqcm:c d) c7 +wouw.8imes the wavelength is the wave's

  The frequency of a wave increases. What happenowej0 eo cn8(6s to the distance between successiveo8jen(6oec w0 crests if the speed remains constant?

  A wave moves on a strinl a:+p.uitnhg r8ml) 9g with wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the i m:.)t9gr+ all8np uhfrequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, an d2s 8:bbhw 2ueg9)bta;d+vhz d tension T. A standing wave is set up. Which of thb92)uha g d;82+v:sd bte zhwbe following is true?

  A string of mass m and length L is ils6+h mbb6py4 p +ohvjf2)8j under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of th s 6 +ho8jvjh2biy6f +4p)pmlbe string is increased to 2m, with no change in length?

  A string of mass m and lnmw 9 7:cwky0hvg624md m3h:r lx.bpjength L is under tension T. The speed of a wave in the string is v. What will be the speed of a wavy0l :b.6jg2vcwnwxh:m 4r p93d7hkm m e 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 tension T. The;x9 k;5 0+ur1aw;/kv ssjuy9amf nsmg speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is increased 1ys9vmwun/a ; 5x90rfgjkas +;sum k;to 2T?

  In seismology, the S wave is a teoo fnvu1) .h;jfagk-qbkb*( ;78rpk ransverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the particlej.b1bo p7fv)fq ;oe8grk*nhkk (-a u; s is

  In seismology, the P wave is a longitudinal wave. me ci8fh,) auu.9p+baAs a P wave travels through the Earth, the r 9 8)mahfec i+aub.up,elative motion between the P wave and the particles is

  The intensity of a wa4a9yx7gnyrb*; ui+qc ve is

  A wave pulse traveling to the right along a t*m0 p 3tvommgf m*09:;mu gkrlhin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and kmg;tmglr9f :o 00 mumpmv *3*transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other onm.mm;gmazh08-o.v d.: cyomc a string, one is traveling toward the right and the other toward the left. At the point that they oc;m.g8mo.mma-.yomdczc h :v0cupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one travof7 zt isr1c)+eling toward the right has a positive amplitude, while the one traveling toward thet fz1+ocsr)7i 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, such as a string fixed at both ends, occurs wl kfia4yf+4 9fhczi 3hx90 m;jhen

  If one doubles the tension in a violg1 -ckou (i eb3hg-hu9in string, the fundamental frequency of that string will increase by a icg-bgh 91(eu -hoku 3factor of

  What is the spring constant o)+w. j7 3zu 8wzjfsbqdf a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended frb qwf7jdsu w .8)zj3+zom it?

  A mass is attached to a spring oy(myy:2 gv6gyy+hq 4hujvx :1f 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. qg14juy(y6yvmxvy : y+h 2g:h 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 cons yo-8jau9g/xh2me-m ctant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a fojac- 98 gmuheyx2- /morce 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 spring constant 60 N/. zgqxc8ml3op i 9yfl10o8;tnm along a horizontal, frictionless surface. The spring is initially z8m f3tylpl.nq;1xi9 0c8g oo 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 6bss c2quqd*, 9nsxn4 goes through 10 complete oscillations in 5.0 s. What is the per6d xqb 2s9nsn 4*uqc,siod?

  A mass vibrates back and fo83dnvp ib5 )*19 iq/-xt.hirmyio phx rth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this) q b8r/y5mi .xixtp*n1ip9 oih hv-3d 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 bwz,bq8xn2f a-)i.* db 6tiovhorizontal, frictionless sd ,n6)b*i qvf-b8b2 izxta wo.urface. The object oscillates 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 with amplitude of 4 cm. The energy is 8.0u 6sy0xe( lpt kbvyij 6 0h42hq2yq3-v J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the 6i0( yp2qvy0 het 2qbj u46hysxlk-3venergy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along ad0ak0qgy 1rp 9l,p zavm 7aw23 horizontal, frictioak pp1d9a2aywl0zrg,3 q7m v0 nless 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 :(0kve 1x.2,x o,smso sluijfspring of spring constant 20 N/m along a horizontal, fric kim: v.(1xu jos,2os0esx l,ftionless 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 con2ngt* 0hup a,vstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energ0n ta,vpg2* uhy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constr/dsie8 do cg*3c nv n(3y8sr-1ximz2ant 50 N/m and set into simple harmonic moz/8n (-2dsxsy nve1idmc r rcg8i3*3 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 ve rrc6;awkz3py cy 4 l+5a63h j-dxc4free end of an ideal spring of spring constant 20.0 N/m with 4 3crah+;awj6dz-y3 rv5e cp6xcyk4 l an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring4i0w 7r 6aatp)f8cyb/y eipmpsj ,1,l system is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 w7 r0cibiy 8l emp,as,1tp4pj6f )/yaHz 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. T;b;3rh sa. rdo:xzxrfti1 68 s) bst ec*e-dw;he object is displace8xtb d;cz s fr;et3;w-)*1:dr oisxas rbhe.6d 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 cone( lwqr 2yp 4qbs7 *dzf-k78kfzuzz1)n7 5su nstant 10 N/m. The object is dis eq7 ybrqnsf* u5lzzzwpzf 487 sd-kk)1(7u 2nplaced 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 sproc,y5; hbvbw535 lmm (+l2t plwgfdj) ing constant 18 N/m, displaced slightly from its equilibrium position,d5vlohmbm+35j2 5w ( ; llcw)yb,tf pg and released. What is the frequency of its vibration?

  A mass is attached to a spr:40bc7,fu ;- z fac8:d; bmvtgamnzn u4kewf7ing. It oscillates at a frequency of 1.27 Hz when displam;t gzn,7mn7e4u - ;:bafzc :084fkw vbfucdaced 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 attaeq dtt:wcnjd)2 -hezn57 +tz3 ched to different springs. Mass A vibrates with amplitude of 8.0 cm at a fjzed7c5wetnt2z h nqt-+d)3:requency 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 spring. In equilibrium the mass stretches thef/0n4x dd wop3 spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from re4od dxnfpw 30/st. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. uz -w1x+h 6cu-e+ajpa mi :a3dIn 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. Calculate the total energy of the syp613zj:aawuhx-u+ e am id- +cstem.

  A 0.30-kg mass is suspended on a spring. In equilibrium the m :;;+xlh 4zpgx.nn7 1n xpsurhass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest; rnh;4lugpx:. +sz p7nh1nxx. Write down its equation of motion.

  An object in simple harmonic motion obeys the folloc-1vy(i75rz juktcaqksz 4n * *ib c15wing position versus time equr* jqv nk z -c7zks1ac*14(ib5 yictu5ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the folti6phw6c5r)) zxz2 tp lowing position versus time equattxhr p6iwp 256)c tzz)ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versu g38 mjqk1,8sr+:eknqy udzv4s time equatiog4y n, rsu 1m+:8zd38eqkv qjkn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring em c4 9(ig6e zs8b1wwudxecutes simple harmonic motion accordin 6ucsw9wzdg8i1 (m4ebg to 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:mteqx)6 vgz3 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 it 6v3mzq x)g:es, 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 8r; )1mx ut+lgc.0 s. (a) What are its frequency and period o)ug+ mtx;lc1rn Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period onwa -g,/.bxren Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengtrol(v(ds.ebc ep aed3azx r8(7u l.3 +h?

  The pendulum of a grandfather clock is 1.0 m long. What is its period hl(rc3 g 9a03ro+duz-kvc6u kon the Earthuk9h3o 0zkc-r6v lg ua(3 cdr+?

  The pendulum of a grandfather clock is 1.0 mwhx9 *k0cq z)s long. What is its period on the Moon where the acceleration due tzqhw s c)xk0*9o gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical massj l2)wjx ,vj8j 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 0.50-kg mass (same diametjw)vx2 j8ljj,er sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mas;62j2 tkny5mtmk )od rjr.kb 7s has initial angular displacement of 8.0e. It oscillatesk;7r t bron65mt ky)2m.d2 jjk 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. Tqdxh o5ed8sj.2y)6a z ydoa. 2he frequency of the wave is 120 Hz. Whq6xh )sd25o .a8o2y.aeyddz jat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave m6 )23s hotz+v l-okdcat a given time. The frequency of the wave is 120 Hz. What is the wavele)cz3dsm tlhvo26- o+ kngth?

  Figure 11-2 is a "snapshot" of a wave fw1j 1mhbs/qks3fy48 at a given time. The frequency of the wave is 120 Hz. What is the wavfs 1k qsb/3m 48yfjh1we speed?

  What is the frequency of a wave wh x1 6q)wk;zh2kl94 -juem0 cazxbfd i(ich has a period of 6.00 ms?

  What is the period of a wave w;:emnm 5tv bf2ith a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengtj1q4i n*bi d6.-mn ckzh of 3.0 m?-cq4ik 6zbm *.jin1n d

  What is the velocity of a wave that has a wavelength of 3.0 m ye w /obh/79stand a frequency of 1/ tewbs yo/h792 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/s?0, o yqag(.k jdw6on2f

  A piano string of linear mass density 0.0050 kg/m is under a tensionjh /-v oq1f0/vdd) pyq+ kl;nb of 1350 N. What is the wave speefh)vv1q; 0d+nd/ypjolb /q k-d?

  A string of linear density 6.0 g/m is under a tension of 18r go3p3+r+clyh99 nrt0 N. What is the velocity ofp3grn oh9t 3+y clrr9+ propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling dik hr,g :2+uxgu(0xzhown a 500 m long wire whose totalrhkx+ hz uxu0 :g2i,(g 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 p f uo20vbsmg7h 7m.qlr*i:;vtransverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequeg.mv*7i7 uvhqrm f psb;o0: 2lncy of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whi3v591sx vjtvy hjz)h4ch one of the following frequencies can set the string intj y3vjtxvs41zh95v )ho resonant vibration?

  A stretched string is);-ov uzbbkfi5cp8igax+ 1 ullz- 29b observed to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set u15ob zl x29zlbu;+fg vc iu8a -ik)-pbp a standing wave with five equal segments?

  A string, fixed at both ends, vibrabfipb1h ggqf 36.me05j -u5s sh85 yvgtes at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to cohgf jv i ghm-p. ugs55563q10e fybb8sntain 4 loops?

  A string of linear density 1.5 g/m is under a tension of rt/3,b(o 941lplimwaj,j yd h20 N. What should its length be if idm4,thrabl /1wo,ij 3 (y pjl9ts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 gg2c3 o-e, owql/m and length 0.600 m when it is subjected to tension of 50 -qlo, oe23gwc.0 N.

A string of length 2.5 m is fixed at both ends. Whennu3--el ll/ml4dtd, l the string vibrates at a freu,t-ld ld l ll-4/m3nequency 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.