The time for one cycle of a periodic process is cu.x+zash *3,i6 l4 - mxcpphyvalled the

  For a periodic processcpu f hj-e+1)cic cq6:, the number of cycles per unit time is called the

  For vibrational motion, the mfv3r)g cybt,l 3h*s5b aximum displacement from the equilibrium point is called 3s bcbh g,*f)vr5 ytl3the

  A mass on a spring undergoes SHM. Whe08)sk 4wm y:k5scix jmn the mass is at its maximum displacement from eqms8xc 05 k)kwyjs4:imuilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When thes v o)prwzr )sg6 qe+xk,y5o(- mass passes through the equilibrium position, its inst5rs zy) qok6w p+,vo s(x-ger)antaneous velocity

  A mass on a spring undergoes SHM. W9d8whi-vxp o6u/ r ,tuhen the mass is at maximum displacement from equilibrium, its 6udwh8/-outrxi v 9, pinstantaneous acceleration

  A mass is attached to a vertical sp ,tx x2ymp02uering and bobs up and down between points A and B. Where is th2,upx2eyxt0 me mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poijvpcy980:hd nnts A and B. Where is the m0dc8 :jp9nvh yass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and downpsrpj;14c0jt wy5 pd) fn,m*z between points A and B. Where is the mass located when 1nj*5r;40 f, w )dtzpm sjcyppits potential energy is a minimum?

  A mass is attached to a vertical spring andk n-wi *zd5ap, bobs up and down between points A and B. Where is the mass located when its potential energy i* wnzkpi -a,d5s a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system prod 51 wmb wn1v6cn7txraty9r7r 7jv 0:lhuces what effect on9rvnt7nw7 va06 hxb: 7ty jwmc1r15 lr the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system prlkk 8hx6rq+ .roduces what effect on kl8qr 6+x.rkhthe system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-springx1h,grs+rka g47jwl 1n;l m ;/ys.mxs system produces what effect any g 7sls;; 4mgk.+rlhrs1x/x,1 wjmon the system's mechanical energy?

  A mass oscillates on the end of a spring, z :9uleyr4qxh jop)d iva4 ;9j sl1-:gboth on Earth and on the Moon. Where is the period the great1 s: lyioqhej 94:lvuz94-dxrp ;a)g jest?

  Increasing the spring cot zkcj;o p08)pkl9: rhnstant k of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's mass z ht9; )ckjpk 0r8lpo:m.)

  Increasing the mass M of a maj+ ttw9j ba,c2ss-and-spring system causes what kind of change in the resonant frequency of t,aj+t 9tb2wj che system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring b*z6 ampf1p3asystem causes what kind of change in the resonant frequency of the systepapb3f1 mza6*m? (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 massel squd+vy66ko1g o2il))g8 o M attached to a weightless string of length L. For this system, when undergoing small 2 eouy8)6)sd6o1lov+igq glk oscillations

  When the mass of a simple pendulum is tripled, the tq+oyy7rha r 9pb3s yo89k ,sy9ime required for one complete vibrat3q so sr yyyk ho9r+b7p9a98,yion

  Both pendulum A and B are 3.0 m long.8 7tfv-pssul3 The period of A is T. Pendulum A is twice a usp37l8fv-s ts heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for ypppoel57v;+ one complete vibration increases by a p7 yv+; lope5pfactor of

  What happens to a simple pendulum's frequency if both its lengd:aqe pr8l6 n8th and mass are incre88 a nr:eqldp6ased?

  Simple pendulum A swings back and forth at twidv0e 2:lbh ob:ce the frequency of simple pendulum B. Which statement is correcteb02 bo:hdvl :?

  If you take a given pendulum to the Moon, where the acceleration of gravity is l 3;/bo)dqyd2e4jbg 9 aqdd-fgb af 4 )bo;2djyd39d/qgedqg -ess than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represe) 6hoj(bhtjw( nts

  Curve B in Fig. 11-1 represent lr5v jrec),v/s

  Curve C in Fig. 11-1 rwd5i9-xlz g1j epresents

  For a forced vibration, the amplitude of vibration is foua-hr 89q nte0cptkq22nd to depend on the

  In a wave, the maximum displacement of points of the wave from equil ,+-g wuq9wmkmy4bw;u-g u 1aeibrium is called kauwy4-mq mgg, 9uu w+1-b; wethe wave's

  The distance between successive crests on a waveezy.dv6a*edi-blc;8 s3p be-; q /ahi is called the wave's

  The number of crests of a wave passing a point per unit time is ne oav8je-3h3tcn np-y4:m; pcalled the wave'sn34npthe- mjoce83nvy-a; p:

  For a wave, the frequency times tfq cb (by /+zr*fjy+g:he wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between sucqh.dmp49h*xz17f a4dil,v4zc wkv akg1re )2cessive crests if the speqal)mp*24iz hw, r1v afc4.xvhk 9dd e1z47 gked remains constant?

  A wave moves on a string with wavelength l and fguem gf;)* e+.f+qwarrequency f. A second wave on the same string has wavelength 2l and travegf *.q;+f megrw+u )aels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a stphor,r vfftcu+oa7y9pm/ ) ,0ring of length L, mass M, and tension T. A standing wave is set up. Which f7/o r af+,,9uv corhp0pmt)y of the following is true?

  A string of mass m andscz;n6 + q riblu8//min ;g5fs length L is under tension T. The speed of a wave in the string ismq;z/ncunb ifs8 lg/;ri+ 6s5 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 speed iv9h )97h+l4q* s j9bpjkq7wm;hjtzlof a wave in the strinl)h7*zsjkq wqm7+ h;9l4 bvphjj 9 i9tg is v. What will 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 Lig o2sudvw 7 6 goppn.(ou+6(d is under tension T. The speed of a wave in the string is v.2(gnoisu6vpguw6odp7o(+ . d What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is ap3/,v5zzn fso transverse wave. As an S wave travels through the Earth, the relative mzf53s/zv, on potion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave t+ t2tg jg)enh6sc:bf; a;jfx;ravels through the Earth, the relative motion between the P wave and+xe:fajjg2;6 gb)hc;nttsf; the particles is

  The intensity of a wavea:c2; f+ viokz is

  A wave pulse traveling to the righmo9s 6 2n k4za-heh,sn:w p:qzt along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. 4nsw,peh k -q nh:2ms:za96oz What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amh1wsv rbei-hw 8 ;6fy./ zogdo2no, 1ya+snm *plitudes pass 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 spwwi*812, h+ydooz f-6h.n nr sbsy;aeov 1/gmace at the same time

  Two wave pulses pass each otherh(p:kdz hx2i k:l2rvw-/cj( z on a string. The 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 a kkl/id-z z 2hrx2p:vc h(jw(:t the same time

  Resonance in a system, such as a string fixed at both 1y8n( xpa q0joends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency o/8ndp2r.-jok3h.h efbd o)(pt8ahixf that string will increase by a factor off-o(e dp28 dko8 h.hp)h /r. xnb3taji

  What is the spring constant of a spmyy 8c g4pex:8ring that stretches 2.00 cm when a mass of 0.600 ke m8c48xy:yg pg is suspended from it?

  A mass is attached to a spring1ev;jhm )lnl3 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. Inhl 1e3v )j;mlt 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 spslkol v ;sq*;8ring 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 8qokl *vs;;slit is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m ald(a svkx 5 n 6+pqxf3,dem:mr3ong 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 oscillat5+ x:3 , 6vranxkd (mqfs3epdming. What is the frequency of oscillation?

  A mass on a spring undergo;):sgsa0-lht0 sy re z4w/ 41do soxlil/ts1 ves SHM. It goes through 10 complete oscillations in 5.0 s. What is the per4silltg0s1d;os 0sslr )w 4 /z/yx1athv-o: eiod?

  A mass vibrates back and forth from the free end of an ideal spring of sprix) dr bs;iy()vng constant 20 N/m with an amplitude of 0.30 mr vd())ibxs;y. 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 tm 7chm(j:u zo*o 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 (:j7uz mhcm*o 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 this ti0 kj7 ajk* imi.s+gtz8me. The mass is cut in half, and the system is again set in motion0a*mg.+ 87kjizsk tj i 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 along a hom +1bq4i dzb4r49g ryqrizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of d+grmb1 ir4q9z q b44y1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constanu3(mmy h+v9wrt 20 N/m along a horizontal, frictionless surface. Themmy v hr39(+wu 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 b7;q)1flm islto the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. Wh;msl1q )il7bfat is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constant,a / bzw-an-cz .ezfb )k+tp4p6 qot8 *w2oyqx 50 N/m and set) wep2*-,azp xzo.bwb zty/t6oa+nc4q-f k q8 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 om w3p+5oc(dr 2y2ec8k6ne cvff an ideal spring of spring constant 20.0 N/m with a(32oc+ rk8enc62ywfc5 m ed pvn 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 eq(xk )jj8te s(mhx rd15uilibrium position and released. A freqj dk m8xsht)j51((x reuency 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 objec7co ;(v4catjl49 k irtt i479tklvoti;4j ar(cc 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 0 wuuc )vgex4* +-di)wva6vzl spring of spring constant 10 N/m. The object is digv-a zu)4*exc6d wvil+vu w) 0splaced 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 sprinzsxsv3 k/+i0yt 6v2t a-j fp0zg constant 18 N/m, displaced slightly t/2svj x 0zik+t-6zap f30vy sfrom its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency +n)/diq2l blp of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity d p/ln +i2)qlbattained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrateskz: 7/ci,uwi j 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 theik/ju7: izcw, maximum speed of B?

  A 0.30-kg mass is suspended on ; 3,gdwe ut,oxus*5vk ww-/wea spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distancv;kwwe* dw5 wx, go3u -e/us,te 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 the mass stretches*-- bcti gp ynttl-68y the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down anlnt g*t6--b-y i8cp tyd released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the q* mj.6v csbhv5-ax469tq sej mass stretches the sp tqjbs6-xqsv5cav m.94 ej* h6ring 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 of motion.

  An object in simple 5shzwo:* ,5whhzwvw 9;x yx* gharmonic motion obeys the following position versus time equatio9;wowv*z:hwzx,h hsy g * 5wx5n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position v2 :4)fflh .szikt nzi6ersus time equat : .ifzhkn6s)zf4 ilt2ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positss,s7 l8h/tgk ion versus time equation /ghs,sk l7t8s:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end okvxgupih/3ey c4p3/ t+)x*gy -bva:mf a spring executes simple harmonic motion accor gyxp h v +/pxg33/m-ivt4cba u:e*yk)ding 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 force constant of 20.0 N/m oscgyy;je+tc a2 4illates on a horizo t4+yc2;geayj ntal, 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 its fr yvtqg14/p rz:ca+cqrk82.z2k j3oxv equency and period on Earth?2k pjz :2rcrva/k+y8og c3.qz1qv4x t

  A 3.00-kg pendulum is 28.84 m lon42gwlr2+bzgf g. What is its period on Earth?

  A pendulum has a periodjhz,6z )sx6ejmbzi9+ of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its pewv; jh5ren 9s0riod on the Earwv0; h9e5 njrsth?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the 6 +ilpbgsgyam+ogj(jfr 2. 60 Moon where the acceleral gym2i +06ag( gjr+obf6p.s jtion due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum cons;kcp6cl;e)* v(j jo cgists 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. o el*c )c;(vgkj6;jpcWhat 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 initituvv)z38q r u+um8 k3yal angular displacement of 8.0e. It o3u 8q8 )m+u3tvv kuzryscillates 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 frenchq0zmz,(0b w p man;8tf e)3quency of the wave is 120 Hz.,pnzz tq3 e(m); hf0wcna 8b0m What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequr1 o rk;rvc:5hency of the wave is 120 Hz. What is th5k1c:vorh ;rr e wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. Theoj6chak x-0n cu- jp-z,d2-bi frequency of the wave is 120 Hz. What i ij-c x026ob,up-- hjnzk-acds the wave speed?

  What is the frequency of a wave whichgxb y4jsn25y 3 has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hc,jmns jdvjr*(-q( 9vz?

  What is the wave speed if a wave has a frequency of 12 Hz a3uu pcy838 xo+ug /lkwnd a wavelength of 3.0 m u3xkopwuc3u8 8+g/yl?

  What is the velocity of a wave that has a wavelength of 3.0 zk 5 q) )enp5p/hng7vum and a frequency of 1 n 5)7qp5kp) neugvh/z2 Hz?

  What is the frequency of a 2.5 m wave tra:loleu5m, y9jveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 1 d+g2 lsov 9zlj t611qvp4k+zv350 N. What is the wave spk62 zztoj 9qgvvs+14vl p1d l+eed?

  A string of linear density 6.0 g/m is undc x bf8 r5hh;c+qv.c*zer a tension of 180 N. What is the velocity of propagation of transverse waves along the strinv +8*czc .rbh5f x;qchg?

A wave whose wavelength is 0.500 m is traveling down ciyu/p) 8ifw -ou+0vu a 500 m long wire whose total mas)pvcwi +/ if0u8oy- uus 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 on a 2.0-m longb tl l- +kv )6hq9 xbc*ii000qlyp/tjs string fixed at both ends is 200 m/s. Which one of the following is not a resonanps0ikl*9 hxb +t/liql0 tjvq)- c60ybt frequency of this string?

  If a guitar string has a fundamentathdvfvi6g13e kkp a8s*zus- ;s7xt p9)e+ sw:l frequency of 500 Hz, which one of the following frequencies can set the string6:1s x3takf ehz+gtv8 9e sk;vpdipw-)u s7s* into resonant vibration?

  A stretched string is observed to have *usg t81d .ztqw2;qlyfour equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will setwt1 zdlu y.s8g*q 2;qt up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz w : t6*amny d-fo/-seocith a standing transverse wave pattern containing 3 loops. What frequency is needed ifoc os6- y*fde:nmta/- the standing 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*ek,:ra;z jdqisb.6t its length be if its fundament ;.rbz teaqj*kdsi,:6 al resonance frequency is 220 Hz?

  Find the first three harmonics of a st1w8 r6pu.hq i)zti g.fd5r;hcring of linear mass density 2.00 g/m and length 0.600 m when it isu)hgi5 f.hp 8wd.zrt ic6;rq1 subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Whenp7d vb8 i-mo 5p8v,n acu2rue: the string vibrates at a frequency of 85 Hz, a standu n8mv5vp br cd,:-up2o78ieaing 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.