The time for one cycle )heruya za y;7 u/ki3c)wx*. dof a periodic process is called the

  For a periodic process, the number of cycles per unit time is calwdfwg t ( cc,6.ei+rk1led the

  For vibrational motion, the maximum displacement from thew i t):jq4iw0xkl2g*k equilibrium point is cal:2w0 ki)kgxj w i*l4tqled the

  A mass on a spring undergoes SHM. Whejpfoh-9 dr(8 en the mass is at its maximum displacement from equilibrium, its instantaneous velocpd98h (-erf joity

  A mass on a spring undergoes SHM. W9+t 3os9xdgy/xl)y akpn 08nc hen the mass passes through the equilibrium position, its instanta ypy3xkl 09asd9c xt)g/n8n+oneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum dioxvn/mu 5peh b7 v(g5(splacement from equilibrium, its instantaneous accelerae v/g (h omxp5nbv(u75tion

  A mass is attached to a verticab(o0bakr p2+gl spring and bobs up and down between points A and B. Where is 2 b0orgbpak(+the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and deksdf5 d : y-t1/zljp-own between points A and B. Where is the mass located when its kinetic energy:-y ddts 1p5f -jekz/l is a maximum?

  A mass is attached to a vertical g3r zi(l8;pmu spring and bobs up and down between points A and B. Where is the mass located when its potential energy (lm8 3;p girzuis a minimum?

  A mass is attached to a vertical spring and bobs up and down betweec+ n7qywzu2;5) txv*th*s xknn points A and B. Where is the mass located when its potential energy is a maximum?* w2+kqxsttnx) y* uv ;n7c5zh

  Doubling only the amplitude of a vibrating mass-and-spr j(*atpei+gg 0n jc5xn,m/l o*ing system produces what effect on 0glacnn+(xm *j t/5eip o, *jgthe system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces(pteeq1 ,/3n-h:pj cm ,yqcou what effect on the system's mechanical /(tce n:u j 3qc,1pqo hpe-m,yenergy?

  Doubling only the spring constant of a vibrating mass-and-spring syc(q tgn1+tpe :ol1t d*stem produces what effect on the system1tgd*+tt(peqo :c 1ln's mechanical energy?

  A mass oscillates on the end of a spring, both on E,rl0o mv/1.o ugi6ha cg/3 jfyu ze;l8arth and on the Moon. Where is the period the greatelau1h/rj; 6cov u, y/.3 eogim0lf 8zgst?

  Increasing the spring constant k ofq +gihd j ,7,xu2eym:f a mass-and-spring system causes what kind of change in the resonant frequency of 7qdf,m: ehu+,gij2x ythe system? (Assume no change in the system's mass m.)

  Increasing the mass M eu8ni .qu3urr6*-vlmof a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system'-8r uqu i6 uv*meln.r3s spring constant k.)

  Increasing the amplitude of a mass-bt wt;pzi*f27x1 lfa4and-spring system causes what kind of change in the resonant frequency of the system? (Azt27; 1 b lw4ti*xffpassume 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 Mxkb n ;qzwni1l6j5-ej0 - sd(i attached to a weightless string of length L. For this syste0 swi5en6 j d;-k1zn(-ljbi qxm, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one yhojv1cuw 52 cl6(9i+)bpvh ncomplete vibrp5ncbu 6v2 1yo+ihw c()vhjl9ation

  Both pendulum A and B are 3.0 m long. The period of A*57x(x2 ze 3kfw qthjs0b0fy o is T. Pendulum A is twice as heavy as pendulum B. What is th025 zexjfb*stw0 3q hxy7o k(fe period of B?

  When the length of a simple pendulum is trip/ s g1pez.to0yyp2ym:led, the time for one complete vibration increap 0:ysyte y1/.omp2 gzses by a factor of

  What happens to a simple pendulum's freqperwia4) x.e4 uency if both its length and mass are increased?wa4xrp ei.)e4

  Simple pendulum A swings back and forth at twice the fre+kw-mg8 )clou (fkzv 5quency of simple pendulum B. Which statement lmuk 8v+ g)- ozk(fwc5is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravity is l5+6lybg+:u ra tdd2sz ess than on Earth, t: tr2db+y6azg 5 ud+slhe resonant frequency of the pendulum will

  Curve A in Fig. 11-1 f5ff)dtx8ucigx,i r9d* c4/frepresents

  Curve B in Fig. 11-1 ruhuyz( ; b:r6nepresents

  Curve C in Fig. 11-1 representga v2/wlpr n) 1hyjt/f4sm ;m-:ssj- ws

  For a forced vibration, the amplitude of vibration is found to1qtl+ .k,hcpw depend on the

  In a wave, the maximum displacement of points of the wave from eh,*at, x sb3 3gyjpa7zquilibrium is called th3 zj3 7ghtaa*byspx, ,e wave's

  The distance between sur vq6p0cfw+:-;w8p/p tn ry pdccessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time ; 9gllu 9-+a/q x njudoma+k*dis called the wave'sx -/9udu+ld+g alokjn 9 *;amq

  For a wave, the frequency times the wavelena/e3*mcf9s ;imv a:k rjjzz,1gth is the wave's

  The frequency of a wav; 9on)ed( ;yyb2t qhkfe increases. What happens to the distance between successive crests if the speed remains qh(9nty2oy;ef bk;) d constant?

  A wave moves on a string with w -x;hnk t503epegmqo 6niq;n+avelength l and frequency f. A second wave on the same string has wavelength 2l and trk05n3 nte ;qngm;6ipoe-qx+havels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave ols t7:rp(k3dch5 5ak un a string of length L, mass M, and tension T. A standing wave is seprh5( tk7u5 ls3kda: ct up. Which of the following is true?

  A string of mass m and lengah71ot ( s*uuo. 6xnfoth L is 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 the string is increased to 2m, with n.1suf*oauh oo 76n(x to change in length?

  A string of mass m and length L is under tension T. The speed of a wav0fe k tbiy3ru06vrn/f6i,v s5e in the string is v.f vb/n r0f3 6e,urvk6 sty05ii 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 a+lm,4wm oug8 flryj(0fjnz3l6 :,ypa nd length L is under tension T. The speed of a wave in the string is v.y6 mrj(+4,lmfflauz p: jn8g3o,w 0ly 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 travels through :; k;vr1obnbtthe Eart kb1; r:botn;vh, the relative motion between the S wave and the particles is

  In seismology, the P wavk 9tpb,n 3:nge,g-m wqe is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and the particles i,9m ,bw:kggnp n eq-t3s

  The intensity of a wav kr, kob )u8ihr2fr-r)e is

  A wave pulse traveling to the r a+l(cyawco 16hmq1s;ight along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. Whatoaa +ym;sw1( chcl1q6 is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eac5 aj- l*lbh)rmagfabc/3a9 .u h 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 atmgh9)/a ubab l.a*-fc5lja 3 r the same time

  Two wave pulses pass each other on a string. The one traveling h+6d.h p j,)- vsr75;tbk6gjej etzzt 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 r t,esjp+tkg 76z hzj-hdrvt6j;) . 5beegion of space at the same time

  Resonance in a system, such as a string fixed at both ends, oc,0aix mvz+*juhx b8 )acurs when

  If one doubles the tension in a violin string, the fundamental frequency8zu;2rrio4n: i0g pej of that string will increase by a facz up:2gr;ioi 8e4jrn0 tor of

  What is the spring constant ofzdqa(kup z+ 9-hnki0v zl 2.7j a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended v0za.zl2qjn+d k (hp-i9 7kzufrom it?

  A mass is attached toms tzyv k6dw s,mn9837 a spring 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. It takes the mass 0.50 s to go back to its equilibrium position when it i937,dsm6t vymsw 8kzns oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontalzqt47 4.e20*fdox xq gc b.rfn, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go.fz xrq4q.ft*ge o70nxbc24.d 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/m along a ho(,zav6 nsqlly ziau o02t17(vrizontal, 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 i2 zl(tzo,sn0( qala u16yi7 vvts equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillationsbvs bm1i /0zdbo/8)es in 5.0 s. What is the periodbo )m/08iz /evss1db b?

  A mass vibrates back ;gdb 9or gd+,i2l l8lhand 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 kinetic energy of thisg ilbh9org;2 +d dl,8l 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 horib5q tf6 yey 0fue(oe/,zontal, frictionless surface. fye0f(e5 yt q u,6be/o 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 bfgv-fu9*e e 58.0 J at this time. The mass is cut in half, and the system is a eefuf 9-v5bg*gain 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 springqy m 6yqs3:en,,tgz3x of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmoniq3 t nm6e s3:,qzgxyy,c 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 spring constant 205l c5 s/dhnub+ 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. At whah c/ud5l5bsn+t location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to 2onbb26/+saed a llt-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. What is the total aoa2e6td/+2 lbsnl b -mechanical energy of this system?

  A 2.0-kg mass is attach 6 +yyzfw9trd9w3tb1 wed to 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. What is the total mechanical energy odw61r+9yfy wwb9 z3tt f this system?

  A mass vibrates back and forth from the free end of an ideal sprinnco4wok)6 kh y4 q45hng of spring constant 20.0 N/m with an ahokk5wn4oqh) 4y4 c n6mplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is disb aobx.8u4u )wplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. Wu o.uwb4)xb8 ahat 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 spr /len me) m,+okj3t 25hb/8/mjdijx szing of spring constant 10 N/m. The object is dj +ojm5//s zx 8dme)3t 2b,k/mlijnh eisplaced 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 s3yl.; xb m.klnpring of spring constant 10 N/m. The object is displaced 3lxlk y. mnb;.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 springj,.bw,w fn cqb3jd x1ho10y7d constant 18 N/m, displaced slightl0b3yd j.o1wj7dn, fc, xqhwb1y from its equilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillate.ujp c2 p7f2xrs at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the m p72rc.ju2 fxpaximum velocity attained by the mass?

  Two masses, A and B, arntyiofv9rr3 +u8qgw3et 7*2h e attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates 8 3wy3hiou9tvq7 r2t rnefg+*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 3xfh/pd*e hyczg;1 h9 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. Calculhcfpydhg1;/e9 h3zx *ate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. I,q7bx s 6p is0p)5rcpmn equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addimpb 7r6ssp0ixp)q ,5 ctional 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 the mass str :.:rg02o l,aoys s +bvrfs;0de+ti hcetches the spring 2.0 cm downward.,s lshoce o2.t0ag:rdrys:+i b0 f +;v 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 harmonic motion obeys the following position v, h;eiss m*1qo.ax d.9lh)am bersus time equatiedx * b.lih.ss aq;m)o9ha,m 1on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follogso dk .1v0xcqhm;w0t ;p,p6vwing position versus time equationg.vx p6hvqc;t0m;s,p 0k 1wod:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple ha yrb:73n-pyl7 x)ez er7vd6kgrmonic motion obeys the following position versus time equatiore-3 knx:z7bl6y e7g ryp7)d vn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free en fq41 7mtefdedn6 x:n7d of a spring executes simple harmonic motion accordi7d7e4 efqm1f nd t:x6nng 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 wi s9wc(tv1+ee y0t12o 2lgun aeth a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is releae etly(+9 0tncv2oeu1a sw2 g1sed 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.7zg,.ncv *5uew2 oaf;ann uaw 2czm/1 (a) What are its frequency and pea 2vaom/, 5u .7nz*c1c;nzfnw2ewagu riod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its p)tv8m4h.u wj / :d aif(g.gs .w7lsbbzeriod on Earth?

  A pendulum has a period of 2.0 s on Earth. What iy-.8nm5 sgusys its length?

  The pendulum of a grandfather clock is 1.0 m long. ,xn2+3i y8ul. lsk i sl.cnw:g What is its period on the Eartyliulk nls:x2+wis.c 3,8. g nh?

  The pendulum of a grandfather clock is 1.0 m long. What is itzcc*26y i0 sew kyz,;xs period on the Moon where the acs6kc ; 2c*ex,izyy0w zceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attachede5wk tkns 7co(*v36qs 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 (*(63wk7vqec5sot skn same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass+z;4vsbzaka1/ a(f/2/v qmh, y jbrzd has initial angular displacement of 8.0e. It oscillates with a period of r1zq(+y aazmfv z,dsah;/b /j2v bk4/3.00 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 frequeni235vif*zotunxe e;/cy of the wave is 120 Hz. What is the amplitudin ti3eu/5xf*;vez 2 oe?

  Figure 11-2 is a "snapshot" of a wave at a given time. 1kdgts;o cr(3The frequency of the wave is 120 Hz. tsok(;c rd 13gWhat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The3yiv aavr )2c+ frequency of the wave is 1cy a3va+)r 2iv20 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 ms7( qy0s5c82edektna h8 zhy7h?

  What is the period of a wave with a frequency of 1500 (sc,c/3ukqi wfp( 1fy Hz?

  What is the wave spe uq vs,u98mib n0zr/m)ed if a wave has a frequency of 12 Hz and a wavelength of 3.0q r 9n8su/v,) imbzum0 m?

  What is the velocity of a wave that has a wavelengthizr4isu ,ykok 0 ko5)* of 3.0 m and a frequency of 12 Hz?0,kioi)4uryz kk 5o*s

  What is the frequency of a 2.5 m wave traveling:p ok6dv mb)k0qha -n. at 1400 m/s?

  A piano string of linear mass den;5bwt -1p 7,:7paxni 0psboow mdlo,msity 0.0050 kg/m is under a tension of 1350 N. What is the waveo,ab-op0wmlsp75w inx;t d,bm po17 : speed?

  A string of linear density 6.0 g/m ic7( vmc- d3 hc1.lxzkms under a tension of 180 N. What is the velocity of propagation of transverse waves along the string? zcm-c lhc(1k7 m3dxv.

A wave whose wavelength is 0.500 m is tra msyme 0,t cgqvulho f +l.8sv/27,wk+veling down a 500 m long wire whose total ma0, cwovmglsyq8+em,f l.s+2h k7/vutss 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 long string fixed ak5o mb/r(m1 mjt both ends is 200 m/s. Which one of the following is not a resonant frequency ofbrjo5mm/1k(m this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the folq8**+p1d(12gvtqy ly cv bjpdlo+pb8yyc*(vj1lqqtd1 dp v g2* wing frequencies can set the string into resonant vibration?

  A stretched string is observed t iwzpex c9l7*8, in0rso have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave i0sp8 9w, rlcnxi* ez7with five equal segments?

  A string, fixed at both e)fljh1ja . m1vhs;,o*m2rcx)-k oulz nds, vibrates 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 conta)-m.ula fmszv;k*rxoj,cjh211 o ) lhin 4 loops?

  A string of linear density 1.5 g/m is undgok9hj uwyt jdu(z f1m,.61i:er a tension of 20 N. What should its length be if its fundamental retjmj1hu g dywf9z6.ui k,o1(:sonance frequency is 220 Hz?

  Find the first three harmonics of a string ofk,ox +sa/d9-p w34 m nrwiy 4oj4+bgyf linear mass density 2.00 g/m and length 0.600 m when it 9 on4ybfwrj/x344+mk g+- spawd, yoiis subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. pq8gso6t..c gpwop*, When the string vibrates at a frequency of 85 Hz,sg*p wqg. .ctoop 8p6, 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.