The time for one cycle of a periodic process is cal:s70/s fy oryg(e3.yi qn-nuvled the

  For a periodic process, the number of cycles per unit time is calls,;gv0/,w /dvpjcc qbed the

  For vibrational motiokn jo,tkx2 l)0n, the maximum displacement from the equilibrium point is callej)lt0,kno k2x d the

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemec(c e u *8m;b0- ok5wyg2w+em(di tjxgnt frmyix;(m twj0 gbeu5e(d+-okw*2 gc 8com equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through t;vszk x.j 3.gzhe equilibrium position, its instan 3ksz x;zg.j.vtaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displasy g2ur q+jh-,cement from equilibrium, its ins2, h -rugqys+jtantaneous acceleration

  A mass is attached to a veoto3+4t;;mv t(p1ia sa w )wfertical spring and bobs up and down between points A and B. Where is the mass locam(;fo +3spi ;awo)twte14tv ated when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between po1fi*t y py j -fr+tn..1vyod-uints A and B. Whererpi y.tv1jt1 *u.-d-f nfo+yy is the mass located when its kinetic energy is a maximum?

  A mass is attached t5l7:vz5mv k gf(x9era o a vertical spring and bobs up and down between points A and B. Where is the mass lo ekgv9z fm5xl r(7av:5cated when its potential energy is a minimum?

  A mass is attached to a vertical spring and bzqmdm8qp f5n vh(1) +)lpvbe)obs up and down between points A and B. Where is the mass located when its potential energy is a maximum?qnp(dqmz 81))ebp) vfl+vm h5

  Doubling only the amplitude of a vibrating mass-and-spring syza lxzbq3y1n8x 50)od stem produces what effect on the system'xa30ox)q zzb y5nl81ds mechanical energy?

  Doubling only the mass of a vib/yn m2s. fdre5rating mass-and-spring system produces what effect on the system's mechanicanfyd.m 25/ser l energy?

  Doubling only the spring constant of a vibrating mass-and-spring systeqm:h2,lwa v 6ujxbc82gi ,gu *m produces what effect on the system's mechanvabm,q g*ux h6 2:u8i2l,jgc wical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon-a+lc3 2*wtecm:zwty . Where is the period wyc2tctz-ae: l*3 +mw the greatest?

  Increasing the spring constant k of a mass-and-spring sy5y,ekszy+.nutazur8 0s,w s2 stem causes what kind of change in the resonant frequency of the system? (Assume no change in the syst2y,8snu0s ye 5s,t kz.arz wu+em's mass m.)

  Increasing the mass M o7s7+ddan2*bd ryt4j.wnky/ of a mass-and-spring system causes what kind of change in b4 +*ody / dn2t7ykw7rnas. djthe resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-sp vt.h-.iziv q) ;dgxi5ring system causes what kind of change in t vxg). .5ithd -;iizvqhe resonant 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 attachedca-4s-ldtm,ac;c04 mj x7 y ho to a weightless string of length L. For this syst; -m,4j lcy7ma o4x accs-ht0dem, when undergoing small oscillations

  When the mass of a simple pendulum is triplcdt(( y / ntl1skx kzy;htp)3cyx.:6r ed, the time required for one complete vibrakdns/cptyt3x ;: ch(. l1y(y xk 6tz)rtion

  Both pendulum A and B are 3.0 m long. The period of A is Tq2 c/ yu6ch.qs. Pendulum A is twice as heavy as pendulum B. What is the q 2uccy/.h6sqperiod of B?

  When the length of a simple f:p1qa 6/obz*slrh8v pendulum is tripled, the time for one complete vibration increases b8lb: p v z1aq*/fo6rhsy a factor of

  What happens to a simple ph dt lou-,oo :vlg9axti 3,r(:ak3 0xgendulum's frequency if both its length and mass are incr-k,g x: 3gt0t3rl :9uoo(vhaxdaoi,l eased?

  Simple pendulum A swings back and forth at tu*xb/ morc8 n/33c t jz;oe,xqwice the frequency of simple pendulu uzrxxjn3o b,;o8 q/m* /3cetcm B. Which statement is correct?

  If you take a given pendulum to the M;omoco7* fqe,oon, where the acceleration of gravity is less than on Earth, the resonant frequency of the peooe,q ;co7f*m ndulum will

  Curve A in Fig. 11-1 rd:ajl j06neip ,m (1 )ty aivxui)e ley4c3),eepresents

  Curve B in Fig. 11-1 represents 5lj/an2eal k.

  Curve C in Fig. 11-1 repran/c15ka7jzx n0,wsk f5c- d xesents

  For a forced vibration, the amplitude of vibration is found to dev,4yk evww p)bo9e.6zpend on the

  In a wave, the maximum displacement of poj lq: d;pv9x k(2zc/npints of the wave from equilibrium is callpl;q k (zj2p:vxdcn/9ed the wave's

  The distance between successive crests on a wave is called the wavd0o ;urw1 iqy j4+bra:3,ylf;ww : )fsnz, edwe's

  The number of crests of +c,lg vboh g1qeou8-8 a wave passing a point per unit time is called the wave'sluh-q8, g8g+c1o oebv

  For a wave, the frequency times the wavelength is tl 4 dc5csec-t s06fmg+he wave's

  The frequency of a wwxt6j /xx 3r6bave increases. What happens to the distance between successive crests if the spee6t/ xjb xrx36wd remains constant?

  A wave moves on a string with wavelength l and frequency f. A second w5po9h/znnlj5 r;y 1fyave on the same string has wavelength 2l and travels with the same velocity. What is theyf;r p55/1no z l9nyhj frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and vlv1ibcx +y 3jc7e.8shaz9,v tension T. A standing wave is set up. Which of the following is ts1 abi78zxv,c.vc 9lev+3 yhj rue?

  A string of mass m and lengthn0wyic22 mtv*-v n mk,pk8mo2 L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in vmn ,cwy2t vmip nom208k2* -kthe 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 speeuh8fnqd( pil*xr-7d i3wq*:q d of a wave in the string is v. What will be the speed of a wave in therfqi wqx (h:q-78*dd3p il*un string if the length is increased to 2L, with no change in mass?

  A string of mass m and lenl03jka4 4i thj(a*ssl 8m1qlygth 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 st0ha44l 1ymjs jl3il(sq ta8* kring if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travelj-a/ky/2p c(:cv:4s5f* nculw isa xws through the Earth, the relative motion between the S wave and the pac 2pc*:ss//jw-cinaayxuv4(f w5:klrticles is

  In seismology, the P wave is a longitudinal wave. As a P wavvzir5p)e1ga* )3wudfe travels through the Earth, the relative motion between apv*zu)f)15i gwrde 3the P wave and the particles is

  The intensity of a wave i6jr m cl;6o+kds

  A wave pulse traveling to the right along a thin cord reaches a(tj br 9 vufg+hra-0t2 discontinuity where the rope becomes thicker and heaviru jrf+0 2(ht9v-t agber. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass eacd blm6owt2.h:gkjn8 )n h3j3 th other on a string, one is traveling toward the k8n2lon3:3tdm )6wg . hjbjhtright and the other toward 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 traveling to ;gqzbmle* 6i )v6cwhf st0,q;ward the right has a positive amplitude, while the one traveling toward the left has an equal ampli6*;q;sl6gve qzbm tc, hiwf) 0tude 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 strin-as.n 3xc na28g4sx 4g3msx ontk66h zg fixed at both ends, occurs when

  If one doubles the tension in a violinh9jo r(pnpof 457e; xw string, the fundamental frequency of that string will increase by a factor ofjo4hwoprpne( 7xf 5;9

  What is the spring constant ofs3.a qs o4bpdku2a0t9 a spring that stretches 2.00 cm when a mass of 0.600 kg is s0to q4s9b2k.3uaas pduspended from it?

  A mass is attached to a spring of spring constant 60 N/m a1;unnf0 h9kmp long 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 m;uf9n nh0kp1 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 constant 60 N/m along a horizoih2i-qm zn51*v am-pqe/.an pntal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. ma.p* -na i h2e51z-q qvni/mp 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 spriipg)oj71 c.oyng 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 iy 1g opi)ojc.7t is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 compj,do0r.dtrrl w b-h x q;)-3e6/pxzkplete oscillations in 5.0 s. What is the period;)0 hrt rxrpo kde.d zx6bwl-p-q/3j,?

  A mass vibrates back and forth from the free end of( e8)iflx-d c8fe,xz 7lfn9gk,c 4xmo an ideal spring of spring constxxf8m x keef)d98 i-ncf47c o,,glz(lant 20 N/m with an amplitude of 0.30 m. 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 to a spring of spring con) 6xt;5xk/zk )hplir nstant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 xztikrk6);xhn)5 pl / 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 tik +t :seg)xq2gme. The mass is cut in half, and the system is again set in motion with ampli: x+g2g)sqe kttude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached 8 ):tqt n9yehsgle6.q to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The obey6tq 9ng.lsq8e t:h) ject 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 of spring co88jji1y:do 7fxt7 cko nstant 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. At what location are the kin8i8fook:x1j 77 cyj tdetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring consta3/ i .g*w4avhet(xco znt 50 N/m and set into simple harmonic motion with an am4*/vezghi(3. wt c aoxplitude of 0.10 m. 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 ff:e 86d) jawf he8,vbconstant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical enef heewv )j8ba8f6,f:drgy of this system?

  A mass vibrates back and forth from the fl/b;v1r xqklzaf7hb, op0 x/)ree end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What hb k)/vrb7; qlafo1 lp0z/, xxis the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its eyp iqj+3 bq1xqi .b 3s8bjr98vquilibrium position and released. 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?v8ribq1qp3i+q 98bj .ysbjx3

  A 4.0-kg object is attached to a spring of sprt;4v z3/ks4,uzv hyw eing constant 10 N/m. The object is displace;zv3 k h zw4t,v/ueys4d by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is a,ub6 qj y8oi)tttached to a spring of spring constant 10 N/m. The object is displaced bj8o b)yq uti6,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 spring constant 18 N/m, dip,i-k4h/(k aqyqi rz 1splaced slightly from its equilibrium4zq qa ii/,1y-pk( hkr position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequencyv*wkyc 9zt7 eqf;)lf , of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximu,zlyk 7fv)* tw;f q9cem velocity attained by the mass?

  Two masses, A and B, are atr-0 oy6ypo+citached 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 maximum speed of A compare to the max6oo+0r i -cypyimum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchesm ;jye-nx:q7i the spring 2.0 cm down yx;:iq mej-7nward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended oudcg8+e :g 4py)v5vdnn a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is ugn4 p):d85 ecydgv+vthen 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 suspended on a spring. mngb 0w cyp)6fe5b96gIn 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 r g0fn 6e95by)bc6g wmpest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position6*xs4 t cjizz3 versus time equ4ctz x3s z*6ijation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obd/,2 em ib:k8ys ctht7eys the following position versus time equa,e8h stdk/cmyi:2b7 ttion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus ti1w y-n 3*oqhqn8 px+pzme equ yq3pp *8xqnoz- n+w1hation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the auwm1a+a lk7vum-46a free end of a spring executes simple harmonic motion according to the equaal41maw6v 7- a ma+kuution $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attachh7suy-. kj ;used to spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mas-7 h.y;kjuss us 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. bhrn hf79w;4k(a) What are its frequency and period on 9;7n rfh4bwkh Earth?

  A 3.00-kg pendulum is 28.84 9m lr0xtv5 )- );o6cayjzivj+b bcst( m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its le,ha 3wi q 4+or+kzhj-lf;drz8 ngth?

  The pendulum of a grandfather clock is 1.0 m long.2 f9-9)b id qtxru27kusu oyx9 What is its period on the Earth?f- ru 2)u99 kys9o2bxx7q utdi

  The pendulum of a grandfather clock is 1.0 m long. What is its period i cjs6kzye; 62mim8v0on the Moon where the acceleration due to gravity isjyimczv 6082 mek6i; s only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25 za l-qk0,0 6d+dlklzl-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 0.50-kg mass (same diameter spherelll k+a, 0z0k6l-q dzd) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angulaw1x ;bcgw h47hr displacement of 8.0e. It oscillates with a period of 3.00 s.wh ;w gb1xc47h
(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 a5mski*dbu+o t1d5tr ym5- mb* given time. The frequency of the wave b+y um 5k*rit t* -d5sbdo15mmis 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequ/rsel0(qp 5mp,r+ jatency of the wave is 120 Hz. What is tpj(50 rmtq+ rpa/les,he wavelength?

  Figure 11-2 is a "snapshot" of a wave at a g0m,h d2 sh16b5ma d.um8sqxptiven time. The frequency of the wave is 120 Hz. What is the wave speed?smqab5, td 0uxd1h8 s6m hpm2.

  What is the frequency of a wave which has a p vmjo 7khttbz.(dxc4e*(k 5e4eriod of 6.00 ms?

  What is the period of a wave with a frequency of 1500 H -9*7wsbvqr qbw0p,g.wwb2 ghz?

  What is the wave speed if a w6q/qp 7a5jaqlvzx 7 -kave has a frequency of 12 Hz and a wavelength of 3.0 vk7p6a75z-qqq l j/xam?

  What is the velocity of a wave that has a waverfz5f94 5wmzylength of 3.0 m and a frequency of 12 H4y fwf9r55 zmzz?

  What is the frequency of a 2.5 m wave traveling at 1fwo 8ca4t;f ff4bf/., c wmge(400 m/s?

  A piano string of linear mass density k m;zq*8e0 kr kjz;y*6 )zupyv0.0050 kg/m is under a tension of 1350 N. kpzuk;**mqe)6 8vyz krz ;0jy What is the wave speed?

  A string of linear density 6.0 g/m is under ad.fk6:* le)mw x :a wyf*4qgwf tension of 180 N. What is the velocity of propagation of transverse waves:x 6m.:w*f*kyqldf4a ) fwewg along the string?

A wave whose wavelength is 0.500 m is traveling dowc+ +risj 9uwgfvc ),twn m6a4bb e),9dn a 500 m long wire whose total6uv dsb9)arw4 +cjwt)b, ,+n9 figcem 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 transverse wave on a 2.0j7dv s)5yp3l n-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this strisnd3y 5)7jl pvng?

  If a guitar string has a fu1 np8) zbq 6kxhcg7o.hndamental frequency of 500 Hz, which one of the following frequencies can set the string in x7zqob)hn gh.81kcp 6to resonant vibration?

  A stretched string is observed to have four equal s5 wl *izkq 27j8eyl vi0blx-yww-.j5l egments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?w25w.y jl*i7vl -xqe5j z 08lyklwb- i

  A string, fixed at both ends, vi8pk)a-6 v 3w,qcc u5k h;nevrfbrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pa ,ue-6k8vrk n3qa)5w;cpvhcf ttern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension mldph4 bl h8 e0l/1z7cof 20 N. What should its length be if its fundamental resona c4b1eh /z8m0 lp7dlhlnce frequency is 220 Hz?

  Find the first three har/ m(;w6 zkx6ihiqn:a)x:zp h/3m plcmmonics of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension o hmn 3axqk):ix(pwc/ ;mp6:zz6l/h mif 50.0 N.

A string of length 2.5 m is fixed at both ends. Wtrg/*) h wsobpeg3 *m9hen the string vibrates at a frequency of 8/rw gtpobm*h3eg) s*9 5 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.