The time for one cycle of a periodicyhqr( v h1f-7h process is called the

  For a periodic process, the number of cycles per unitz8pdd:n+ qlq ,ni6z *oo 9pwb8 time is called the

  For vibrational motion, the maximum displac)g9jgg*h7guhcvi;*jcc 9 m p -ement from the equilibrium point is called thevj-ghj;*mgih c) p9c 7u9*ggc

  A mass on a spring undergoes SHM. When the mass is at its maximum disp tqb zt:c2w o)u358jbslacement from equilibrium, its instanqbo 83 5wzc:tt j)sb2utaneous velocity

  A mass on a spring undergoes SHM. When the mass passe4fg ./f8q z8foelduf1s through the equilibrium positio f lf8 ./8f1u4zedfqgon, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum dispy )kjfx7 qpz0h+ai- eb(jxf7 2:etgz)lacement from equilibrium, its instantaneous acceaqh7)e yj bf(ti)p kejx27+zfg: 0x -zleration

  A mass is attached to a vertical spring and bobs up and down between point ,3fnfb 7/urams A and B. Where is the mass ,buraf7 3fnm/ located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bob7kv6 .xwfm 0fo ta x(lz:zc0 ja/tz3:bs up and down between points A and B. Where is the w:(t j:z3okxm ffzx/a z 7c.vb t0a6l0mass located when its kinetic energy is a maximum?

  A mass is attached th1d42j q2 unlro a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimumnq djrhu 224l1?

  A mass is attached to a verti7ap ew:kp3jnw +wuh )o5dv*w j0e 71dfcal spring and bobs up and down between points A and B. Where is the dwfeu1o0wav+)k3j pwn77 p jh*:wde5 mass located when its potential energy is a maximum?

  Doubling only the ampli- yuxc /b(gr8itude of a vibrating mass-and-spring system produces what effect on the sysy/ rgucx b-i(8tem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring sysubcads0 7;gr+ dq;q) rz3 ani:, p/lbwtem produces what effect on the system's mechanicacl )zg7:sid brd+;p a/0;nb uqr3q ,wal energy?

  Doubling only the spr nmt7 ve1i8tg:ing constant of a vibrating mass-and-spring system produces what effect on the system's mechan:i gv 1tt8me7nical energy?

  A mass oscillates on the end of a spring, both on Earth 9c iyqi7d4+sn.8wj eland on the Moon. Where is the period4 .n ec9yid7 lsijw8+q the greatest?

  Increasing the spring constan gg xj . xd2wj(ae4zrpo9i),p1ue1vd 3t k of a mass-and-spring system causes what kind of change in the resonant freqd,jjw)p 1 gz i p2a93ru4xeo1deg.x(vuency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind o8 ymlk/ efc+kom)i )8kf change in th)f+8ok )8kemc ylmik/e resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind by e/)xj-e1*wnkvr- s of change in the resonant frequency of the system? (Assume no other changes in the syste) jkx-- vbsnw/1*y erem.)

  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 xr guv x8l(s6a07c1rs a mass M attached to a weightless string of length L. For this system, when undergoivx6u1g7sa(sr0 l8 xcr ng small oscillations

  When the mass of a simple pendulum ib -dgpnak 2b. w)*p4dwz)rn y3s tripled, the time required for one complete vibwr-wy 4*db3)nnbdpzg.pka 2) ration

  Both pendulum A and B are 3.0 m long. The period of df/5agm-lt.f6 m:goz A is T. Pendulum A is twice as heavy as pendua fg.: zg/dt5lf6 -mmolum B. What is the period of B?

  When the length of a simple pendulum is tripled, th( 9qeil),rj aopar.0j e time for one complete vibration increasparl)eo , q. 9ajij0(res by a factor of

  What happens to a simplevmsgg:tbfum v6bm d5:r 5+t7 5 pendulum's frequency if both its length and mass are incread7 t :bbmvtfg5 +6v5gusrm m5:sed?

  Simple pendulum A swings back and forth at twice the frequency of simple pend*hq*t de4p gch8:di1yulum B. Which statement is correct?qhiptche 1dd*4: *y8 g

  If you take a given pendulum to the Moon, where the accelerat bi m7wen41n1wmk i.s,ion of gravity is less than on Earth, the resonantb11 4,nmsikewmwin 7. frequency of the pendulum will

  Curve A in Fig. 11-1 repre:xe *-tb(l;. k f iqocewex)ws1w(-jn sents

  Curve B in Fig. 11-1 repres oilaxiu5ykxj*c5*6/biqj3j :u r) 8h ents

  Curve C in Fig. 11-1 reprg 5*1;z/ ay oc pblys*ytzw+l1esents

  For a forced vibration, the amplitude of vibratigwe9.3e)z /rlynj z 9.hj sd)zon is found to depend on the

  In a wave, the maximum displacement of points of the wave from equiliufu /b -3-nb1 bkopr6+ucg 4xjbrium is calb+xcujk 3/ ob uu--16fn rpgb4led the wave's

  The distance between syi*uxnp:- q+el uf* n,;) pdjl qxt55kze- 0puuccessive crests on a wave is called the wave's

  The number of crests of a wave passing*yq3r/- j0s e pfzllr7 a point per unit time is called the wave'syj qe /s0-f37pr zr*ll

  For a wave, the frequency times the wavelength g x urue*vpfz2( k6inrp */hft8+,k9p is the wave's

  The frequency of a wave increases. What happens tou*b a9 xom8;he0fuu) g the distance between successive crests if the9 uubx oa0*)8gf mu;eh speed remains constant?

  A wave moves on a string with wavelength l aho y:)lv9ar.dcvt 8ml8j3kh+ nd frequency f. A second wave on the same string has wavelength 2l and travels with the r9jl3+ctv hda8ko8l: h). v ymsame velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tensi+eaghfz) w4 kx ;co*ggp5t;f9 on T. A standing wave is set up. Which of the following is truk+gt5 *94 xz;ghcwao f fpe;g)e?

  A string of mass m and length L is under tension T. Themu l5kire -md661 h1l nt1q7wp speed of a wave in the string is v. Wh1urql 6 -ltmpen1mh1 67 wk5diat 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 k8ms p:tk(e8wof a wave in the string is v. What will be the speed of a w ep8k:tkwms(8 ave 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 Tes;n m *1umy8v5ldch 2a8 r-tk. The speed of a wave in the string is v. What ;yt1s 2ul*-d8 m ecmra5v8kh nwill 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 thgxb ,i0m6s:yzp3- s sravels through the Earth, the relative motion betxp6hb0yzs-, si:g ms3 ween the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travel0 iwiuzjf3, kvy8 w+/as through the Earth, the relative motion between t/jfii+8zwa0u,k w 3y vhe P wave and the particles is

  The intensity of a wave isblik2usd: 45p

  A wave pulse traveling to the right along a thin cord reaches a disconrt l fx;(ug+zi0s8)vntinuity where the rope becomes thicker and hea8un0s(z)ft+ rlv g;ixvier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on0zcs) )bs1 ic8v3 aoan a string, one is traveling toward the right and the other toward the left.coa)) 301bsncv i s8za 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 jt4yu qtf /.x,yfacyf*iy+( *one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction a/ff u4jtyt*yy.,qx*f(i c y+. 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 fcl2h zw94h dl8(vne1when

  If one doubles the tension in a violin strxcgg 8o+bx-;3zyd vy4 ing, the fundamental frequency of that string yggyxvdc;-4bx+z38 owill increase by a factor of

  What is the spring cri5c,ivij g- 7. y:va)fy) vxdonstant of a spring that stretches 2.00 cm when a mass of 0.600 :5d y)vvi fv -7cyra.xi,)jig kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a 1p; cru 6d-qchhorizontal, 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 oscillating. What is the amplitudecup d;qr-hc16 ?

  A mass is attached to a9gt8nlrpidp uv2 2/98baenj-n ai z1 . 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. I2nvprt- nbu9i12z8la/ag pe.9j in8d t 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 c 6x 9fyvj2u 1-jrd/)qg asifo/onstant 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 is oscillating. ruj g d6q92f soaxj/f-/v1)iyWhat is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete os(a9,)-w vjay cgndt7gi6y *jccillations in 5.,)aa j6i t*7j9(y gywvg ndcc-0 s. What is the period?

  A mass vibrates back and forth from the hv ttc: grd99*g j;xv0free 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 vibrating mass when it is 0.30 m from its eqd 90xchgt9trv*v :;gjuilibrium position?

  A 0.50-kg mass is attached to a spr q.ypkdb64ven qt34 a5ing of spring constant 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. What is the total energy of the qkv4dp6a.35 bneqy t4 system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at this time. y0;gdj,*) nfo( jdvevqmd;w7 The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the energy offjg )jn,o;y*w ve;d dd 0(7mqv the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m alon-m8uwkt*q ,hv g a horizontal, frictionless surface. The object oscillates,*uhqmv wkt8- 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 constant 20 N/ronsgr. q9pn4b f7(8t m along a horizontal, frictionless surface. The object oscillatt q84n grpo.b nf7r9(ses 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 hori6:y sl/yg3uv *5owirdzontal 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 ener*3w/gyv d :r uys56iolgy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of spring constapleej-e )t l--z52f z )sq)fq.p5 mmohnt 50 N/m and set inth-l eztz lp q5oee)fms-.)mf 5jqp)2-o 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 uqu1x v4tc4691kjgyw1 k, og r5zgcs 7the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What isxs5zg qg w1tugy49k 7c 6c4,ku1ro1jv the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-sprin,c9ec4 n o1tu; uv2hshg system is displaced 10 cm from its equilibrium positiont cuh1onvsc9h, 2 ;eu4 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?

  A 4.0-kg object is attache+bn2v6/(xz,jvrut u wel 1b3sd to a spring of spring constant 10 N/m. The object is di +wx2b(nrz6v1eublju v,/3s t splaced 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 3m2wcauqx; b.constant 10 N/m. The object iscb 2.;am3 uqwx displaced 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 spr0 -xaiy-s -zu,w .vrxzbs27gzf8ah2e ing constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its v .ys 2eb7ixa- -2 fgr v0uszzhzaw,8-xibration?

  A mass is attached to a spring. It oscillates at a fbocy y g88-st( /.d8 1vhvsskzrequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum vesbd/8c-1gtvh8 8zy(sv. yos klocity attained by the mass?

  Two masses, A and B, are attached to differentsr+b 4wonjkjiu9;a +j p82d ;a 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 1s;a pjk;4da+wo+9 b2j 8nrjiu6 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 equw2fwanww95gs -ma +kr 7z9c2iilibrium the mass stretches the spring 2.0 cm5f+-m29zawr ikww2 a7gn scw9 downward. 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 suspen f8v m/7yefqnoy- ijk25r5s;eded on a spring. In equilibrium the mass stretches the spring 2r2-yv78jn5 qf ; koe/e5isf ym.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 system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass strl :i-gfxnv i09etches 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 equatii-i fg x:l9nv0on of motion.

  An object in simple harmonic motion obeys the following position versus time ey3dm9,9b3c jib jc hb44y )g-j jvor8iqua)3 yb-d 4ybj ri8bjmj4 c 93jg9cih,votion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time equhb m znm/i/f;,tnf7bfkf1rvv)t73 d6atmffv6drn f1t;b7m, 7h/3nfvk i)b/ tz ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys thevcpqhv i8w ) 9)3w* azkz0)zhn following position versus time equati)z*980chvi)wpq n z)hv 3z wkaon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring expab01 vcip sa+4v*qs)f4s6 euecutes simple harmonic motion according to thea0bcp6 fs1a+vuq*4se siv 4p ) 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 o ;9n tq .s18uele8pmv :;,npaw ruc9vcf 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 is, the spring is stretched by 10.00 cm;1nt8 u 9vpwr.;a9 s,euve c npq8l: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) Whatqfl ;q.4 3mq1ypd 1nno are its frequency and period on Earqmp.q qy lfn4o1dn13;th?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Eas:2ghfmfvito/h e(;0 o39zsb rth?

  A pendulum has a period of 2.0 sakenzx3).o96 4lbe aa on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long.9y5c 7x8vb/e (hb 3oy awgh1p+co.dxb What is its period on the Ea7o g .cpoxe+yv d3b ywb5a/h8hb(x9 1crth?

  The pendulum of a grandfather clockx c)j4 dee*l8x is 1.0 m long. What is its period on the Moon where the accelerat*x8xjd )el4ce ion due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass a e)b6m5a 9m) coy: h)cx-tzbltttached to a massless string. When the mass is displaced 5a cm6)ycxe)-hl ):mtzot9bb 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 sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacementdhyr)b2s y4(k of 8.0e. It osc2 hb)yyd4skr( illates 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 s(1b/w ge uco*- 6z6mxwpbv hq9m58y gfrequency of the wave is 120 Hz. What is the amplitudmz69 8qhcb51wgb-m*u /(px gow6ysev e?

  Figure 11-2 is a "snapshot" of a wave at a g l( p/x)uxmf:i2i17:wye fdtoiven time. The frequency of the wave is 120 1w)(tlf2 i/ uxm:eyp7of:x diHz. What is the wavelength?

  Figure 11-2 is a "snapshotaxhgi (oj :6s4hrz(,l1d fe 6h" of a wave at a given time. The frequency of the wave is 120 Hz. What is xg,4 : oezh ad6f(s( hji1h6rlthe wave speed?

  What is the frequency of a wave which has a period of 6.00 ms-mp3hpdgz c (n -c3sorpy-+ f,?

  What is the period of a wave with a frequencyw16 t5kgx ff)-;7to jf qd8ptz of 1500 Hz?

  What is the wave speed zbl9r .w3 o .f*deyh7uif a wave has a frequency of 12 Hz and a wavelength of 3.0 mblor ez7h yd.f3w .u*9?

  What is the velocity of a wave that has a wavelength of 3.0 m angogkqo40- f s u-jen/s8*4udnac) 1add a frequency of 1*- ung dnj4odcse-u1gk af/sa8)q04o2 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400lho6kbny5 *ftb d(9hc 43cbs1 m/s?

  A piano string of linear mass density 0.0050 kg/m is under aj1;. 9moobkpws 9bkv/ tension of 1350 N. What is the wave spee;ksp19oj/9 ok.mbw bv d?

  A string of linear density 6.0 g/m85b ;xu t,/) mikkaitb+h1ulq is under a tension of 180 N. What is the velocity of propagation of trku 1 m58x/h; )+libtk,itqb auansverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500s8z tsn/ltws 13tde/qlw9-.e ,7ahur m long wire whose total l - 8zt.l3 uaqhdrt 1sens7/, /9weswtmass 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 o*)cvsosk7 e :tn a 2.0-m long string fixed at both ends is 200 m/s. Which one of the)*sts7e c:kvo following is not a resonant frequency of this string?

  If a guitar string has a 3 bfscj5) ey6x ix0-yqfundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibrationys3c yif05-e)jx 6 xqb?

  A stretched string is observed to have four equal segments in a standi we4w)kd1;te cng wave driven at a frequency of 480 Hz. What driving frequency will set u cd )kewt4;w1ep a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a fre ,-1f)mpr+xet2 taw)y8p kxljquency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to con ja)1-k8x+ tlptr ep,xw)f2mytain 4 loops?

  A string of linear density 1.5 g/m is unpwzus(x0t5/ x 8clhw:w ,)l:cm)mg yider a tension of 20 N. What should its length be if its fundamental resonlm8w( ,yxhpzw5x:/l )cut: mw)gci0 sance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m x;vh+k*nd;ak and lengtv+a*dkxh n;k;h 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the striny j4ub1vp*o) ebx4oy)bnsn+ 5g vibrates at a frequency of)xn *bbj yb4oo)e 1y5v4n+sp u 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.