The time for one cycle of a periodic process is called qhzzjv 6u+u( -4wkyp0the

  For a periodic procev l3ke;v4b : 5gd3icidss, the number of cycles per unit time is called the

  For vibrational motion, the max,/jumg x 9a8a + hphl8ly-d:ee u1nmp.imum displacement from the equilibrium point is calu+h1p9/malya8je: h .gelxd mp-n,u 8 led the

  A mass on a spring undergoes SHM. When the mass is at its maximum djchft;s:zb q/tjv 0*r.je42xkw6 mn- isplacement from equilibriumxw0k* :m;etjcsnj/j 6zr -qbtfv.4h2 , its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibriurj) k+ uk;w)sgm position, its instantanj u;gkk)wr+ )seous velocity

  A mass on a spring undergoes SHM. When t3rx+dao-goz 7 p9y:a ghe mass is at maximum displacement from equilibrium, ito 93agaxro dgy-:z7+ps instantaneous acceleration

  A mass is attached to a vertical spring and bobs y shewyh.1 )k2up and down between points A and B. Where is the mass located when its kinetic enerskw.2 1)hey yhgy is a minimum?

  A mass is attached to a vertical sprinq2nmu/78xlm u g and bobs up and down between points A and B. Where is theum/ u x2qnm8l7 mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between4h/ o( yz m9iohgba(7k points A and B. Where is the mass located when its potential ene k(o94zag oy/7mbhh(i rgy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A 2:fyl4 uay1, co4 iuwoand B. Where is the massiawylcy1u:of ,42o 4u located when its potential energy is a maximum?

  Doubling only the amplitude of adj +k9s6ybokg9 hx4;s vibrating mass-and-spring system produces what effect on the system's mechanical enh+ ssg9yk;kjd 4oxb69 ergy?

  Doubling only the mass of a vibrating mass-and3/e2 ls9yn * be/ wvzy*wjyam8-spring system produces what effect on the system's mechanical en9 ywnl*8z*/bwemey sy 3va2j/ergy?

  Doubling only the spring constant ; d:tmie5bji-(ev-se of a vibrating mass-and-spring system produces wha5evteem -:( sb ii-d;jt effect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth qr0z2 xn3q kmx(wjeg/ ,qt9u/ and on the Moon. Where is the period the greatestxq,/t/ j kxgzr90 e(qq32unw m?

  Increasing the spring constant k of a mass-and-spring system ca4 sis4r:0m-0tzg fhz f54uhl 8,ktluj uses what kind of change in the resonant frequency of the : ,0sg0ilz4hsu hfjm4zf -5r4tuk8lt system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spj 69gp wk.3rkzring system causes what kind of change in the resonantgz .pw936jkkr frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring swm. * (0ei3wwdubalk /ystem causes what kind of change in the resonant frequency of the sysw wuie*alb./03km(d wtem? (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 consistspc nfq -))iu,6u lobw1 of a mass M attached to a weightless string of length o,nc6fiwp-)u1)qlub L. For this system, when undergoing small oscillations

  When the mass of a simple pendulum ih8 7b5ar jaa+6yvk-dp(d8 pb is tripled, the time required for one complete vibrhkava 7 a5 y+bdpdp8j-bri(68 ation

  Both pendulum A and B are 3.0 m long. The per rqn;68b( lcmpiod of A is T. Pendulum A is twice as heavy as pennqc6pl;b8r m(dulum B. What is the period of B?

  When the length of a spn+/zhr tlu(bq+ o- g1imple pendulum is tripled, the time for one complete vibrationg/orpb zq+t1+(ulh-n increases by a factor of

  What happens to a simple pendulum's fr57m g(eko w9dpequency if both its length and mass are increepgw(79m odk5ased?

  Simple pendulum A swings back and forth at twice the frequency of simple 1 t:h2bt)q ye:3bz9 3h v hygz7e8qfurpendulum B. Which statement is correch) 12yq83bfh rheg u3 7qey9t: :bvztzt?

  If you take a given pendulum to the Moon, where the acceleration of gr7p :9vvajwka;ha l .t)4um-c 8bply(aavity is less than on Earth,blh4 aj pc7;:(lp9. aav)yma -wtuv8k the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 re8f vsm2 ax:h2ypresents

  Curve B in Fig. 11-1 r;tky7lk2gw +zepresents

  Curve C in Fig. 11-1 repres ivgm.p .y6t7jwf51lf ents

  For a forced vibration, the amplitude of vibration * -zg,q 2ozbm- q oplz-o3yd,bis found to depend on the

  In a wave, the maximum 8 orkywy/:be*et z2 8vdisplacement of points of the wave from equilibrium is cal*z2:eo8wyk/v r e bty8led the wave's

  The distance between successive cr0yh). eo *8qnkxj h(nrests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the w7ec r) 6w.pihwave'c6rp e)i7.h wws

  For a wave, the frequency times thee5 k18o 9doni2kscx: e wavelength is the wave's

  The frequency of a waveq3b56 r66ejrwfnam* z increases. What happens to the distance between successive crests if the m 6ebz6nr r63 qaw5j*fspeed remains constant?

  A wave moves on a string wit i5 jidnc1ulabcnd;)2 :ar) d jv:b.*hyj/gn)h wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the second wav a;:n) )/jn5g2ndjyudv* l.c b hbr1:dc)aiij e?

  Consider a traveling wave on a strin(-7 c qx,y0xdkj fie+jo1 ao)ig of length L, mass M, and tension T. A standing wave is set up. Which of the follow) (jioiydf xkaqc -,o1e+0x7jing is true?

  A string of mass m and length L is under tension T. The speed of a wave in the jir5y 3; +etxmstring is v. What 3 mt+yxrei5;jwill 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 of a waves9yj *:; mhysu in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no ch9s y*:sm;u yhjange in mass?

  A string of mass m and length L is under t+ dcr/qd pe;, jtk)tq:ension T. The speed of a wave in the string is v. What will be the speed of a wave in the:req;tc,k pd) /j+ qdt string if the tension is increased to 2T?

  In seismology, the S wave is a transverse was,4bhhlpe 5,ftx -da0 ve. As an S wave travels through the Earth, the relative motion between the S wave and the parat,sl 0 e54h-bhd,fp xticles is

  In seismology, the P wave vmyzrrc 8.i1 v5:e4oj is a longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wave and thi v8cr4ez.jorm51:v ye particles is

  The intensity of a wave isrq1 +0bhcak9nn. 8a)ji9ubwtzel l; 1

  A wave pulse traveling to the right along a thin cord reaches a dedi b2;x p2f0ueub.h3 iscontinuity where the rope becomes thicker and heavier. What i0euh.p e22 3;ubdfixbs the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal posfdem ;yh.9+1t + j6gutd,o disitive amplitudes pass each other on a string, one is traveling towddehj16if+g+yd tso.,u tm 9;ard the right 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 avw,mbt v y3 k)0/f)o)m j;ixpa 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 at the same tim0)t ,3v ;bowa) p/)jmximykf ve

  Resonance in a system, such as a string fixed at both ends, occurs whe.yon.rr .)mu vn

  If one doubles the tension in a violin a*z-utv 8/puvstring, the fundamental frequency of that string will tpvvz* /-u8auincrease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when vp a42cq8 v5oyblxg lvsrrqu8;z48* 6a mass of 0.600 kg is suspen uqa8gqbxlo vv4psrv8265y*rzc ;4 8lded from it?

  A mass is attached to a spx4,vs3rqk0 f+ 5eo cedring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force oek 3x0od r+5vf,qsc4ef 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 amplitude?

  A mass is attached to a spring of spring consroga/8q gvs69tant 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. What isgs /6qav8 9rgo the period of oscillation?

  A mass is attached to a spris 7wg9i 5cae).kzeg3 jng 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 is oscillating. What is the frequency of oscilljaw c9is)7k.g35e ge zation?

  A mass on a spring underq; 4wnvhtzl:h5ot2)pgoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the periwoztp42n5 htlq :) ;hvod?

  A mass vibrates back and forth from the free end of sz+:eel(w.z can 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 0.3ze+zs.l c w(e:0 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of s(qf *- hl9o+yyftv64z. phbplpring constant 20 N/m along a horizontal, frictionless surf *y o6qb+t.fp-9lvhzf 4(hl ypace. 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 8.0 J at 6 6s4qyfwdc5seh515wu1vhql this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is thele hh 65c5wy6qwu1vs q4s51df energy of the system now?

  A 0.50-kg mass is atta/b;h4oab- +;aixd p+w g/jc knched to 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 1.5 m/s ahbnx/ ;bd;wpk-+a +ga oi/4 cjt the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spr)(s0p6 i7bvn; p catvhwf7,d ding 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. At what location are the kinetic energy and the potential ener7bva,vfsnct p06ph;(d7) wdigy the same?

  A 2.0-kg mass is attached to the etb0 g w;p9cj.x tskrc2l 0(e;nnd 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 mechanicalp0t.;lebg0s2cjw ( r;c9x n kt energy of this system?

  A 2.0-kg mass is attached to the end of a083mh36b qoxe d jllzjeg94s, horizontal spring of spring constant 50 N/m and set into simple harmonic motion withe 69z,jlme glxjh3 840oq3s bd 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 of an ideal spring of spring co edo ery svz2d2)7bb:ne3 h/iu-jq2k*b i7e )z j32qdod v-*eh:su22e/ ybkrnnstant 20.0 N/m with an 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 frg5*jdo9 d7axs om its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been ddad5 x7g*o sj9isplaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spri4 *ay/iwp., ccrn,ryq ng of spring constant 10 N/m. The object is displrpc.,,cyayq / nr *4iwaced 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 1pm8ykbu*d5* qml -nv of spring constant 10 N/m. The object is dism8*plk5y d- unb1*m vqplaced 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 akvgaq91m /wa7a2 g0 nn spring of spring constant 18 N/m, displaced slightly from its equilibrium pogk/gva170w na 2n 9amqsition, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at -;2 speag1g49ss sn woa frequency of 1.27 Hz when displaced2w4 os-sgpn s91;sega 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 attached to different sprin4an9t/6ks ayl6dw+k8mk 5cpk gs. Mass A vibrates with amplitude of 8.0 cm at a/s8aw ak+9y l 5kpkt6c6m4nk d 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 maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibriuojyu20k0 xb m*m the mass stretches the spring 2. oxbu*jm200ky0 cm 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 sus1xqha7x. z c)upended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm d.ch)a7xuz x q1own 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 stqex-ah8sp w.z)v0n 8(zeki a;retches the spring 2.0 cm downward. The mass is then pulled an additional dnawzev8 sk;xp )8hazq (0 ei.-istance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following posit ;k nk++doznr /h;qpm /wmhd8ss.1 nv7ion versus time equ;qn k/7+dhmv/s1mnwsd pn ok+8;.rhzation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following p mlu 1(v2ds-bkosition versus time equatik v2s mbul(d1-on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following m6-qddwxu)x hs: ty9 rwb+. -kkpr (9gposition versus time equatiorxwd-rxb- .gymwu+)d 9k(6qsp k :9h tn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simp57d6n vd;n:l me1ojfe dy7n.cle harmonic motion acco1:f7l6md nodc;n.v75n eyj d erding 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 fo2+ 8ssmt3kuj krce constant of 20.0 N/m oscillates on a hor2 jkm3sk8+su tizontal, 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 it,d 7 yycr 4v5oon)sab v(/qn)bs frequency and period4d (cnaby)5,o sbvn/ q)7orvy on Earth?

  A 3.00-kg pendulum is 28.o:dbi n49;yekulu:( s84 m long. What is its period on Earth?

  A pendulum has a period of 2.0 s0bpgh( p- nd7pj,k6*olcq ugdo:q2t6 on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Eairj5q ;got v0b+ l2k*zd-aig4 r +id0bziv4r lgo5j*;q g2kta- th?

  The pendulum of a grandfather clock is 1.0 m long. What is its perar 5 oqx*jxxe80d27 womy)w:u iod on the Moon where the acceleration due to grave)wxdrom o70q *xjw8 :ax52yuity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical maszs9/sxw,nf,4t ohng41 h 8qqd s attached to a massless string. When the mass is displaced slign s sh /tw,g91,hzdnox4 q8fq4htly 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 qqqp0 r7hiy8uypz62(p om1t: of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period of 3.pz 0u op h(6y2:iqr 7qmyqp1t800 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 frequcnpj: 3ad2c+ya:j ix :ency of the wave is 123 ip j y2j+na:::cdxca0 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given suo5wcsq ee.4c4dc3 +n rsuodg;jk*,6n,0 wm time. The frequency of the wave is 120 Hz. What is the wav cq ;r6d *od05s n,u n+.m ogwwk,sj4scc4ue3eelength?

  Figure 11-2 is a "snapshot" of a wave at a given time2z 1d ruj31tb,fauo4t phck). . The frequency of the wave is 12uk4j,pudh2bo.f11 at z c)t3r0 Hz. What is the wave speed?

  What is the frequency of a wave which has a period of 6.00 0x jgxex sz;p,/u yl6*le;0dems?

  What is the period of a wave with a frequency of 15+ pm,xfqi3 5 9guy9hlb00 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and am 5;ic(t+ clx,gr oax, wavelength of 3.0xor5t( c,iaxm g +,;lc m?

  What is the velocity of a wave that has a wavelength of 3.0 m aqj6q g1: rkju0jsw((ko27x 4kw /zj zrnd a frequency of /wkr6j(g jo4wzx0kj(12 j7quq:zr ks 12 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m/sh,w(x,i 42ysw1lj ry;ii i6px?

  A piano string of linear mass densi005f p eroyga t.nlw(2ty 0.0050 kg/m is under a tension of 1350 N. What is the wave spelg o 2ype5.w (00frnated?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is thd(c5d ehubop .*r(w7 ue velocity of propagation of transvers 5ceo ud.(du7b r(pw*he waves along the string?

A wave whose wavelength is 0.500 m isqw;rf) ;hpt 0h traveling down a 500 m long wire whose total ma wh0)fr;htp q;ss 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 rw6ga5 a j:rp)fixed at both ends is 200 m/s. Which one of the followapwg :rja 6)5ring is not a resonant frequency of this string?

  If a guitar string has a fundamec+7e o7 zs3bcmntal frequency of 500 Hz, which one of the following fbesm oz3cc7 +7requencies can set the string into resonant vibration?

  A stretched string is observed to have four equal segmentmg,ufvw 6zs)+s in a standing wave driven at a frequency of 480 Hz. What drivingmw+6 ufsvgz) , frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz;5nig ijc+g) k with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loopsg5g);ini kc j+?

  A string of linear density 1.5 g/m is under a tension of 20 N. What shouldpw sz5g8 f,g+cewg2 0b its length be if its fundamental resonance frequency is 22 wgs0pg8gew+c 5bf2,z 0 Hz?

  Find the first three harmonics of a (nosgi(t(zn /v.scuu5 c6 sl7string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50c s/vsscu6t 7 (guo(ilnn (.5z.0 N.

A string of length 2.5 m is fixed at both ends. W45f alp5zc-vmhen the string vibrates at a frequency4v5fm z-pac l5 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.