The time for one cycle of a periodic prof5eb2 mk5ce/y cess is called the

  For a periodic process, the number of cycles per unit . j3llimj97fytime is called the

  For vibrational motiougtwvv3*ox (+yu/*dvd:1 g tjn, the maximum displacement from the equilibrium point is cal+v3v1( t /x:gt*jo*dyvu uwd gled the

  A mass on a spring undergoes SHM. hp *, .b2m ,cpjgf5tfc When the mass is at its maximum displacement from equilibrium, its instantaneous velocij.t2 c 5hp,c g,m*bffpty

  A mass on a spring undergoes SHM. Whenynrmwbs,1 3,m the mass passes through the equilibrium posim3r ym1b,nsw, tion, its instantaneous velocity

  A mass on a spring undergoes *ygaib4 9)ezn SHM. When the mass is at maximum displacement from equilibrium, its instantaneous accelerati*bn 9ig4yzea) on

  A mass is attached to a vertical spring and bobs up and down between poinl6iw 9-th5v5s1w kihje b(ai*ts A and B.9l56bes(jih t awk -iivh51 *w Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dooc8pu 0)vp hq /av khpgzj4)5-wn between points A and B. Where is th8jv54 u)p/pgpa 0 ozkh-)qhvc e mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring.*aot6.-m vf h2qch br and bobs up and down between points A and B. Where is the mass located when its potential energy ihao6h tc.vf.qb2 m*r-s a minimum?

  A mass is attached to a vertical springk7hhxfbxd :20 and bobs up and down between points A and B. Where is the mass located when its potential energy is a maximuh270kfxhb x:dm?

  Doubling only the amplitude of *f5 -s ezcek,va vibrating mass-and-spring system produces what effectv eezcks5,-* f on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-sl)x e5ybc ,x(zpring system produces what effect on the system's mel)yx5x czb(,e chanical energy?

  Doubling only the spring constant of a vibrating mass-ankao ym.p:ja8lz(vyc ,yf/bg-gcig7g;* -5 jc d-spring system produces what effect on the sys-vgkz.;g 5l -7yo:c by g/jccf*ygiaj8p,a(m tem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and7 ocecasf/zi )/w;qw le+j: d. on the Moon. Where is the period tha j+/f7c . z)lc/i ;wee:dsqwoe greatest?

  Increasing the spring constant k of a mass-andmjtyx;40)p ,azkh,)nht ds(z-spring system causes what kind of change in s,;0h d4 tzx)k(ap)nty mhzj,the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes whd11l4yb) jx/jjaix3s9 svzcdy6 y k4/at kind of change in the res)3xd xykj9csyj/ lj v61yb4sd1 4a/zionant 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 *+ frtns0;vd p6e q25g,wbxs/px zwa9kind of change in the resonapxe f,w9/tp 2nz w d5xvg0a;6*q+ssrb nt 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 2h5*v3gx/*zz/uh yv z5p jckyo yz ;l*M attached to a weightless string of length L. For this system, when undergoing small oscillati3z g5 p /v*/; y*yzzcx2j*lvy5kouhhzons

  When the mass of a simple pendulum is t;t8 slkew 44jv +hmg2v7n *fbvripled, the time required for one complete4v+e2 *sl;k4g7wvnvh8 ft jm b vibration

  Both pendulum A and B are 3.0 m long. The period of 8bx:fed4k wpj fbole,:7 8ol4A is T. Pendulum A is twice as heavy as pendulum B k4dfexel 8o,l7:4fjow p8:bb . What is the period of B?

  When the length of a simple pendulum is tripled, the tie4qwp f5e*gih oe )rklw wk65m1r51z. me for one complete vibration increases by a factoe46iwwm5z* pk)fr1 gohe q. 5lwr51 ker of

  What happens to a simple pendulum's frequency if both its length anc /ty*8uu+j ubd mass are incbu +u*j8u/cy treased?

  Simple pendulum A swings back and fcax6 cg4im0k eh 6+6aporth at twice the frequency of simple pendulum B. Which statement is corp46+a0ea ixc6ck 6 ghmrect?

  If you take a given pendulum to the Moon, where t,ol;g, cxj d1ahe acceleration of gravity is less than on Earth, the resonang ;lo ,jx1,adct frequency of the pendulum will

  Curve A in Fig. 11-1 represents 6fhy;e) x.jk8hd )vzk

  Curve B in Fig. 11-1 reprefbd /6c ekb(13uu kyt1sents

  Curve C in Fig. 11-1 represents-p8 nd ovh.-6kp iz.lx

  For a forced vibration, the amplitude of vibration im2bqk wo. :)/-bpkz nn8cha j9s found to depend on the

  In a wave, the maximum displacement of pointsr b6ec.0d cb;q of the wave from equilibrium is called the waveb .cdc;b60eqr's

  The distance between successive crests on a wave-t 0nkxwmo p:beg-0ogb -77 ;kyf gvs0 is called the wave's

  The number of crests of a wave passing a point per unit thw hw.fa2l 4pdt; 2o.dime is called the wave' d4f p.hla.w2owht d;2s

  For a wave, the frequency times the wg34 ;. ,dmihy gqqzw6cavelength is the wave's

  The frequency of a wave increases. What happens to the distance between suz+rv9 2+ebil t: atqh2ccessive crests if the qzta2l ei++t :hr2v 9bspeed remains constant?

  A wave moves on a string with wavelength l and frequency f. A se9 u,gbircc(0ffw7 n; hcond wave on the same string has wavelength 2l and travels with the same veln cf;7h wugi9r(fcb,0ocity. What is the frequency of the second wave?

  Consider a traveling wa: 3m ilkkch,y/8.t-ack+deq fve on a string of length L, mass M, and tension T. A standing wave is set up. Which of the foll 3+it8yde m:kakfl.ck/cq, -howing is true?

  A string of mass m an/o1f3jaw-8k gojm esz4r or+ 6d length 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, wit 8g+sz4w 6o -amj rekoof1/3jrh no change in length?

  A string of mass m and length L is under tension T. The speed of a ox1iv kx1f 2*hb 5mb8y2ip 1+hquavd- wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with nh2 iav-b kmu1b ihpfy 1xx28+od1 *5qvo change in mass?

  A string of mass m and lengt- 8olye*f su k)auyh/m.xie3.h 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 ste ks u/ iy3xmo8.-.fye)ul*haring if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave 0-qrf puaq/3y3 tp8vbtravels through the Earth, the relative mop80uy3r pfvbta qq /-3tion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As u;9ji8nqe bw1a P wave travels through the Earth, the relati81ne q9ibujw ;ve motion between the P wave and the particles is

  The intensity of a wfp-a4 kkld p4 3aq4(tgave is

  A wave pulse traveling to fvd.x)( l3i6knd-bkethe right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation okdvl.xbe( ki6 n)fd 3-f the reflected and transmitted pulses?

  Two wave pulses with equal pk 6jc,yzb5;ghore e6l;yf; k 6ositive amplitudes pass each other on a string, one is traveling toward the rightye 6r;ezk,j5b flhg6ky;o6 ;c 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 travelii)r l-b boqudf ,-r-o5ng toward the right has a positive amplitude, while the one traveling toward the left lfb d--o)5orib-q ru, has an equal amplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a systemdb*p)ks3c s0z , such as a string fixed at both ends, occurs when

  If one doubles the tensiovx ;rfq ih7j1,n in a violin string, the fundamental frequency of that string will increase by ahf7;xi 1vqr,j factor of

  What is the spring constant of a spring that stretcxegio,( 4h,g jhes 2.00 cm when a mass of 0.600 k, oegi hg,x(j4g is suspended from it?

  A mass is attached to a spring of sprin(9j rdssq :7neg 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 pn7ed( ss9q r:josition when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring c/ dr+9nb82r1r5 fie uldg4kr constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the m rf 9n+rb25rr1dkeui48 /gd class and let go. 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 4l4f dfr)lvu6nzip) 7along 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 posr l iff67 nz4)4udplv)ition when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. hsl i +jtq hfww47q69h7kbl72 It goes through 10 complete oscillations in 5.0 s. What is the pethq+7k6 l7wh2lw947si jfbqhriod?

  A mass vibrates back and forth frpa217/dex7cni (k grf om the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic7(a17/ r c gpfdkx2nei 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 conskur*x +oi nt18q n4f2,wbw1kxtant 20 N/m along a horizontal, friuk r*t81b wx2 xnkf 4,i1noq+wctionless 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 system?

  A mass undergoes SHM with amplitude of 4 cm. The eab5yx )5,gkz7x;lgnu+qt k *inergy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion5 g+l q5xikx*kt7, );zagbuy n with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring 3yx4xlfsas-7n gr n 5+of spring constant 20 N/m along a horizontal, frictionless surface. The obnn5s4 3+xasyg7lxf -rject 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 constant 20 N/( egj xy7s1 nc*1g.blmd34fwu 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 ajyc.xd 7b 1(lgfs nu*43g m1were the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to tm*cm:gr9/nvf d7cd y9k.wkg;he end of a horizontal spring of spring constant 50 N/m and set into simple harg9.vc 9yd ;:wdkmmc7 r gk/fn*monic motion with an amplitude 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 con 31rupeo c7t,d n*l 07nuhgz5dstant 50 N/m and set into simple harmonic motion with an amplitude of 0.1,gp7 hdc 3 rutd1e ln*75oz0un0 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring oaal07qj(/s.kl9x/ gi9o v dml f spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kine l7mq(ial 0 l/vxg.9ok jad/9stic energy of this vibrating mass?

  The mass of a mass-and-spring sy o1b (q .zjc2jycu,mu0stem is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observ.ju0cqy, u(z bo1j m2ced if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spriqu8h/u49r+.v8enya uet y j c7ng constant 10 N/m. The object is displacedt cv4+8yq euu ay9.h u/8enr7j by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attic* b.kx(glw4l3* h72kv ger pached to a spring of spring constant 10 N/m. The object is disp*b cel*lwk 2gi7(.grhp 4kv3x laced 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 spring constant 18 N/m, dis c7r )vfh6es:oplaced slightly from its equilibrium positivhs :ef6c)o7r on, and released. What is the frequency of its vibration?

  A mass is attached to ervd 8o62pu ,xkt;g;t a spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mtu6 ,dvtk2ge r8; o;pxass?

  Two masses, A and B, are attached to differentublnm dzcz q7ht g(6dt,-t29( springs. Mass A vibrates with amplitude of 8.0 cm at a frequlc,t7b 6( t2( m hdz9gtudnzq-ency 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 sp (y1zxhxr; 4jmring. 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. Calculate the perimyr 1;j4hxx(zod of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilc5mln(0 r d8blibrium 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 rl8 5mdb(nr0lc est. Calculate the total energy of the system.

  A 0.30-kg mass is suspen3n sbso*q7)hs zys-:t ded 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 down and released from rest. Write down its equation of motio -zh3nys t :os)sqb*7sn.

  An object in simple harmonic motdto- 9,u9i pkuion obeys the following position versus time equation: tp ouduk,-9i9
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motdc-t04 rrpewa70)b eyion obeys the following position versus time equati0)a -pyd tb0recrw47 eon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmoni45hz)cqxo6 xw c motion obeys the following position versus time equatx5 w)zo 6cq4xhion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spr* q+dtq6q- (cuzycm il0-e0qving executes simple harmonic motion according to the equu0t+eq6 c(qi 0lmvc * q-z-qdyation $y = 0.50 \; \sin (18\pi \times t)$ 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 flp(j8 lk 8kv+ ila6iy+orce constant of 20.0 N/m oscillates on a horizontal, frictionlessy8l+8i jaikp vl +(l6k 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 frequencdqr1b fex:2 -*j5ujdwg rca* 1 5r)away and peri1rwa ra51xb:g 5-d*r ju c) w*2jdfeaqod on Earth?

  A 3.00-kg pendulum is ft8jkp3id/892r vyfo 28.84 m long. What is its period on Earth?

  A pendulum has a period of 2.4zr3gc gek ogcc7/)s10 s on Earth. What is its length?

  The pendulum of a grandfather clock isa-cvhy;r-: +kg;op i d 1.0 m long. What is its period on the Earth? ov +chk :d-pyar-;g;i

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the zcf7x-qd +il* Moon wh-izldx7*+cf qere the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25- w4i2tl 8h:rjjkg 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 frequency2tjlij h8r :w4 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 displa h(f.:iyrh by15k. sufcement of 8.0e. y5rish:fbu(kh1 .. yf It oscillates 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 "snaph /mr-gk88 hc* bvz6tdshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude?6*zk c8dh- tb8h mrgv/

  Figure 11-2 is a "snapshot" of a wave at a given time. The r)-de7 3jq ijhudh.c0(kkhg5 frequency of the wave is 120 Hz. What iq307k )hcri5( hgk-d dhujj.e s the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the bpv5:oxgmk4 ahfa 0ij.:p 14y wave is:pgap v.h1mfo4a5yb:0 j 4 ixk 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a pe qtajtlw )jhj:4)s6/rfh: -jml axznc31-h; kriod of 6.00 ms?

  What is the period of a wave with a frjrdzayl;gw83 )s dsf -.nl ,5aequency of 1500 Hz?

  What is the wave speed if a wave has a fr).gq f)4c mhv;yzjfu8equency of 12 Hz and a wavelength of 3.0 mmv.f4 ;8)zuqf jc)ygh?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency mg +dt5ke1 uxazn7*t* of 12 +tuzgn1a km*t7d *5xeHz?

  What is the frequency of a 2.cx4se,zc4 *vz 5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/vb gne 3*rm-0zm is under a tension of 1350 N. What is the warbve 3z *n0m-gve speed?

  A string of linear density 6.0 g/m isr 7 bqc404bmmd under a tension of 180 N. What is the velocity of propagation of trar dcb7mbm4 q04nsverse waves along the string?

A wave whose wavelength is 0emc.bw-( t61bnc uvn7.500 m is traveling down a 500 m long wire whose total metm cwn vubb(-nc.176ass 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 w06qp)dv0in vkvoq +2string fixed at both ends is 200 m/s. Which one of the following is not a reso6)vqv 0+v0n qkwoi 2dpnant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hzjyt8r 6,xscrlj75;wf , which one of the following frequencies can setcjljxr;tw5s 7y6 f,r8 the string into resonant vibration?

  A stretched string is observed to have p*vw v0nk:0 wwq.;togfour equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equal segmentsww p0o*v0vng:k tq; w.?

  A string, fixed at both ends, vibraj4xxr bw8( 80 jtyqeyyjl 0s,9tes at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. Wh b(y0eqj8rlst jx08x 94wyjy,at frequency is needed if 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 ;lq)nmm(l)22ix p-o qfx( i5n e:fcq cits le(lqpxnecco2;nf)- q5xf2: )m( qli mingth be if its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string oatmcpp98 0fx hz82 lk0f linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of fta0plmkp x 8 82h9c0z50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates du* kk35v )tyuat a frequency of 85 Hz, a standing v*td)kyuu k 53wave 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.