The time for one cycle of a periodic process is. n12l i+dr;uc3wkf br;lph,u called the

  For a periodic process, the nuk *(qf 6s0 kil8zgchm4mber of cycles per unit time is called the

  For vibrational motion, 78jlo0oz(3u z1epq gy the maximum displacement from the equilibrium point is co7z8 yeu 10jlqpg3oz(alled the

  A mass on a spring u:0;j s g/9 th/zs cmlfkrgl89xndergoes SHM. When the mass is at its maximum displacement ft/m :x9l/ sk9c0zhr jfsgl;g 8rom equilibrium, its instantaneous velocity

  A mass on a spring undergolfiv3o0.v 4nrnn-v 0 nes SHM. When the mass passes through the equilibrium position, its inln-vi. r 0n vv4ofn30nstantaneous velocity

  A mass on a spring undergp 7k)klfc6g/qoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous accelkf)67l /gpqc keration

  A mass is attached to a vertical spring and bobs up arq*/) .4x tuy ei l,hph(xcgl6nd down between points A and B. Where is the mass located when its kinetic energy is a curl eighpy ,qh) .(txx64 /*lminimum?

  A mass is attached to a vertical spring and bobs up and down between points A any6oo2;abtw 1 hogs:w6d B. Where is the mass located when its kinetic energy is a ho12bw y t;wo:6 s6goamaximum?

  A mass is attached to a vertical sprigsyj/5d mh( woj jx8;wdf;e;-ng and bobs up and down between points A and B. Where is tdm;df og-;ey5js8x h/w j;(jwhe mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and nv:kntat u6us-m((m )bobs up and down between points A and B. Where t6-at(n nkv sum:um )(is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring yts nutjd )i*ob6+jr77 6 9vf :qk.ycksystem produces what effect on the sd oq.9*t7kk6 r vjf tyun+c7sbijy6): ystem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spr:v fm4-9 e ,-b pnpvko06b eocsyj;dg0ing system produces what effect on the system's mechn:0m0p vjdcok9sb gbvoee 64fp--; y,anical energy?

  Doubling only the spring constant wf ur12wh2nc.of a vibrating mass-and-spring system produces what effect on the system's mechanic.2 fnwc2hw1 rual energy?

  A mass oscillates on the end of a spring, bovuebm nfvn 135ezl7gel21w )+th on Earth and on the Moon. Where is the period the vm3f1el) zw +572eu gvbne1ln greatest?

  Increasing the spring constant k of a mass-and-spring syqv -u unw/rbxc dm ,77,-eod1ystem causes what kind of change in the resonant frequency of the system? (Assume no change in vwq71 7bunero/,-,-cydx dmuthe system's mass m.)

  Increasing the mass M of a mass-and-sprza f;qa 1djehv)/1 i9eing system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring con)hife1z9a;e av1 jd/q stant k.)

  Increasing the amplitude of l 4f-e-qg64tmu+kcaya mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no ot-uafe4+gqlc4k6 - mtyher 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 attn zftdd *lx, +68 jwsbdpj./-oached to a weightless string of length L. For this system, whwobzs/n -f xld*d6j pj+t ,.8den undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time r7oeplknv;v9qr +,u pr h:l/y5equired for one complete vibratyn+p:q;v79k,u vpo l ehr5r/lion

  Both pendulum A and B are 3.0 m long. The period of A is 6f/iqnro5,3):xkkqp54le4 nm zo8e+u aqjwmT. Pendulum A is twice as heavy as pendulum B. Wha 6:q5k4ozonl,)wq4 fj xe3k imn8pmr5 ue/q+ at is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vif2bznhh3l3+ qtoc9h l zz.9/ lbration increases bylh3nz+ 2zqth 3 h9olzbc/l.9f a factor of

  What happens to a simple pendulum's frequency if both its l/4 5zrg y 1ugd:noe.hf3bzi. zength and mass are incre fi b3.hg5z zy.o:nz4d/uegr1ased?

  Simple pendulum A swings back and forth at twice th/5y) saygva(cz.o7 z ae frequency of simple pendulum B. Which statemaz5 ).gayo7scz(ay /vent is correct?

  If you take a given pendulumma6)rlt ,; 1590zp lwsqlvbqg to the Moon, where the acceleration of gravity is less than on Earthw1bl qtq)0r;5 pal9zsvl m,6g, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents+e(ozcryz.vy:xv5p n*z0 l ,m

  Curve B in Fig. 11-1 repre. 2y)w9uk:hoe42ijgs judgh vo ow;p,da z;7,sents

  Curve C in Fig. 11-1 reprzrw r,3/a38a,nhqqxd :v)jwfesents

  For a forced vibration, the amplitude of vibratift7q x, .cb:csci 85rebz/o*2 eie6tuon is found to depend on the

  In a wave, the maximum dvpez9nk s+ gu1z2f, s-isplacement of points of the wave from equilibrium is called1 9snvzpusfg2e- ,k+z the wave's

  The distance between successive crests on a wk5df11ujce a2 ave is called the wave's

  The number of crests of a wave passing a poi+f m43y a8jpbohf14 drnt per unit time is called the wave'sobya3+1fh f44rdmp8j

  For a wave, the frequency times the wavelength is trmy -y .d;o9tfhe wave's

  The frequency of a wave increases. What happens to the distance betwe l wmycbxf65t+lrx57(en successive cry6mf 7+xrlbc5w 5ltx(ests if the speed remains constant?

  A wave moves on a string with wavelength l and mi *wjsab3 , -2m(aeqbfrequency f. A second wave on the saq2aem, bsj3awbm( -i* me string has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tenifbg1 yn:t*f*sion T. A standing wave is set up. Whifb1gf*iy :nt*ch of the following is true?

  A string of mass m and length L is under tensmc2/ci1 4 fune ,8mn ;z1abvqvion T. The speed of a wave in the string is v. What will be the speed of a wave in th41 vq1cv 8nc 2ubm,mfzi;a/ne e 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 wave in the1fh-pr fly+/4r- iit u string is v. What will be the speed of a wave in the string if the length is in -+-ruhpifl1t yi4r/fcreased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a w;ih ape3 sa6(s8:igut ave in the string is v. What will be the speed of a wave inuthaipasg 36ei8;( s : the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throu;2667 q cnxnot4d, ted4hna angh the Earth, the relative motion between the Sdha2 4cn7 ;tx4e 6a,ntnn oqd6 wave and the particles is

  In seismology, the P wave ir7ecx*c g2l8fs a longitudinal wave. As a P wave travels through the Earth, the relative motion bex * fr27cce8lgtween the P wave and the particles is

  The intensity of a wave is19 wt* jo:rs ,lz5fh3asnaj m+

  A wave pulse traveling to the right along a thim*;jqs -;hlc.frq;win cord reaches a discontinuity wh. j-;l*c qq ;swif;mrhere the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive ax69 w5o4rma qw4415 nx nvfcwomplitudes pass each other on a string, one is traveling toward the right and the other toward the154 x4c ww 5noxmoaf4wnqr9v6 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 toward theu 6* hxk5l pt4nt7urt) right has a positiv*)h56krulu p xttn4t7e 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 time

  Resonance in a system, such as a stribqqsa 7; b9t t1d7s;,l vzoj0yaer 3,sng fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundament1hzfdcd7 ) 8.ijek u/eal frequency of that string will incrd i7kc)/1f z8.heuedjease by a factor of

  What is the spring constantgaxq6fowuyb8dp;p+7e6 px+7 of a spring that stretches 2.00 cm when a mass of 0.6 +7uexpw8yap b76gq+oxf pd6;00 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m als-lgej-gjtsp0i jr2(dh ( 4:dov3rd (ong a horizontal, fricddijr30(2vgjs t g d r-sh-p 4(:ej(oltionless 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 amplitude?

  A mass is attached to a spring of spring constvrl d (-)efv qmf,qq(,ant 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)l, (fdfv v(eq,q mq-r 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 m6 sd5)kp/s6f mw1)mh/fxhxc 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 )m5x w k)hsdhm/6m/fp 1s cxf6oscillating. What is the frequency of oscillation?

  A mass on a spring underns9y mudgj 30d0to/g5goes SHM. It goes through 10 complete oscillations in 5.0 s. What is the t5 sdgdjg3/ o0umn0 9yperiod?

  A mass vibrates back and forth from the free end of z 0f2lc vi0)fh5w4:hxu iuu0n )6hljwan ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of uwih26hlc:f 05lhw)xvui0fz)n 4 uj0 this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attache xzvi+ggd .2/yz0 1mvtd 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 at the equilibrium position. What is zg./+2 vi1tzxv 0gdm ythe total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J at tjlc08z6s 05qf-o h8 / kypvzzqhis time. j6zzqv5/-0zqlhk0sfpo 8c 8 yThe mass is cut in half, and the system is again 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 sprc 3/b+a)uq ts* oa.bncyw5;cring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5c3;q) o*cu5tarb /wb+as cn.y 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/m r45jg:z wj0d l k*u7lxalong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a sper:4jdzl *ug7w 5ljk0 xed 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 n7g)bx5xnz,r5l et l(k yzrhi0x** b8to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitubxh *i0 g8 n*l l,5ezzky7(trn)xb5x rde of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is attq 9fvkyxckix+2s7zmi4 )3 y4f ached to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an 39ivxiyyq2)mfsk fc4 4x+k z7amplitude 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 sprinsrvkx p 6k*cr-s+-b6x9v w4fzg constant 20crxk4 rbv+ks 9-zp6 sx-v f*6w.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 from its equd p- ol,yp6cg.ilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had been displaced ondpco.y6p,g l- ly 5.0 cm and then released?

  A 4.0-kg object is attached to a spring7: cxk3thhuy 8 cqyu.:9d, xmq of spring constant 10 N/m. The object is displ ,udyqmkc 7htx8.9 :qc:h u3xyaced 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 of4)x o+wv4sy ouvsh2k3shq56x spring constant 10 N/m. The object is doss2y 3xuvo )hs64hv 4k5 xq+wisplaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung fm5,rvn nj9 b su.f(0mfrom a spring of spring constant 18 N/m, displaced slightly from its eqvu0mf.jn( 59nsb,fr m uilibrium position, and released. What is the frequency of its vibration?

  A mass is attached to c)c 1pacu1: aha spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from a1 u)1cpcac :hequilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to diffjcmwc)anoeeq)6o a9z fmz* 33*w., rf erent springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitu 3* 9 ejn,ccfqe*w3mazmowo)6z.ra) fde 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 equilibrium the mass stretcxg8cw:av webe6uk *dtmz/ +fj-o:7j( hes the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Cal j/f-7:av+ewe m o xckg*zb:tudw68(jculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equigxbv8u z7hnpi y)3/ u/librium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1i7x83h/g)uupn/ v byz .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 akp,4g h gb (mo 8 o+1tm2(.ifzkl1nchthe mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm dngoa 28hm 1fzbmphg.i4+,tck1(o( kl own and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following .k,pna x;p2 mgposition versus time equationx2p,p.g ank; m:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following posc spcv(09 ( 3brktoqk,ition versus time equatio3k9,(qkb(ct0rs oc pv n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versuse tk86kjdrrw8f0ea ./ time equation6 e0 a8r/8jftwrdk.ek :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motiovr * d mgf,pm19:m(pqfn according to m:(m,dqr 9fv *pmg1fpthe 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 sp8 i:k dot.xu2tring with a force constant of 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 . tkout:8d2ixis 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 ssnwkecowk .7nar1s/cz41 7-l wings in 8.0 s. (a) What are its frequency and pe/n1ack77ws. oel1s n- r wz4ckriod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period ocv5 t9 .bdsqj)n Earth?

  A pendulum has a period of 2.0 s on Earth. What dk p4 s.1wap;oq:.6e 8yivbzr t4nm2bis its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its periygbvbrg 5i )0*od on the Earthr * vyb)5ibg0g?

  The pendulum of a grandfather(nu1 0u*bqrny nw01y3bfi( uym 1,mff clock is 1.0 m long. What is its period on the Moon where the acceleration due to g ymrnqb1 yf(10, n30ufi(unymbf1u*wravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical m3sv8b)akm eg 3ass attached to a massless string. When the mass is d3 )a3e 8kgsmbvisplaced 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 displaceme p51t ldyoq- peubyxq(yq68*w.y l-(cnt of 8.0e. It oscillates with a period of6cy5-pbp(*xq1q .woelyyq- ly (8t ud 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. Thkp e:p9,iot( ee frequency of the wave is 120 Hz. What is the amplitud:,9eoptp(ike e?

  Figure 11-2 is a "snapshot"*b c-am ., q2ojs ubyz;fzc+8x of a wave at a given time. The frequency of the wave is 120 Hzxzc; y8j+zf amb-o*scuq.b,2 . What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wwl694)pg7ycjumofz1 0zmb yw*o-dzd.m5,mp ave is 120 Hz. What is the wave speedbmz*9)gmyyfcwz l,u -d 76zmp wm01.5djp 4o o?

  What is the frequency of tb,1r2z jgniccc um d9;45j (qa wave which has a period of 6.00 ms?

  What is the period of a wave wi(yv4 h+ 5qkploth a frequency of 1500 Hz?

  What is the wave spelim7hn)+8x hj ed if a wave has a frequency of 12 Hz and a wavelength of 3.0 m?+7minhx)jh8 l

  What is the velocity of a wave that has a wavelac ch8 lq:h8*qength of 3.0 m and a frequency of 12ch qa:8* h8qlc Hz?

  What is the frequency of a 2.5 d * mg;8m8mteem wave traveling at 1400 m/s?

  A piano string of linearz, /pk2w kdzm4 mass density 0.0050 kg/m is under a tension of 1350 N. What k wp4,k z2m/dzis the wave speed?

  A string of linear density v9:ywwjnw0( w9o q x:h6.0 g/m is under a tension of 180 N. What is the velocity of propa9n w hw :jwwvx:qy9(o0gation of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m ,rtr9h c07gsclong wire whose totacg,t70 rcr 9shl 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 2.0-m long strib n8(i* g8 8xnhcak nklur704xng fixed at both ends i4ar*kcxn8 h07ibu88nng( lkxs 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the fo; zg;tt.a4gc kllowing z c;;tg4tkga.frequencies can set the string into resonant vibration?

  A stretched string is observed to ha,yd h//3 q8f7ejrmermve four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five eq jh/edrm8q7 yfe3mr, /ual segments?

  A string, fixed at both endr,gc*r3, jg tns, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 33r*rngj g,c, t loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear dee .1e*.mrgb t kagf9jm:r,9jfnsity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamema.r 9rj. e:9fegtg1mkj,* bfntal resonance frequency is 220 Hz?

  Find the first three harmonics .8jep/atgt go;.x (cgof a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 N. o p/g(;.. egja8xctgt

A string of length 2.5 m is fixed at both ends. When(eg0 xzoc+f5(ydu )kdr m42qv the string vibrates at a freque 4 5x ge0r+ozfv)mykdc dqu(2(ncy 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.