The time for one cycle of a periodgo i-o +owk c7:*sye3zic process is called the

  For a periodic proce;v/-oarj 4zhb. er8d uss, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium pjq jj0;(* 0ej yalpp7eoint is called a le *yjpje00jj;7q(p the

  A mass on a spring undergoes SHM. When the mass is at its maximum dimdn h*z *lz7x0al; *arsplacement f*naa z x* mrd0l;l*h7zrom equilibrium, its instantaneous velocity

  A mass on a spring undergo)3 l a)fa.kobges SHM. When the mass passes through the equilibrium positioa).afbgkol ) 3n, its instantaneous velocity

  A mass on a spring undergoes i- d6v jl-8rewSHM. When the mass is at maximum displacement from equilvjdi-e8 r-6lwibrium, its instantaneous acceleration

  A mass is attached to am-erpjj0 lc0f an l*): vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy i 0pa*c-je nr0lj) ml:fs a minimum?

  A mass is attached to a vertical spring and bobs up and dowiq 25h9s:1y ;gbxoum zn between points A and B. Where is the mass located when its kinetic energy25xogh9 i: qyz;1mbu s is a maximum?

  A mass is attached to a vertical spring and bobsb)jfz8b+cg) awas7k 39ef xg; up and down between points A and B. Where is the mass located whx gskcbb) a39g w)a8; fje+7fzen its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between po2r ykih (r,6auints A and B. Where is the mas6 ua(2yr,hkir s located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces what vpb vpc (3;2noeffect opcnbp 3ov2;(vn the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whwq -w) ump+gu.at effect on the system's -)pgw+umw u.qmechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system fkbq f1 h7v336hs9 bqmproduces what effect on the system's mechanical eners3b6bh f7qvf1h3k9mqgy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Whd.c* ckoi-4 ezere is the period th4d.* eoicz-kc e greatest?

  Increasing the spring constant k of a mass-and-spring system causes wha +.blesm0zw( 6g)d- mv. tfceat kind of change in the resonant frequency of the system? (Assumtd6b az+(m-0me.s f ewlc.)g ve no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what -* i jr9hv4n6m ftscg250nv;u,dz mcvkind of change in the resonant frequency of the ujvm 9 r0z-cgn2mcs4v6;n*h v d5i,f tsystem? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system u v o(t:ynsm/ bh;v(yx5t.8pmcauses what kind of change in .8u(; m m:(tsovhtbn /y 5xvpythe 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 attached to a weigg45euo orv81yhtless string of length L. For this system, when underg e4o18u royvg5oing small oscillations

  When the mass of a simple pendulum is tripled, the time required for onf wr cr(32t+1 q)lkwkne complet2fc) 1k( +krwqwtr3nle vibration

  Both pendulum A and B are 3.0gfts/20xzt4s 6fp0iy2ol hy 4 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. What2ftzs 2tfy hyx p060/oi4l4g s is the period of B?

  When the length of a simple pendulum is tripled, the time for one comp yo(-p;c dm*a3nx8fgbvkwp ;* lete vibration increases by a fx(ckpnv; g8*p-w;a yd*m f bo3actor of

  What happens to a simple pendulum's frel) q/v;rktmq9 quency if both its length and mass are increaser;qk t9l) qv/md?

  Simple pendulum A swings back and forth at twice the frequency of simple pendulugxpfq/ xhj 6/ie yv+ 0rkn08u4m B. Which statement is corr hqexuyk/04 r/jf n0xipgv86+ ect?

  If you take a given pendulum to the Moon, where the acceleration of:v)7ofh / z0co u,oczy gravity is less than on Earth, the rehzu vco7: fcyzo,o 0)/sonant frequency of the pendulum will

  Curve A in Fig. 11-1 or3u lcd e+4-5h m6w7z5hiaux represents

  Curve B in Fig. 11-1 represents+m hjtwj buz, ()blw/5

  Curve C in Fig. 11-1 repc1qe t2ay6z ,,kt*z c.*+ yc:d zeuosuresents

  For a forced vibration, the amplitude of vibration is found to depend on thtjrn *v-a dl7hqpcy/ c:-6xyynf )6g2e

  In a wave, the maximum displaf yy jmrph+g g*1r014ncement of points of the wave from equilibrium is called the wave'yf*4 pn+ grjgr110 hyms

  The distance between successive crests on a z02o,0cyi5ez b5 dndm wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the wc)7gk;gnmi2x ave'g 7m ig2);kxcns

  For a wave, the frequency times the wavelength is the he8+ -rfm1 zegwave's

  The frequency of a wave increases. What happens to the distiqqo: e8 /0+ch7 hastsance between successive crests if the 7s t h8ohc/0a:is+eqqspeed remains constant?

  A wave moves on a string with wn fp4 7nymh/(o3sj xz9avelength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What io jn3shxzm( fn9/7 4pys the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tensi w,d*lejknsxx 2)0 7bzon T. A standing wave is set up. Which of thezd 0 xlk,ne)bsj*2x 7w following is true?

  A string of mass m and length L is under tension T. The speed of a wave in thwikkp:xa,p b ;2h- e)fe string is v. What willf w ;ek2b):,a-hx ippk 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,2sdv qq u qge.n3/vn (fo*ig5 a wave in the string is v. What will be the speed of a wave in the string if the leng3svg/ qv,qo q2ui.(f*5dnngeth is increased to 2L, with no change in mass?

  A string of mass m and length L9 ed0cnly9)px 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 tension is 99 l)xedy 0pncincreased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travelsycx/b cg :soyb).q:gpwc 8ndxu;o 2 7: through the Earth, the relative motion betwe2 :sqn:yg.u: cox7doxcy ;b) w cpb8/gen the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave tra0swf307z twmwc*h h8(j:a p yw4jv k;vvels through the Earth, the rewjwva vhw f7zkhp y4c;tw: 30(*0m8sj lative motion between the P wave and the particles is

  The intensity of a wave ik-2 tuwtt( ,dns

  A wave pulse traveling to the right along a thin cord reaches a disq/kn,i.l9u z-* lbxffiqg,s /continuity where the rope becomes thicker and heavier. What is the orientation of the reflgl-q n,/fx.fl*/qi s,ubkz9iected and transmitted pulses?

  Two wave pulses with equal positive amplitudes9,8bl on,ugtq pass each other on a string, one is traveling toward the right and the other toward t bg8o utn,,ql9he left. At the point that they occupy the same region of space at the same time

  Two wave pulses passj .xk vbbdy3 ,sxv1s46qg:9aj each other on a string. The one traveling toward the right has a positive amplitude, while the one trxb96j 3y:sva x qk,jb 1.svgd4aveling 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 string fixed amo( ya2i2u ly*/qng8mt both ends, occurs when

  If one doubles the tension in a violin string, the fundamental;lk h3 *70hmnpckc;r m frequency of that string will ink hc7lnmh;c; p3*0 krmcrease by a factor of

  What is the spring constant of a spring that stretches 2.01+(n,r wqd oi8u tu+ly0 cm when a mass of 0.600 kg is suspended from itwr+,u8no ltiq(uyd1+ ?

  A mass is attached to a spring of spring constantcqald9;aj xlnu ) t7.e)8gtz7y(j w:7vuz 1kq 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 Nu :lzjq7 czd. yj)wt el1(u7n;vgakq)x9t8a 7 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 t,l2a 5nzimljog(0;rm o a 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. It takes the mj rz0m5(m2 l,ailo ;gnass 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 sprinvg6:zze s/h 92 b mk0x3hklf+fg 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 oscillation0s xhe2gf:6+khb zm /fk3zlv9?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in5,x whfa)x2qa v6k w9r 5.0 s. What w9 wahx 6 k2)af5v,xqris the period?

  A mass vibrates back and forth from the free end of an ideal n) bnoi,khc, 1;,ysj bdpqpl+5c)+ mp spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrati,cmlchpq,d +, 1op+5ybk bs nn ij;))png mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring cons5n) lllg19nfp tant 20 N/m along a horizonta1n l)9 lp5nlfgl, 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 system?

  A mass undergoes SHM with amplitude tt h(t:5vkr 5yof 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 cm. What is the enttt(v5y 5r hk:ergy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizonqk8/,olf , .qu*krohi6w wfg2b .)tqatal, frrw h.o6af utf i./oq)l2k, ,*bqg8kqw ictionless surface. The object 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 a1aq 7stjlj 2q, spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscil7t1la qq s,jj2lates 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 horizontal spring of spring a-j/8o1tt fkfij66.xyn- hkqa;lh.6,qh u ga constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy oftu-a hf tqfq;616 -nk8 yjh/aolka..6 hj,ixg this system?

  A 2.0-kg mass is attached to the end of a horif8 ,uobcybt6.wei t 9h/z0.e izontal spring of spring constant 50 N/m and set into simple harmonic motion with an .b8i het9y0wf t6uc eb,/ oi.zamplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and fo,:94jp afvp zzrth from the free end of an ideal spring of spring constant 20.0 N/m with an amp9 :zv,a 4ppjfzlitude 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 w:p*pl9ik. cez0 t6k-hcq hn7cm from its equilibrium 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 qk wp.zt: h6c* iph7eck0n -9land then released?

  A 4.0-kg object is attached to a spring o lzm,/a uzmpk9*vv -*y8ya;gaf spring constant 10 N/m. The object is displaced byu z-98;v,/ayv* gmyz kaampl *
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 cone 0hy )r*wce)fr+uxi 8stant 10 N/m. The object is displace e)fxwc0hreyriu+)*8d 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 d -qx 9q/r )o.nsb;aeqr kfb65N/m, displaced slightly from its equilibrium positi ds q5;f.b-)b9rax6oqn/ ekqron, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It 1k9f(ko+9f 0vpibp.yd * m tlroscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the mao+vp1rylbf .k(mf9i d9tk0*pximum velocity attained by the mass?

  Two masses, A and B, are attach kh q8cbs:k/ v4d9ll/hed 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 tdc4qkvk9/sh/:lhb l 8he maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium t p/y+)qilev l:he mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and releas/el y) l+p:viqed from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspende-xhs g( 7m0a 8ckdkic;d on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is the(g k cx-8s;c0idm 7ahkn 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 sprinpty;93 8mjsv7 qb njrv/y2+wfg. 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 8b tp;yyv2rsnvf3/+79q jjm wmotion.

  An object in simple harmonic moticfanh,s t4n+.l+x va u..hl)gon obeys the following position versus time equativa .hunlx)t nag,hc. .+s+4lfon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position vap7x,: yitc:s gsff(wx*;hm7 ersus time equation:w s,7;f7tx( mg if:x*aypshc:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeypo, 7+1sx/g c)ahsrdfxmlz,tyc ( 8g0s the following position versus time equa) lox(tf,0d,h7 mpgr+sxy 8ga 1s/c cztion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free if v.gnq17pn mwzp-(8 end of a spring executes simple harmonic motion according to the equat8-.7pw n(nzpqvif1mgion $y = 0.50 \; \sin (18\pi \times t)$ 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 of 20.0 N/m (6k d9v:opf/h pp vb(ioscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is /p6(vpfb9kvio :hdp (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.c1rt-z );i q6uvth6 tl (a) What are its frequency and period on Earci)h-rtv; l 6 t6tz1uqth?

  A 3.00-kg pendulum is 28.84 m long. What is its pe3rna-eg/ht *0 7f2cbb y d*bxdriod on Earth?

  A pendulum has a period of 2.0 s on Earth. Wha8go; j9ghpn3avy q(*mt is its length?

  The pendulum of a grandfather clock is 1.0 m 92 55b5;oz bfzua* dasu*yb ofprr7f8long. What is its period on the Earth5a5sdb*b ub7a89rrzuf* ;2fo5f zyp o?

  The pendulum of a grandfather clock is 1.0 m long. What is its pexzb m)uk qykys8m o;,y o6*g36riod on the Moon where ;y y6x yuq)*8s,g mk6o3kbmozthe acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical m.9eca g)v..uq x2z pbrass attached to a massless string. When the mass is v 2bag.ruq). .zc9epxdisplaced 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 angua+l*m, rvq) 2uwhc6u dlar displacement of 8.0e. It oscillates withv * da+r cwq6,2umulh) 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"*m. ewad q;p6rk+ kg+xq 1h(wfe v7q*n of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplit*keahg+mqf;1+kd7 ( nprw*qwv. xe6q ude?

  Figure 11-2 is a "snapshot" of a wave at a given timiu1h,vr0 k-d70ax5z /qhny . rjqm;zx/ffm3x e. The frequency of the wave is 120 Hz. What is the wavel. m0j3/y;f z7qh-uxdmk/r 10x xqihaz,n5fvr ength?

  Figure 11-2 is a "snapshot" of a wave at a givbf pje+/jjpinl1. 9s :f w((uken time. The frequency of the wave is 120 H1f(usfj9b ljneiw/ ( pkpj. +:z. What is the wave speed?

  What is the frequency of a wave which haqvd + 7d t;dxvg8mf-*ts a period of 6.00 ms?

  What is the period of a wave with a ds)5owvr 8gu 3frequency of 1500 Hz?

  What is the wave speed if a waveye tr) qj z.vflc,360q has a frequency of 12 Hz and a wavelength of 3.0 m?3 q6 vczye,j).fqlr t0

  What is the velocity of a wave that hafri s( c m zu+3iufvvo5.*lq:z0d *e +zu73wgxs a wavelength of 3.0 m and a frequency of 12 H+ 0r .:3gfvz3sozvif+5zc x7qu*d*uu (wmie l z?

  What is the frequency of a 2.5 m wave traveling at 1400 .h e ovm)l zd5u u4n4zr7+x.gzm/s?

  A piano string of linear mass density 0.0050 kg/m is under a t tn94tv(y :q9 ,(u(foo pexmciension of 1350 N. What is the wave s,oe(itfxqcu tymp94n :v 9o((peed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What n1ajb) 4z*hbdhen( 3fis the velocity of propagation of3nn bfe bd()h4zh*aj 1 transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long9z 92rii mepz98mdhn0,guyxx/g x(g2 wire whose total ma0z u8ge/9ggm imhxynx,d9 (2 p 92rxziss 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 propagati +x,28 prccloz* 6*q3vricri dcw(my ,on of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant fre2c zp,3m6i,*(o*lcyxcq8+ rcrirw dv quency of this string?

  If a guitar string has a fundamental frequen jcut:fn; pki30bj/e; cy of 500 Hz, which one of the following frequencies can set the string into resoui;p 3fjkt:;cen /bj0 nant vibration?

  A stretched string is observed to have four equal segments in a (h vu ( k4nh1/e)b19 2ayfshs n(vsnacstanding wave driven at a frequency of 480 Hz. What v(hfhe9 (/ncvsu)a n b2 sk 1y(a41shndriving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates5) 5 dmrpxghq:v n-lb 4x6zoc+ at a frequency of 12 Hz with a standing transverse wave pattern con5)h5 +:xbx4 ndzqolv -c r6pgmtaining 3 loops. What 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. Whatbcr 3m8gbk6w. *ybz 9mbf+*gkpq q9n 6 should its length be if its fundamental resona9w6 pzc b9kyq+k nbgfbq3 g**b 86.mrmnce frequency is 220 Hz?

  Find the first three harmonic cbfj(ka oxckm*o ju 9 :t6:e8+)1bpwqs of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 m j8:(tbq69o+1e x*k )kpcf: ojcuwa bN.

A string of length 2.5 m is fixed at both ends. Wp.nzfg):bb a d5v 9u6when the string vibrates at a frequencv:b .)w 5n9ag6fbzudpy 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.