The time for one cycle of a periodic process is calp(7v ;u 6c;lv;3+od +uv8tco colozgoled the

  For a periodic process, the number of cycles per unit w.4 d4td*z 2ceo,fskoc3s i. gtime is called the

  For vibrational motion, the maximum5 x *yeh) 7wh3xbiq+5vr3q*r6 (fmfg(rhyapk displacement from the equilibrium point is called t 7hbvr(ha)(m q*e 6hf ywi*rrpf5x3g3qx 5 y+khe

  A mass on a spring undergoes SHM. When the mass is y5 ;rv8sui1jew m :wf5-9c smaat its maximum displacement fromr u-:ei1asw;s5fcmw95 vm8j y equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibrjds97if68k) bl8 gj+s -4 ngq, yoexgmium position, its instantaneous velmg 6fssky8edql4iob8 )n jgx-gj+7 , 9ocity

  A mass on a spring undergoes SHM. When the mass is at ma6y-qz4 a0mpr lximum displacement from eyqml 04-z ap6rquilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A an5/t5h +dqq atgd B. Where is the mass logtt /q+qhd5a 5cated when its kinetic energy is a minimum?

  A mass is attached to a verticaa 4i,fe4 4-jdyy;jsce l spring and bobs up and down between points A and B. Where is the mass located when its kinetic energyea;4ie4sdc y,fj-4 jy is a maximum?

  A mass is attached to a vertical sprig8-jy kfa3q m-ng and bobs up and down between points A and B. Where is the mass located when its potential enerf- k-amyj 83gqgy is a minimum?

  A mass is attached to a vertical spring and bobs up and down betweufb/;xl avnkl3,/. xpen points A and B. Where is the mass located when its potentiaabk.u/lp3fxlx, nv /;l energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produce kkf29-.ih qur r.gg:fs what effect onkgg- 9rqffhr. u ik.:2 the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring hn;ant -kssiv 9+p ovm;ir/42system produces what effect on the system's mechani iv;i;mpnv+4s h/ 2 9-stkrnaocal energy?

  Doubling only the spring constant of a 0nui8)epk4v ivibrating mass-and-spring system produces what effect on the system's mechanicalu8n0)viipe 4 k energy?

  A mass oscillates on the end of a springbm vrm; 80xi(i9:c / l/wd/xmju3 dupx, both on Earth and on the Moon. Where is the prx 9/i:x xmb3wmcl (idmp80/v ;u/djueriod the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind 3ghep /uc0g tx ;,2pphv0tl 1)3cppegof change in the resonant frequency of the system? (Assume no change in the system's mas2);h 1,cu3p gepv e0t/ hg0p3t plgcpxs m.)

  Increasing the mass M of a mass-and-spring system causf,h +xyss6v4wc d -t:qes what kind of change in the resonant frequency of the system? (Assume no change in the system's spring v6hq4w-t d,cs+x sf:yconstant k.)

  Increasing the amplitude of a mass-and-spring system causes what kind ofe*nvmj8lqo0*p1y f/u change in the resju* o0/fp* 8lnmy1qve onant 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 consi ryg0s(q+ fpf7r5s +wysts of a mass M attached to a weightless string of lengthsr0(sf +pyf+gy5 rq7w L. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one comp24/ iz e55lwy x: llxd1yx5lgplete vibratio5i2lgzlp /y: xyx55 le1lw4xdn

  Both pendulum A and B are 3.suo /li l-b:)k0 m long. The period of A is T. Pendulum A is twice u: ) klbo/li-sas heavy as pendulum B. What is the period of B?

  When the length of a simple penf q2qx0 v id:sbp0d87/lh1f1rvt uo7g dulum is tripled, the time for one complete vibration increases by a facto72 boqfuv0lxh/8rv11 di70d: s fqpt gr of

  What happens to a simple pendd3a 3s2*tmgrxulum's frequency if both its length and mass are increased?3r t g*smax32d

  Simple pendulum A swings back and forth at twice the frequency of simpozn f*+fg4p+3d u+lffle pendulum B. Which statement is correct?*++l+pffgnuo zdf 34f

  If you take a given pendulum to the Moon, where the acceleratioc:wwbdi(; / skn of gravity is less than on Earth, the cb(w/d;i: wsk resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repre p3ag,jjq8sj zn6x82asents

  Curve B in Fig. 11-1 repres+f qx:w)y )gaw)bhnd5ents

  Curve C in Fig. 11-1 represtj * /x9og*qrs6bppc13w4aek ents

  For a forced vibration, the amplitude of ;n8u,amc .eijo5n1:zfvbyh0bfu q99r l 29v r vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave from eqmc /22 h x(ejmpwkhat *sz6yl1 m0bm99uilibrium is calleepw2m/bz9a mk (t9 6l jxm sh*c10hmy2d the wave's

  The distance between successive crests on a wave is called ny 5a6 3bi1f4lz-xc u h1q4lokthe wave's

  The number of crests of a wave pas:z9q(d :y jtj 6cqxzz+sing a point per unit time is called the wave'(jz:t qzzj96d:+yxqc s

  For a wave, the frequency times th abw:b6d*u j/4+h6dvqrwhj c 3e wavelength is the wave's

  The frequency of a wa+dqs47u3iu2:x glx cwcfx( h;ve increases. What happens to the distance between successive crests4;w3h ud:xxcxs7fluq i+2c( g if the speed remains constant?

  A wave moves on a string with wn7(pj(l*p1 /mbakozyavelength 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 sepmj z* a7 n(/o(p1bkylcond wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A sjx16/zyuo+p utanding wave is set up. Which xpy1+uoz j6u /of the following is true?

  A string of mass m and length 4y* tq.9(qqa. ahaxolL is under tension T. The speed of a wave in the string is v.tq9 *.h4oxlq(.aaaqy What 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 anh t4cenwhzhv o+ x;t0 0pmwe-1 m8- lnyg:b0t9d 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 length is increased to 2L, with no chano hvt0 :y; emce+-gnzph-h0 8w9x04tmb1wt lnge in mass?

  A string of mass m and length L is under tensly f6 46 6) j3g/pcyfkwavmje(ion 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 inm jkvja y /cyge3)(f6l4w66p fcreased to 2T?

  In seismology, the S wave is a transverse wave. A:1 aa fnwhjcx1ud p29)vv rk-/s an S wave travels through the Earth, the relative apfvxkdj1r9 2)/v1 ancuwh -:motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. o a 9yzp 4(6g3o2wprsuAs a P wave travels through the Earth, the relative motion between the P wave anz6s3 4(aogyp2p ro9 uwd the particles is

  The intensity of a wap *8*emr5kie;i 1t az ,nsi-po4s.ootve is

  A wave pulse traveling to the right along a thi (,cfks+wo)vwzg p 2b+qv8p l3n cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and translcf3b g)w+pzk+s8(,2v oq wvpmitted pulses?

  Two wave pulses with equzyj)7 :,g.-f kvejk69u ce dhhal positive amplitudes pass each other on a string, one is traveling toward the right and the other towardhuvej-j fkkhez69gy7 cd,.:) 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 traveling toward the rhon j+u2 tkwd5w. 9:h1ze6veuight has a positive amplitude, okuh :6we2zeudw .nv1 5+h9 jtwhile 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 string fixed at both ends, occurrpc -dsqqp 6f16 g0zv1v rm3/oxk08wfs when

  If one doubles the tension in a violin string, tpq l50:vjo: arhe fundamental frequency of that string will increav lqj :0ar5op:se by a factor of

  What is the spring constant of c*c. bgr 4y:gaa spring that stretches 2.00 cm when a mass of 0.600 kg is suspended fc ar by:g*cg4.rom it?

  A mass is attached to a spring of sprnh ji 9/0-ccusing 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 amplitudccnhsi/9 uj -0e?

  A mass is attached to a spring of spring constant 60 N/m along a hori2zn2nf dw7 )kczontal, frictionless surface. The spring is initially stretched by a force of 5.w2dfcn )72nzk0 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 period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal cms7x/coe+;j j5qcl-, frictionless surface. The spring is initially stretched by a5o+ esqjcmc j-c7x;/l 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 oscillation?

  A mass on a spring undergoze tt1tjq, )n,0+k rgmes SHM. It goes through 10 complete oscillations in 5.0 s. What is th, t1,0rne) jtkzmt+qg e period?

  A mass vibrates back a zq-r;uxs+a 8.x;svppnd forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energypvxuxr8-+pq;s ; sa .z of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a s:dr7phw *xwga7(* hv pl zv5wa-+, vswpring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spw 7dshpvwg ,* xr wvpl7(z+*-a:awhv5eed 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.mz ip*(v 7ye6rx ,jy1f The energy is 8.0 J at this time. The mass is cut inr1pe7 vz6myij ,x*(y f 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 attach2.gtyd4nhpo u4mpa4 : ed 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 thp2y.gnp4:4 4 huoadmte amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m ag(u8)a* 8 0gf h lmfpxwkr,ar)long 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)*0u mk(lga hxaw 8p8ffrgr), 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 spr;e7j fec 3h8iiuzcdv .yo78 h7yjo*v6ing constant 50 N/m and set into simple harmonic motioh i oyje 6dofuejhi.vy8 c7738*czv ;7n 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 constantf,u/3t h+z1nu*pab cl 50 N/m and set/h* c pnu+ufla,t1z3b into 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 the free end ntsivjbg9urw ) e)m q8a6j:njn,88+iof an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of+j89)n:8u sej)abti vn jg wrn68, imq this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium i:fo9+ if(kfwxp ;( ys eoanb6+/7sdq position ande67 nwkfb fsosi9+o(i( : adqp+ ;fx/y 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 attached to a spring of spring consi+:fp mtd,*/k mmn ep7tant 10 N/m. The object is displan+ ppt/*ie k7:d mf,mmced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is azi 2/btd7 ix/fttached to a spring of spring constant 10 N/m. The object is 2z dxb7iit/ /fdisplaced 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, displacg,*ph bzr8;xtec w; wurp5t )ip0 6a8ped slightly from its equilibrium position, and 8 ep*w6r;, 8ha ;zup) gr5x0itbp pctwreleased. What is the frequency of its vibration?

  A mass is attached to a spring. 4 crmt(e,kmkq .9)ddv It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and rel ,4det)9.(rm kvqdmck eased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springsiixf+/x /uqvm n +;:dh. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrath:n+ qfdx i/i+mvu/x ;es 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 equilibrium the mass stretches6:bw b7 vzq;wm 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 period of oscillation 6zmbqvww;7:b .

  A 0.30-kg mass is suspended on a spring. In jwun ,4e( e,gdd/1wqcl8a)a x 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 totald,lqxu)aw d( ,wg / c8eajn1e4 energy of the system.

  A 0.30-kg mass is suspended on a spring. qqm*ip/z7 rsy)k*5c i In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additio 7 mizi/*ys)k rp*c5qqnal distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position vzm p(/j)aus q7e0r k.yersus time equati ye ra0/z(7)pq sjmuk.on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus tbm3 mae*c vf.eyb3/ckx1+ f-j ime equatiofexv ce/b1y- bm.jm3 fka+ 3*cn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonifw biv.m5l6 i(e vrb23c motion obeys the following position versus time equationw bimlfe63i.b(vv r5 2:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mot g-*:6 i bphbfuu9f)vtion according to the etupug 6 fb-b*:9vfhi)quation $y = 0.50 \; \sin (18\pi \times t)$ 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 s *vi8ni; xwbzbe*zs)y d 22ktj-/2l boscillates 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)ewtdzsv 2*- b2/*28lnibjs ik;ybxz.)
(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 swivu/wlg;.b -o*qquca 7ngs in 8.0 s. (a) What are its frequency and period /u.gw -a q;v7*cob uqlon Earth?

  A 3.00-kg pendulum is 28.84 m l) p5kbks:rs/ f1a3s/tls 3hnqong. What is its period on Earth?

  A pendulum has a period of 22 uw9)ytyyj ( ewsk;2n.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the +al, ;rcm0w 22tes5koly*b s iEarthy52al*oclbk 2rmts ;,swie0 +?

  The pendulum of a grandfather clock is 1.0 m long. 0+yog2e :v4 ve ht;rnk What is its period on the Moon where the accele4n h0:kgye+vvr ;e2o tration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0dj,m 0mq b w*/bnzot)(.25-kg 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 frequeqtb*0 )(/w znj, bdmomncy 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 anguwt2fe a299 kmular displacement of 8.0e. It ew9u 22f tm9kaoscillates 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 wa56bj k;4sm:bewdx9veje3) mjve at a given time. The frequency of the wave is 120 Hz. What is the amp6) ;k94b jvbm emd3 5eejw:jsxlitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the walr ,x1i9e/b 7 tohk1bove is 120 Hrboh1k, 1 t7bxle9/ioz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave vnbze/u2 j xf6+fp)g2at a given time. The frequency of the wave is 120 Hz. What is the we+)6b g/uzjpfv2 f2nx ave speed?

  What is the frequency mj/8fgox0 * nzof a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequency of 1500n-c jqt20xm4zp -qpm- Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavehjeh x gviy(d9,i9h r1);zhx45huj,nlength of 3.0 ;dr h59v1x ey)z,n uh9xihhg (j4,hjim?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequency pm7t8) ry o0jkt(upt2 of py( mtt ou870 k2pj)tr12 Hz?

  What is the frequency of a 2.5 m wave trave 63-o 3rtg9cdlx3yjp kling at 1400 m/s?

  A piano string of linea4rvjb2 -wx tymp4jw+ + lq+o4kr mass density 0.0050 kg/m is under a tension of 1350 N. What i kmvbpow +xy2rj4q4w+ tl+j 4-s the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is ypoc50 r7ri/o wyk4q 0the velocity of propagation of c0/wor7kqo4 i05 yypr transverse waves along the string?

A wave whose wavelength is 0.500 m is tfu j4b/7 j:ja3peb2ggwq1fd, raveling down a 500 m long wire whose total mafwf34 1ju ejgb b:/gd2 qpja,7ss 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 lo17w cm4nps*xt ng string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this str tw1mxc7*4nsp ing?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the follok/8 mr/-f kcqqwing frequencies can set the stringcr kkqmf8-q// into resonant vibration?

  A stretched string is observed to have four equal segments in a 2epbv z loz;b 8ntrcu-0p(r ;7standing wave driven at a frequency of 480 Hz. What drb( upleo; 0z- tbzp7ncr2;8rviving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends+(ym:-ortb wemysju (-a,,hrv tzs35 , vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave ps-yshw+y:mj ar, t(rvet (,z3b5ou m-attern is to contain 4 loops?

  A string of linear densit sthdp69tnzj7g,6r *2ouwa1pj4zp l+y 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance fresd 2,4twpjh9 ul *n+o jpa6p7tz1 r6zgquency is 220 Hz?

  Find the first three harmonics of a string of linear ma)qky+nrey (-ess density 2.00 g/m and length 0.600 m when it is subj+y(k) qrne- yeected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Wqapu gp9, 98syiy hn,8hen the string vibrates at a fp psyng,ui9a 89q8,hy requency 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.