The time for one cycle of a periodic procer1ghgqy4 pqd1 o6+,gwagq70ld 8g o/pss is called the

  For a periodic process, the number of cycles per unit time a* 2*mcbxb(2pn3z qy:m;h 1 qylmei; ais called the

  For vibrational motion, thetc f..,,w;opmeu- nt o maximum displacement from the equilibrium point is called ttwc.nm-pfe t, o.ou,;he

  A mass on a spring undergoes SHM. When the mass is at its maximum displacemeoko5 q.z /c9gnnt from equilibrium, its instantaneous velk/ og qn9.5ozcocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibri7e(dgdq g4+t2a(7feecp1ztays(+ vf um position, its instantaneofseed a(t+4 +g2ce g7f17vy( qpd(aztus velocity

  A mass on a spring undergoes SHM. When the mass is at ma; 9xprdbac 401)jgo meximum displacement from equilibrium, its inste x4 oba 0;)rmjg9pcd1antaneous acceleration

  A mass is attached to a vertical s*pwylt: w) 0 d3jaoly5pring and bobs up and down between points A and B. Where is the mass located when itwj3ltd yly*ao 0w5)p:s kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dow vu 6jcb:;(,e5 ncx.ipvppyfa3; 0segn between points A and B. ;f.3 e:g5c6 ppv nc0bsuy;e p,ji(xva Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spo6brw.rnp6; sff5(f u ring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimf5rnrfb pw6o( 6.su;fum?

  A mass is attached to a vertical spring and bobs up and down between pointcl 96sggo8f40k- vbr ls A and B. Where is the mass located when its potential energy is a maxik8s l6l4v0rbggcf9 - omum?

  Doubling only the amplitude ofq jzft -j, 7k+ubk+k 0vz4k9mb a vibrating mass-and-spring system produces what effect zfb t k97bqz+vk4k0kj j-,m+uon the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whatp0 t7v8d +ilm6dt9t au effect on the system's mechanical energp0t i dlm d76t+vau8t9y?

  Doubling only the spring constant of a vibratinfruw+ scx;n :/g mass-and-spring system produces whxu c: /;nw+rsfat effect on the system's mechanical energy?

  A mass oscillates on the end of a spring 7h-ng cl h ylizb9ft1wg2+y(-, both on Earth and on the Moon. Where is the periodygz(ilytw bn2h gl+-f-1hc 97 the greatest?

  Increasing the spring constant k of a mass-and-spring sys ;(yv*/4 nhda4jlm dqztem causes what kind of change in the resonant frequency of the system? (Assume no ah4lyq d*4;nmz d/ (vjchange in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes wh-:dt -kedy9/l6deeo znu2x9 xat kind of change in the resonant frequency edx-: 6 ylex/2enu d9ztd9-ko of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude d3f7nd zl bidjg;-3z mm):bb 1of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Adb;d1 3i -gznjbmd m73b:f )lzssume 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 weightless string of le b( qro6:dp8,ofnti3ib 6yfw9ngth L.oiw (6:yb98t rf3fo6dqnpi,b For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one complet/,mm)l2 +zrdns mi:ljfm (g :ze vibratiofz mms (l:+z,2nmr)di/j g lm:n

  Both pendulum A and B are 3.0 m loxpc1rim; 0vdgc5 56tong. The period of A is T. Pendulum A is twice as heavy as pend5ico;rgt d6vm0 c1px5 ulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the fm iwf1-w(idqq23g4 itime for one complete vibration increases by a f3qfi(d1q-fg2w 4i wimactor of

  What happens to a simple pendulum's frequency if both its lenz;6x,uk85 la )v uy-xw+xknl rgth and mass are incnv 5xa-luk6,k+yuzr ;xl x8w)reased?

  Simple pendulum A swings back and forth at twice the freq+uo;x+hrg g)p uency of simple pendulum B. Which statement is cor )grpx;og hu++rect?

  If you take a given pendulum to the Moon, where the acceleration of gravity is y/( 4tg0uwlckimr 7 ,bless than on Earth, the rk(4t/y0lmrb, i7w u cgesonant frequency of the pendulum will

  Curve A in Fig. 11-1-8ws4 /t nfjkz represents

  Curve B in Fig. 11-1 represeq 17gnjvh+) 56my.jog e sm9iznts

  Curve C in Fig. 11-1 represene gg,rb 5js 4wxk97.4d c3(j8zyj opzzts

  For a forced vibration, the amplitude of vibration iy t-s0i )a(zc uig3ly8s found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibq,xrh2f 9ce4 :4b2hl/d z7ywoaw5a ls rium is called 94a wlqod,ehl/42bczwh27 r y af:s5 xthe wave's

  The distance between successive crests on a wave is called the waveqj4r br)3l2)1,tjrcb x lw+qj's

  The number of crests ;3 -irin:dgx;zj.z;m;p2 ,nwzkgkhx of a wave passing a point per unit time is called the wave's mwgr3x;-n kgi x.zkz z ;i,nhp2d;j:;

  For a wave, the frequency times th//8mlo9w obcqauw yi2- 7pn4 ue wavelength is the wave's

  The frequency of a wave increases. What happens to the distaz5yttdkq7 u)z i3*x,vnce between successive crests if the speed red 3t u5xz*y 7z,ktvqi)mains constant?

  A wave moves on a string with wavelength l and frequency fjro88l92sjd hv. awf 7bzo,:f bk)g3p. A second wave on the same str9rh8 dbokz87,.j)g p 2lj:vo f3sw bfaing 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 : uy9r9gz0fyf4mz.h :p,k gad, mass M, and tension T. A standing wave is set up. Which gh, g.yz4fm df 9yaz9p0u:k:r of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in they (xmwuj02)qc strin2 c(wmyju0)xqg is v. 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 and length L is under t (w9soxvb jk*q.fy. (ma9ela 3ension T. The speed of a wave in the string is v. Wloba(9amq 9*y3 j wfxskv. (.ehat will be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of 1u ;d;gk *trem/bk/qf/edq9 ua wave in the string isd/r e*b/gk;/9qfde uqtk;u1m v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. -fztg xt l9.i34 bndl.As an S wave travels through the Earth,t.9nz 43 flx. tildgb- the relative motion between the S wave and the particles is

  In seismology, the P wave is a x*.w qgt, b4rclongitudinal wave. As a P wave travels through the Earth, the relative motion between tb rct.wxg*, 4qhe P wave and the particles is

  The intensity of a wn g*pkq+ dluz xf))z-9ave is

  A wave pulse traveling to theq,k 4x7my7k 0du rmg7e right along a thin cord reaches a discontinuity where the rope becokkdqe4 m 7myu7,r0 g7xmes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string, onek6;aahtfq .x+ is traveling toward the right and the other toward the left. At +kah6;t. qxf athe point that they occupy the same region of space at the same time

  Two wave pulses pass each othck/q12i bk8 j :jfk9eg8mlwl+er on a string. The one traveling toward the right has a positive amplik2b8 8jlklqek+: 9gi1cf /wm jtude, 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 s1g,g us qa )o50rr3fegtring fixed at both ends, occurs when

  If one doubles the tension in a violjog39- w: gggxp tpg8+in string, the fundamental frequency of that string will increase by a facgg8-x opp g3gjg:9w+ ttor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass o c6 *z fu+d- uwo/pcv,c5h5p04kkbogg f 0.600 ppv 5bckzu65w+u-ho4co*cgkf , 0gd /kg is suspended from it?

  A mass is attached to a spring of spring constant 60 wpn.e (55 -kny t(g;wfd0fnarN/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N f5 wrpydt n(e n(na0;.g-w kf5on 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 constanqgm4ib:+sm q- t 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 th:-qsbm+g 4qm ie period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m ab czba tc4d7)(long a horizontal, frictionless surface. The spring is initially stretched by (4dzc7tc )bab 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 oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscyb ei (0/z:*fwt(ayoj lqq .r8illations in 5.0 s. What be(w.8qtz0j y forqi* l:/ya(is the period?

  A mass vibrates back and forth from b(ijj dt-cn+x;:va ; ongjf51 the free end of an ideal spring of spring consbn cij; j:x(;-j gt+1d v5naoftant 20 N/m with an amplitude of 0.30 m. What is the kinetic 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 constansze)i k kw97b 2 f8jf:/zw5rest 20 N/m along a horizontal, frictionless surface. The/ biw ejz9z fekw785r:2)kfss 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 c zz5v37l aem1with amplitude of 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 energy of the syzl3vema5 7cz1stem now?

  A 0.50-kg mass is attached to a spring of sprinaywdd.s +d 4;aqh u7m.g 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 the amplitude of vibration?d.y d.da7 qm+a;uw 4sh

  A 0.50-kg mass is attrug7qjl ;m 8 u4:+i866t sxdj w8ctzulached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in :j68rz ul8l6 stw487u;xucjq i+d mgt 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 5hy 9xyf1e4ltspring constant 50 N/m and set into simple harmonic motion with x4 yl5y9f1ethan 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 horizonkv8j/w *ibh ll2/)nvntal spring of spring constant 50 N/m and set into simple harmonic ln/*l 2h) vw8iknb/jv motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from t 14y/5pxpso hthe free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this v5x4/p y s1pthoibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from s:) ,ffgs 7ziatwqn(5gqw3r5 its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass aws: 7g5s5q,wft izf3 q)r(ng had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a sprpui *,+d5f ycsing of spring constant 10 N/m. The object is d,pdy c*+s 5fuiisplaced 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 o+x nnk 9sh24be+aqstt 11b9 scf spring constant 10 N/m. The object isthsea1 b9kq +c +4s2xnsb 9t1n displaced 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 e py ws*;/a6as+ wrb2kspring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequsawp ;b6keya+r/2*ws ency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when dd8,sl(wn 0smdisp8,nm(dl0s sw dlaced 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 springs. Mass A vibrates wibr,rfmpe9:r , 8s grl)th amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates )9,s,eb grlr8rmpf :rwith 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 suspqm 7 4t 7+xnxukz;4ksnended 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 releasedux4mkt7 xk+;qn4n7z s from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended onu+fwq/ p8) qlwths8 3k+)v(ieg2v fcg 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 releagl ) c/wq3vig)fkp+e v( 8w2+ft8suqhsed from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches t(o)(rnies;v -9rayxj6h ( c nyhe spring 2.0 cm downward. The mass is then pulled an additional rejsyo- xy)c ; 6i((nnrva(9hdistance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the fol2y ewbz8m6y6 rlowing position versus time equ 6yrwmbez 286yation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following positiouw6 o a1jw6jky;;tmd 9n versus time equation:y9j1dw; 6 kuwj6oa t;m
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motvvd 68-adxhd; z74jb)baznd. ion obeys the following position versus time equatio )aahd;dv vdd8jz x-z7nb.b6 4n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the fbp7- bs+f:szfree end of a spring executes simple harmonic motion according to tz:+sp b7s-fb fhe 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 force hjangl mn13kpxg5mmj.t4evy:7 6s5 4 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, th :. s5 k1 jt3p5vejm7m64m4gynxa lhnge 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. 0b3)vp;(vetwu w p8v-ck k:rz (a) What are its frequency and pervuk;bvvw-w0rk p: )zt 8 3pe(ciod on Earth?

  A 3.00-kg pendulum is 28.84 m long. Wha)dl5bbr6,e1lhfq( g bt is its period on Earth?

  A pendulum has a period ofxw:w gr zh8o5. 2.0 s on Earth. What is its length?

  The pendulum of a granexqm:3,rp.e,u3lj eecbyt2oh) 1z :vdfather clock is 1.0 m long. What is its period on the Ear2ve3x, mlzou bq.ectj, e yp1e ::)3rhth?

  The pendulum of a grandfather clomi ex/, vwlph4ze.(+kck is 1.0 m long. What is its period on the Moon where the acceleration due4 ,. /+vlkz pmw(eheix to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless sdds)plne g 7++ uqr2oueh j,,1bgdl(:tring. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth w 2)rj gd eu, 1n(s,lbo+pled:dhq+7ugith 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 ru6tn3d iax6wvk 744jof a 20-g mass has initial angular displacement of 8.0e. It oscillates with a 6 4d64jnwrxv3ta7 iku 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 wave at a given timenx pn; /kr nwu)wbi6m30 r (oau,vbq4,. The frequency of the wave is nv0b,k)qp boi,u rw4 3m( na;6/rnwxu120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency 3 hrcr jxpa(7f*vg2v( of the wavh2prav xrvf((* gj73 ce is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency off9l qff -w;n*8x(m0 3bym cfdt the wave id qw-x 0n 38f*t;myfmf9bclf(s 120 Hz. What is the wave speed?

  What is the frequency of a wave w hedde8vq2 c-0hich has a period of 6.00 ms?

  What is the period of a ga;8l -e (42cch l;xmtt o5y.p3ddzh iwave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelength of 3v1 ikk9x+.*bzgkly 6ow,y gx5:qe 4qk .0 5 gwi1+qlqke:x,.z *4k y oyk9x6gbvkm?

  What is the velocity of a wave that has i 7zx*l+h9ipvd8 -ycra wavelength of 3.0 m and a frequency ofc dih7*-9z rip8l +xvy 12 Hz?

  What is the frequency ov7iq6l b fq9;ntpcs. 4f a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is unde i9:-q m deho.hz g,n gmctxn-to;m27*r a tension of 1350 N. n 9x;- cog ti-dgm2te*:.,hzomhqmn7 What is the wave speed?

  A string of linear density 6.0 g/m is under a tension of em +;ri9vuf+e d3hhw:2rcm p+180 N. What is the velocity of propagation p+9hedim:;u vrm++f2hecw r3 of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire 1+b8ov whxvxt) p:d *nwhose totopx)x8wd1:t* bh vvn +al 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 string* 3vi cp blrh0f.3k.bq fixed at both ends 0v.b crf.k *qphil3b 3is 200 m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fz *p0oi)(of l) ;9vl.zhg 4sm f4lburdundamental frequency of 500 Hz, which one of the following frequencies c rogbhi9lu*z0) vsdzl;44 f ) plf(m.oan set the string into resonant vibration?

  A stretched string is observed to have four equal segmen-r 0 v8mmz l*z,yl-vwgts in a standing wave driven at a frequency of 480 Hz. What drivin-,vg zl-8 rlzw0my *vmg frequency will set up a standing wave with five equal segments?

  A string, fixed at bot (/ls giuzfo.e;:z 5gsh ends, vibrates at a frequency of 12 Hz with a standing transverse wave pat;sg g(:o f/5zseiuz l.tern containing 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. What shogjv o ip90/5h2q8ddhb5cl 4yto1 bi 9muld its length be if its fundamental resonan5jymlh91 4 0q5pbhi/o c8dt oibg2 9vdce frequency is 220 Hz?

  Find the first three harmonics of a string of linmq ko- 7c 6fz a/m:7inpx2sw5year mass density 2.00 g/m and length 0.600 m when it is subjected to tension of 50.0 N.ozpym5 wxfsk/ a67:n imcq 27-

A string of length 2.5 m is fixed at both ends. When the string vibrates lo(, ckc9nls*at a frequency of 85 Hz, a stand slokl, c9c(n*ing 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.