The time for one cycle ago a+6w-sbvhbn-v6 xq6d/5s ni.z5r of a periodic process is called the

  For a periodic process, the number of cycles per unit tim1n fzk,uqka,2z;2m kh wa9fg:e is called the

  For vibrational motion, the maximum displacemenz2d g oqexn;t0al -7,s64qyizt from the equilibrium point is called the06ea2 x, nq;7 qgy s-lzo4ztid

  A mass on a spring undergoes SHM. When thew ohtmc/:5xf1i 0xt; e mass is at its maximum displacement from exhoe i ;5t/mcwxf0t:1quilibrium, its instantaneous velocity

  A mass on a spring undergoes ( +kqbluwmd b5n1n4:o SHM. When the mass passes through the equilibrium powno dluk 1(bbq5 n:m4+sition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displacement 3dnssp/v r(a;from equilibrium, its instantaneousrd;vp(an3 s /s acceleration

  A mass is attached to a vertical spring and bobs up and down between points 5fp t 3mpbjdhaluf) 12*2w5jk A and B. Where is the mass locatwjp5m2 laf3k pf uj*db) 125hted when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs xvay (xw9- i ba4l(p ep)r0h0uup and down between points A and B. Where is the mass locate4x-eraavlwu bh0 (p(p )ix09 yd when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down frz(bh5+--b/w podhd (tdsz6 between points A and B. Wher/hbo r+( zpd5 hdz wf(sdb-6-te is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bpgmjdib1) (gft f ;13vobs up and down between points A and B. Where is thmv;jgt3f 1bdf(g1 ip)e mass located when its potential energy is a maximum?

  Doubling only the amplitude of a v3 99x*f e)i4x aponpqyibrating mass-and-spring system produces what effect on the system's mechanical 4ppn3a fxxyq*) 9e9io energy?

  Doubling only the mass of a vibrating massksa,s, n .lj+9,ha m4 z4viobq-and-spring system produces what effect on the systsoj vkq sn,ha,4.l,4z +abim 9em's mechanical energy?

  Doubling only the springl. xw5/qj:n qypxry ;. constant of a vibrating mass-and-spring system produces what effect on the system's mecx q5 .;pj.r lnyxw:/yqhanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wher+ofodu-o x..w )uy s)ve is the pe)uuf-. oosyx+owdv .) riod the greatest?

  Increasing the spring constant krlg)o9hxj2n1:p z e3c of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no chcg1 pze)h3lo9 :rn xj2ange in the system's mass m.)

  Increasing the mass M of a mass-and-spring system cauln23s5 on b;ijses what kind of change in the resonant frel;2oj3b s nni5quency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring sys)uznevmob-qb oaym*6)6k8t0, :ii lm tem causes what kind of change in the resonant frequency of the system? (Assume ntl)n:uo 08ki6ymmizabo, - be )qm v*6o 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 t, 8l fhh.ck+tM attached to a weightless string of length L. For this system, when undergoing smat+ctkl. h,8f hll oscillations

  When the mass of a simple pendulum is tripled, the rpz8:j8ua o 2p sy)+ej-l)usatime required for one complete p)su+yerp8s-j) oa j 8al:uz2vibration

  Both pendulum A and B are 3.0 m long. The periup.p1;6 zvzyeod of A is T. Pendulum A is twice as heavy as pendulum B. What is the peripzyuv e .61;pzod of B?

  When the length of a simple pendulum is tripled, the time fo)wv;.7s jxibutm u 1) 6qggcejo(/4f rbf)r+zr one complete vibration increases by v /.fz)b( re1+)gf6s to7imqjju rux)4 cwgb;a factor of

  What happens to a simple pendulum's frequency if both its /s ,q loog,7h/mewis 3length and mass are increaseds owh7imslg,3, /oqe/?

  Simple pendulum A swings back and forth at twice the frequency o eyjblo13pw7,f simple pendulum B. Which statement is corr73p y1oe,lbj wect?

  If you take a given pendulum to the Moon, where the acceleratioap x2/47z4c muu7-nb:j)ucc eusaph) n of gravity is less thaj)xc c ue4)pan-:uahmzpc7 b7/4u2u s n on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 rep)q9j vzmu z//presents

  Curve B in Fig. 11-10wt+ uexj00ie;hxhf - rxax;, represents

  Curve C in Fig. 11-1 reprv6933snt vzk)y9xu l resents

  For a forced vibration, the amplitude of -p+3- pk; )/dn uqaaqstsh6fvo4u ye) vibration is found to depend on the

  In a wave, the maximum displacement of points of the wave fv58ai 79lce;y umtgi2 )ekgg 8rom equilibrium is called the wave) ylc5akge7t9gi;vi82em u g8's

  The distance between successive crestsrk h/ 1u+ 3kl*dpp-y)qvwka z3 on a wave is called the wave's

  The number of crests of a 8cn .s0iv o znp/u15z6jiyvgqnxa(// wave passing a point per unit time is called the wave'yn( gi as6/x uv/p1no v0n8/jz5z.qics

  For a wave, the frequencyzgq,ew+xw /.e+mhil5 4kguy .a vp0 7y times the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance between3u)ngk o9 (/z r3 qzeq58bwylf successive crests if the speed remains yw o/ez)nkqb 8 (5lgr 9u3fq3zconstant?

  A wave moves on a string with wavelength l and frequency f. A second wav t:8r4dmwako* e on the same string has wavelength 2l and travels with the same velocity.*a d:mrt8kow 4 What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A stame3j3nx om6ld n(v;, nl j)i u*j k/ffj:jm;q;nding wave is setfjmf;k/di 3 3njm * m:e (;jou;q6jln,jl)nxv up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wave in 3j0wtc s*/e9x 0a bxylthe string is v. What will be the speed of a wave in the string if the mass of the string is increas9tay j3els* cxbx/w00ed to 2m, with no change in length?

  A string of mass m and length L is under tx 7d/svf ;s6jpdz7vl fy /3*btc5 (.bvt4cpbeension 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 incree/scfbf jd vzpp*c7 .t sl vbb dtx;(v76y53/4ased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speedt+id/qyh lg36/ d;aqj of a wave in the string is v. What will be the speed of a wave in the string if the tension is increased to 2/a tg+;iqjdqd6 3yhl/ T?

  In seismology, the S wave issrph;olp+z6k +zou39hjy e33 a transverse wave. As an S wave travels through the Earth, the relative motion betwep+lz3 r3o u hz;+3ykspj6hoe9en the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels thr ch*)bp) ,sz;m84kx4 wpi bl98nhtzcmough the Earth, the relative motion between the 84k)m*cbwpcl;)zsithb h xm,p 8nz94 P wave and the particles is

  The intensity of a wal7a ,mrab,2e ave is

  A wave pulse traveling to the right along a thin cord reach+oy)08x 5wb0c + j:u)ha.gwp syjpe.c ksm2fhes a discontinuity where the rope wb+e: suso).52yf.8k+jphyp0x w )h c mcg0a jbecomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses withgvb2w b)(ow,fk;yd3d equal positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space d3w2)f,b;v d(gobwy k at the same time

  Two wave pulses pass each other on a string. The one traveling toward the rij qvs90+9- gu.npc,r krj lw4aght has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative directi9 s9a 0pkv ujq4.g ln-j,wcr+ron. 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, occurs whe/l;pg ;vugz .upy d)r+n

  If one doubles the tension in a violin string, the fundamentalahkm (jh6 /w 0ec8vp)w0/gmjs frequency of that strin (mv 806a/hwjsjw/g)e kc0h pmg will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a mass6 /3g r/ius pecf(y ,:thro;oc of 0.fo3,6y/u/screr oi pch g(;:t600 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fri8lr,t3rqg:t vctionless 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 oscillatinlv qr3,t8tr:g g. What is the amplitude?

  A mass is attached to a spring of spring consxt28dgm(y mr t k,x+n 7qj98q89n czygtant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0rx9qcmyxt98q +gj nzmn 87kg,(t 2yd8 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 7po6kl9*oy) rlxu*.z 6ggebrspring 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 m o6xr7gp.)6* ze *byugklo9rl ass 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 undertdqo7l+zc 5/egoes SHM. It goes through 10 complete oscillations in 5.0 s. What is t+7 oq c/et5dzlhe period?

  A mass vibrates back and forth from the free end of an ideal spring of springcg)asf0 dmm)) constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when itam)s)0)m gfcd is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 ttd c4g8 .8st4dco8fcj/cu -cN/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. Whato dc8c8fjus.cttcc g/ 8-t44d is the total energy of the system?

  A mass undergoes SHM with amplitude of 4n/d7oeyo.*n f*w .7kxnt 4xyxmmjv(9 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 nnm*xo y79 d(emwjf./*vx ny.xt ko74 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizon icp0,t aalb,9tal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium pob a0i,plt ac,9sition. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m a+zr/ai 99zqyulong a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1i qu/za9+y rz9.5 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 te7/8g 9 sy(hcbx2zz xhhe end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this systeg8 h(z9heb x/sz2yxc7m?

  A 2.0-kg mass is attached to the wv 3pypq+zcrr 455k-dend of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude 3qpkyp+vr5zcr5 dw4- 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 springa hvgt)k 7c3o1faeordf868d- of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy- d 8kcd3h6fa7 e18gora)tf vo of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium po8c qx4:fcz/tocd g58 fsition and released. A frequency of 4.0 Hz is observed. What frequency would b qg58/zxctf8 of: dc4ce 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 constant 10 N/wnsze )ct2rp. /aztx x2c/.f6a-hu y8m. The object is displace/.uztae c.a/ zyf- cxp6s 28w)hnrt2xd 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 of spring constant 1 rst(b pivw8 *1/agut+0 N/m. The object is displ g+t8i wt s*(u1rpvba/aced 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, di, t-ny7ww-w4hjxo):o*ap/dk dcq, x xsplaced slightly from its equilibrium position, and released. What is the frequency of its vib t ay-hwdjqx/x:xw*7wp, d 4coon)-,kration?

  A mass is attached to a spring. It oscillates at a freque;)7judihkw 9uncy of 1.27 Hz when displaced a dista whku)j 9;iud7nce of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attache-jw54i3 4l; omc8mt4eyg qfwvd to different springs. Mass A vibrates with amplitude of 8.0 cm at a fmj qgwv;4mf4c ye-i t 854lo3wrequency 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 onr)wmsi a:yg :/ a spring. In equilibrium the mass stretches the spring 2.0 cm dowgr:sa m:)ywi/nward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spr9jm9izwb02 2 wv3o peua7jeq0 ing. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm9w 2oaq0e2eipbu9jz37mj0v w down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium tho2 /0gi 1uj4njbax7l7p-je ku e mass stretches the spring 2.0 cm downward. The mass is then pulled an adu/le-14upbjnji7 2x0 k7jog aditional 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 versus time eq9:1uxjf6i / c okt.plouation:9u/kl. cif t6xpj :1oo
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus timhd)zhopdf b z7p:)ngzj 11 h5ag6p35ce equati)bhddagh 67o1fhn15zpzc3:pg5 p)j z on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus taoq+++hlb0juix bl rj3.w2ry 0yz;7v ime equati3r jo.ba+rb0 0+vq; ly zx2u 7yhwlj+ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mn0 axt1dg/0d8yv3uky otion according to the equatioy 0 nga8y kdtdu/v03x1n $y = 0.50 \; \sin (18\pi \times t)$ 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 constn * 2 ew6ee7;iinjok;iant of 20.0 N/m oscillates on a horizontal, fr27o*wn ;j6 ni keeii;eictionless 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 frequedz r+osr;e h oc)zy6)0ncy and peho)6;ero )yc+drz0s zriod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its peri p w . cn*)q7ooibzzj4dx2skp8ia+f51od on Earth?

  A pendulum has a period of 2.0 s on Eartl9naw07 78ywywk t3l+ bm jod -ivj-6gd nj93xh. What is its length?

  The pendulum of a grandfather clock 4ay.lfev y19pis 1.0 m long. What is its period on the Earvyy.1ae l 4f9pth?

  The pendulum of a grandfat08l l ukm:xd-9k v0ngfher clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is onl8 vl0g-0mkkf nd9 lu:xy $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-anv-r+1ad l ,/-nfm deux zw* (b73rnkkg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibd z( nmd31rl nrvbn --ae+ x/fukw7a*,rium 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 mascs8 9wi)x1 ej+2ngm,w -ek xets has initial angular displacement of 8.0e. It o+e9exe2swg 1k j8x-,wc itn m)scillates 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 "snapshoti9 ce2iv 6qe3 1uj1r *t:hqrlm" of a wave at a given time. The frequency of the wave is 120 Hz. Wee12rhrt13:i c6jvqiul9 * mqhat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given tim4qy. y93*n bhi pt)m mh-zx3dbe. The frequency of the wave is 120p qbydx9imt m nh.y4h3z 3*b)- Hz. What is the wavelength?

  Figure 11-2 is a "snapsh04ftd/ 4 rtdnkot" of a wave at a given time. The frequency of the wave is 1204/ndkd t04rtf Hz. What is the wave speed?

  What is the frequencw;)o3 lrxai( ky of a wave which has a period of 6.00 ms?

  What is the period of a wave with a fz6b ;iw9;xwc dcuoamrr61a l5-: p rl2requency of 1500 Hz?

  What is the wave speed if a wa rnes;11y/p dn4r5rvkbaw7 +kve has a frequency of 12 Hz and a wavelength of 3.0 mnvdebr+p/yrkws54n1;1 7ar k ?

  What is the velocity of a wave that has a wavelength of 3.0 md*ai,fnz;:tvjmgc) a4d:- w e and a frequency of 12 H f),;age v*tz4wd m:-nia c:djz?

  What is the frequency of a 2.goa .om (-xgofxe.x6 45 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is ivk+mmz:j g ty-l+1l 3under a tension of 1350 N. What is the wave spe3m iljmy:+ktv zg+-1 led?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is bzbbv5- o.qr 2the velocity of propagation of transverse waves along theq-b2o5r. b vbz string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wiau6k6l5dt e*(ih z)dw re whose total hl(eu 5i *6ad wz6)ktdmass 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 t8nd5w )mya5zj9uclv5 2 mqig /ransverse wave on a 2.0-m long string fixed at both ends is 200 m/s.mnza 8lg/2yudmqcj5 5i)w5v9 Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hzap djk,*ezb*1 eh0xc*e *d5 qq, which one of the following frequencies can set the string into resonant vib **xzdpeqjc, ** qb e5ek01hadration?

  A stretched string is observed to have four equal segments in a standemb/w2x(d d7bo+jdm), niz5s ing wave driven at a frequency of 480 Hz. What driving frequency will set up a bezi(sxb+m5/n 7dd,) oj2dmwstanding wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 p9/z;yr+5vgx s*crt hHz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 hz cp5+rtv9sy*/ ;xgr loops?

  A string of linear denb8g+g lc)vdpv *;y-ensity 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental r)vbg8n;c-l+ dg p*vy eesonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m5sdnqf9 p0;pd and length 0.600 m pf d5s9p d0n;qwhen it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Whent;fm n4wjs.6x the string vibrates at a frequency of 85 Hz, a standing wave wf m.;4nxts6jwith 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.