The time for one cycle of a periodic processxc18ny:l .5hf8nuftw)8n9y k:qfk k l is called the

  For a periodic process, tpr 406pl. .pppt1udmg2)xxtx5vi i, f he number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equillgf d1y*,(vu c-f l4fjibrium point is calgl,d4 1(fjy*f- fulvcled the

  A mass on a spring undergoes SHM. When the mass*bgmsps (fdav 95dy xb.+;2vro jf.)v is at its maximum displacement from equilibrium, its insvsj+.x *aps . ybm;) vb9(odfdgr52 fvtantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes4tsa y /68zhjw through the equilibrium positi6 j8shtwya/z4on, its instantaneous velocity

  A mass on a spring ua4n-wk u2u l-bndergoes SHM. When the mass is at maximum displacement from equilibrw-u bu nka42-lium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betwe/qr pvq7p ,t1aen points A and B. Where is the mass located when its kinetic e qpqav1r7p,/t nergy is a minimum?

  A mass is attached to a vertical spring an l.isc*e0xub5 t h0 s5r6nopw7d bobs up and down between points A and B. Where is the mass located when its kinet5elohrnb .0i tuw5x06 scs*p7ic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and d(zz (ku jv,dyw8pd .:qk7 x-udown between points A and B. Wd7k-,d( p xuvwk.jz u:dq8(yz here is the mass located when its potential energy is a minimum?

  A mass is attached to a vertical spr( vas 1s,:79pr aw0zef nqwz:bing and bobs up and down between points A and Bapn 0,wvq zb1(zr7as f:w9:s e. Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mas: 0p:2a mcogjbs-and-spring system produces what effect ompa: g:20ob cjn the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what effecmkr39gu/) va q8/ nby: ymlg3lt on 3l 38u/ vqyy: l/ranmbk9 mgg)the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system 0e04g2 vpu0 hkt iek9iixe9s7 produces what effect on the sys 0u2p0h 0ietese499k7ik vg ixtem's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moi*6a 6ll czl-bon. Where is thelc6l* i z-la6b period the greatest?

  Increasing the spring constant k of a mass-and-spring system causes what kind o 0s- fkt8(pztgf nm.k4-.em nef change in the resonant f4n.8k fzen(-t0ms tfm-g. pkerequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and--vaw,*/mwucf5 q mu b: vuc0n;spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the sym vcuc0;a/5 vn ,u:qbm-fwuw*stem's spring constant k.)

  Increasing the amplita*o6rrf ld/ec2:uq03s 4xnhe ude of a mass-and-spring system causes what kind of change in the resonant fr2qo lnue dhxraf06e c/*sr4:3equency 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 consx x.:m gg 3s+k,;s8djm dkv6mpp)ir*jists of a mass M attached to a weightless string of length L. For this system, when undergoing d8mik .; rk,vsg6s+*3 x mgxjm:pd)jpsmall oscillations

  When the mass of a simple pendulum is tripled, the time dyzr6 (;u ): ej8;uuc2thvuoz required for one complete (u6r;y t2:vezuojuc;z8) udh vibration

  Both pendulum A and B are 3v( ew37or u m/s y/z)d+1ylfpj.0 m long. The period of A is T. Pendulum A is twice as heavy aswp7 lvur)3ym y1d/eos(z/jf+ pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time fory g069t lf f-r;e1l u8rlv.uxr one complete vibration increases by a factorl9l8l .t6ref-uf1 rxg v0 yur; of

  What happens to a simple pendulum's frequency if both it a3a)+2hppwah s length and mass are increased? a)h pa3haw+p2

  Simple pendulum A swings back and forth at twice the frequency of dk ;/sx87z0 rw brdc+xsimple pendulum B. Which statemens/bw7xdd+x c 0;r8z krt is correct?

  If you take a given pendulum to the Moon, where the azg*q* :6pmtnne/ y dxc cn,:1ccceleration of gravity is less than on Encpzmg16cc**t,q: xn ne/d: yarth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repgptr9mwkj2+y 6hap ph w- x):*resents

  Curve B in Fig. 11-1 represe*6 ur4qeiae a9ju c6yj,o/ i5jnts

  Curve C in Fig. 11-1 repk mr662ucjl fq :f3hgw+tb/*xresents

  For a forced vibration, the amplitudj8qn a;ou a 5;pxm46wze of vibration is found to depend on the

  In a wave, the maximum displacement of points o0 m -n -rzc82y(dsougrf the wave from equilibrium is called the wave'sr -mgd-r 0c2syu8on(z

  The distance between successive crests on a wave is called the wave' ah )rblcakz .dp904d8s

  The number of crests of a wave passing a poinnu2 l0w0/ ybqct per unit time is called the wave'ly0/bn 2qwu0cs

  For a wave, the frequency timesu)oo 72ue3gb) yx hgs 1w4mtm2 the wavelength is the wave's

  The frequency of a wave increases. What happens to the distanvw;2i:e :lsi .2piyxz bjqc);ce between successive crests if the speed remainsxwl;eb)zj.y i 2psi:q; :c 2iv constant?

  A wave moves on a string with wavelength l and frequency f. A secowz)w gq-w (2qlnd wave on the same st2 qzw(wgw)-ql ring 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 tension T. A sta i0pamo8ij 3qc -;/vdfnding c j; ao 3ifvqm/-i0dp8wave is set up. Which of the following is true?

  A string of mass m and length L is under tenz*3 fv d3e 9cgtjib1z;sion T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the 3vbz3 9igd; czj f1te*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 ind id(3aqj i2:m the string is v. What will be the speed of a wave in the string if3j2(ddqia:im the length is increased to 2L, with no change in mass?

  A string of mass m andovh x4lmctr 4/s2 *0dj length L is under tension T. The speed of a wave in the string is /ro l4cds xv2thjm*4 0v. 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. As an S wave travels throughfrue ow6o)f: 9o co5+n the Eartn5cf6o) +oorf: oewu9h, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longituqv +8 m3agbl*udinal wave. As a P wave travels through the Earth, the relative m3u+gbvl*m8 aqotion between the P wave and the particles is

  The intensity of a wavei3yqwo,au20 v is

  A wave pulse traveling to8k3v,h*b l dvwieix; - the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflec38-ek x;lwiv,d* hi vbted and transmitted pulses?

  Two wave pulses with equal positive ampwuge3e a 7vf:wkhf.8 )litudes 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 at te3 vkf8 gw)7hewa.:f uhe same time

  Two wave pulses pass each other on a string. The one traveling towa 7 z7w6iurbus1rd the right has a positive amplitude, whil1 wsr7 u7bizu6e 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 strin jaxv i,a-vu1r59thi d1bma pq8i,y* 8g fixed at both ends, occurs when

  If one doubles the tension in a violin string, th ehuci 6)o:7d o; 8x e7pok(jxb5l+5gdrpzlg1e fundamental frequency of that string will increase by a factor o +dp5pjob g57h ;x e6 koux:8c7id(le1o)zr glf

  What is the spring constant of a spring tha c5k*s5m0abf) o 32lyarocqd8 t stretches 2.00 cm when a mass of 0.600 kg is suspbkd 52aa 5q lc 0om)8sco*y3frended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal,qe); s(tvh, yo 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 ohet;)ys( q, vequilibrium position when it is oscillating. What is the amplitude?

  A mass is attached tfxm-:* aht a2ff.bfg* 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 mass 0.50 s to go back to its equilibrium posf*fb*:ahf-a.f txg 2mition when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 Npn4igw/n; vh40 f7kp:svx 4au/m along a horizontal, frictionless surface. The spring is initially stretchedsp/;a70 4 vkih :pn4unfgv w4x 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 oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complvilb .(3ny*ulete oscillations in 5.uv3inl (y*lb.0 s. What is the period?

  A mass vibrates back and forth 3lms)he ela n.; cp4b)gp)o n:from the free end of an ideal spring of spring constant 20 N/m with an amplitude n l) leao 3mebgsh)4pcpn):; .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 sprin cnmmm (ly:,-pg 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 the total energy of the system l(m,-:ymnpc m?

  A mass undergoes SHM with amplitude of / jj0b/)bdpvr*cajgm+m y+ u9 -jlxf54 cm. The energy is 8.0 J at this time. The mass is cj /5um0lybpdb-/ aj m9xrc)v+j+f* jgut 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 ejuo/d*0r)zlk2s7vl : fxk w:v;x-jnto 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 the amplitude of vibratioe dv l)o:0k2j 7: ;xvrzjsu-nlk xf/*wn?

  A 0.50-kg mass is attached to xt .wbjul7if6 t w1jv,.;k ri7a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a,t7ix67 k wu jij .;.1wbvlrtf 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 uz v0bqofqp5 65pyg9,pp s .g4spring of spring constant 50 N/m an5o5s,p.g g v4p0py96qbuqpfzd set into simple harmonic motion 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 c)y lrxm9k(x1xku09u er6pwmc o k32 3honstant 50 N/m and set into simple harmonic motion with an ampuc9lpk()63u r oxexr3m9 yk0w2mx hk1litude 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 sjcbcmxnby+ b6 v: .ru*6 en9;spring constant 20.0 N/m with an amp; xb*bsecbyum .c 6nnr :9jv6+litude 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 itjyxfjd0inw4, t9qdka o i(5 2,s equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the 9 iqkjtdfd2 4w 5o0(ax,inj,ymass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10n fbdz 8e5e,d:.l9ggq N/m. The object is ed q 5z9.eb8fl:gdg,ndisplaced 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 ofp szqi+kg 6 hwyk79*9v spring constant 10 N/m. The object is displacev qkk +99zphsig *7wy6d 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, disp-ng h2y -+se5uw 2kygclaced slightly from its equilibrium position, and released. What is the frequency of its vibratgsyk+e -nwhy-u5 cg22ion?

  A mass is attached to a spring. It oscillates at a frequency of 1.278wb)lu y*twi/+sjd9w4 scn2z Hz when displaced a distance ofc w/uszt89bjid s2wyw n*4l) + 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 s8tnj d2 kxv*5tprings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates wjt2 *t85xvkndith 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 ojs+f e2(1hweh n 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 released from rest. Calculate the period of oscillation( e21eswhhj+f .

  A 0.30-kg mass is suspended on a spring. In equilp+ l8zs(vcn,+;ja yfh ibrium the mass stretches the spring 2.0 cm downward. The mass is th+p;h+ ,f8c lvj(yzsan en 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 spring. In equilibrcfc8 rc*ah5, oium 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. Writf,*cac 8oh5cre down its equation of motion.

  An object in simple harmonic motion obeys the following position ver y9tmy k8c 349iy inr:oz8-kiasus time equatiokyk :zirm 83yi-9tinoyc 94a8n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position v /9ohgf sf.jx)v-av y7ersus time equaxgf9 y)v.oj7hs-/af v tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys +7oqk 60deg g4c3.tfge /h2pkttrb;h the following position versus time equati/ 2bk; fgdrgh6ehtcg koe30qtt 47p+ .on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of avx7zms,06. wu6:yumv o )emqy spring executes simple harmonic motion accordinv7),m0zwq ove66uumxy . ms:yg to the 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 :. z0zdrr/cqhforce constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is/dr0.ch:rq zz 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 sv eejih4:v4nx8 atg a y*144ugwings in 8.0 s. (a) What are its frequency and period on E egn:ej* a u4vhvx4g1ti84 4ayarth?

  A 3.00-kg pendulum is 28.84 m lo47suwb/ht bm e:(3fin xuj e6)ng. What is its period on Earth?

  A pendulum has a period5qmvr 5ck;vw /d6djb y8z9ak0 of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its 6dwn3spom74cjd .t (,os vbi+period on the Earth36.sbptwj o7 , o4nicd(s+dvm?

  The pendulum of a grandf 461zvsb b4nfyather clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is oz bnyv64 1bs4fnly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless stx(u; 5bq i-bbrring. When the mass is displaced slightly from its equilibriu ;q5bub rx(-bim 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 divxmlg; :t 34 pb;etjb9splacement of 8.0e. It oscillates with a period of 3.00 s pg9btmjlv3 be ;;4:xt.
(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 it :lsd 8cv+ on.xuvbwb/40,k given time. The frequency of the wave is 120 Hz. What is the amplitubil b,v+k0 84ovx.: n wcuts/dde?

  Figure 11-2 is a "snapshot" ofh)7*- cesqsrpsp) 0ie a wave at a given time. The frequency of the wavesp*)eci)h-7q psrs e0 is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The fre.xzuee zl2kexgt9o k :,;:(mlquency of the wav,xe 2;:lx:lztu eke9omkz ( g.e is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period40cqfjgap s02o+ ;yw)o h(pcw of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hz+lb:hqam1l ye m)q,nh62( tyc?

  What is the wave speed if a wave has a frequency of 12 Hz v d;su5e 1 iaym**7qfmand a wavelength of 3.0 m ;sqy1 i*m a7e*5ufmdv?

  What is the velocity of a wave ss kko; z3k6tp1f9euny-n 82xthat has a wavelength of 3.0 m and a frequency of 1 t92 ku 6y-n18zskpfnxso3;ke2 Hz?

  What is the frequency of a 2.5fgnq3ci i f.l,k a0/ ,(tmkly8unqf.3 m wave traveling at 1400 m/s?

  A piano string of linear mass denshq)h *e-wx+zlity 0.0050 kg/m is under a tension of 1350 N. What isq-l)wxz*e+h h the wave speed?

  A string of linear density 6.0 g/m is un kqr8pee54iddxf70rcy 3eb8f( u qe.5b*ian 1der a tension of 180 N. What is the velocity of propagation of transverse waves ayf3 * rked bpirdfe.i7(8acebq uq 1ne5480x5long the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whos.ofnvt5+dfpamq yt0 b6yqu nj-+.9b.e total mast5dq q. ytyfmb- apnub0 6+n.f+jv o9.s 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. . (l9dr;dgedu0-m long string fixed at both ends is 200 m/s. Which one of the followl(gddud9; e.ring is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 H,f mwb*(9- gpa.krc 8fi8 vzlnti7u f/z, which one of the following frequencies can set the string into resonafn,w .z9a7ubrk8 g- 8p*(mifcfit/lvnt vibration?

  A stretched string is observed to have four equal segmena n. xc;)hzq ss .))nqi-ch)cjts in a standing wave driven at a frequency of 480 Hz. Whqcn ncs- c))jhx ).is.a;zh) qat driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with ahf 0 9oj7bsi0+/rh ngx standing transverse wave pattern containing 3 loops. s 9+ix/7hhbjgf0 o0 rn What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5sxed:x5zb6r0 7avo:eqea ; lp0;u:c y g/m is under a tension of 20 N. What should its length be if its fundamental resonance b: xz0;av7puyo ces;lq5 6 xe:0rea:dfrequency is 220 Hz?

  Find the first three ht 7qq5f svz)7 mpmk4u,armonics 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 N.5tf kq4u, q7mv7pmzs)

A string of length 2.5 m is k(5q pw :hmcw 4eapnv27*8bjmfixed at both ends. When the string vibrates at a frequen8pwcw4 5q mv*apj2 :7hnb(m kecy 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.