The time for one cycle of a periodic procev*nu)qvil d -rx(:.w iss is called the

  For a periodic process, the number of cycles per unit time is called thp.u0ibnh1;;fsv+q az*.fkd /qz esp0e

  For vibrational motion, the maximum displacement from the eq yohz ya )5+gn52k4rny0 oqqt3uilibrium point is call5aygnt3qyoyzr5 h +n2 04qo)k ed the

  A mass on a spring underp/ x33c-hui bxq)g,xc goes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneoux xcu x )/q,-gbpi3ch3s velocity

  A mass on a spring undergoes0yj q624kg jho26uk b/i gw6xk SHM. When the mass passes through the equilibrium poy6igq/0 uk6o6k hgx242k jj bwsition, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum displaceme 7d2a6vvu1 iw;kjz0lont from equili ; luva1720kwo6dz vjibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between points A pk 2jzbft 3 ax,d)qy-,and B. Where is the mass located when its kibk-adpqxy,3 j, z2tf)netic energy is a minimum?

  A mass is attached to a vertical spring and o wpcl2upuk 26.lpxc80 rit24bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maxiu2p2t k l2.cwplx0u6 4ioc8prmum?

  A mass is attached to *9f nu))sba4radf .awd 58s0gj p6tzka vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimu ts) f.9k0unjgad5a6pd4r* sz8bfaw )m?

  A mass is attached to a verticamb 0, cu f9ykpda4yw()l spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a maxku p0 y9f(bm)y ,w4acdimum?

  Doubling only the amplitude os-)lbi k -h yxx(fk r6-+rzqdy,yp.n (f a vibrating mass-and-spring system produces what effect on the sys-(inl(x6yzdbs. hyx pqfrr)yk ,-k-+ tem's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spricm.vv n0 1y:*dv*nin jng system produces what effect on the system'vn*cnv* 1j 0n yd.mvi:s mechanical energy?

  Doubling only the spring constant of a via6. drt1gpa- np40tskbrating mass-and-spring system produces what effect on the system's mechanical ene1tg0 .6rd-a t psn4akprgy?

  A mass oscillates on the end of a spring, both on Earth and on the Mb- l:l1 j3xjykoon. Where is the periodx-l:ykj lj b13 the greatest?

  Increasing the spring constant k of a mass-and-spring syakk( a8/gzg xl(ew 1w:stem causes what kind of change in the resonant frequency of the l g /(aa1(kxk:gw z8wesystem? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes whatzwn3cakvy2g8ek5 7s:s 3pe c : kind of change in the resonant fr2p vgck cn8 key:5 es3w73za:sequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causes what7 xms 5m7*fyqg kind of change in mx* g ms57y7qfthe 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 weightless strinidx k+ +r8*qt6zx,xg eg of length L. For this syste t+ e qxx*dir8x6+kz,gm, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one comw( d ;kn3l rezb54tjq*plete vibratio*l ewnqd43rk(;zb jt5n

  Both pendulum A and B ar;l .pfb2,si(axcex 8q *2oryxe 3.0 m long. The period of A is T. Pendulum A is twice as heavy c2y.xx*2s( rbfiloqx 8 ,;pea as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one cogb 4cix)z1ztz/dw. mnak88 3i mplete vibration increases by a factomd18c winx3/t gz.zi )8a4zbk r of

  What happens to a simple pendux )6 -18 (ujvgq 938z.xxermocy1egtevt1pm llum's frequency if both its length and mass are incl1tq1-yv8ozg3)t 9 xcj186(.mree v ueg xpxmreased?

  Simple pendulum A swings k t) v7cy6q2gfback and forth at twice the frequency of simple pendulum B. Which statement is ccgf 62 vk)ytq7orrect?

  If you take a given pm*2lmin +a vqihez+f 0+:4xurendulum to the Moon, where the acceleration of gravity is less than v42ha 0nr+ ex++muqf iiz:l*m on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents bazjz6qsflr 75 8:o:yr d 4c3v

  Curve B in Fig. 11-1 represen zh(21 auu0+9ynccwot f(9kjb ts

  Curve C in Fig. 11-1 representsl)z ,cxfzp0) o+x9v-w2cx5,embpsb u

  For a forced vibration, the amqy.tlwq. g3g9m6f w z.plitude of vibration is found to depend on the

  In a wave, the maximum y+g5vex ub;qw,-wo 9df5o9y-twndm- displacement of points of the wave from equilibrium is called the ww 9+ugw--;w9 ymydqv-to5fd,xe5 n boave's

  The distance between successive crests 5/k; lkp wt.5aii d.hwon a wave is called the wave's

  The number of crests of a wave passing a point per un, swz j 18;plf/rnvt7fit time is called the wave' v/,j7r8wtf p lfzns1;s

  For a wave, the frequency times the wpum,lkco. ic (hl gyq;yrky1v-j8 1 6,avelength is the wave's

  The frequency of a wave.nlvd gzxh;q 6 mjy9+/ ;nd4ui increases. What happens to the distance between successive crests if the speed remainshx;nz nj9/6+dg.vl; my4diqu constant?

  A wave moves on a string with nj w6;ww, y uc7qhzlug4v2+e:6mxmo /wavelength l and frequency f. A second wave on the same string has wavelength 2l and travels with th 6:qw u gm cnw/yw2zxm+7uj,;46lehove same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mat,kr c5mdi3g6p4rh .tv.r o)z ss M, and tension T. A standing wave is set up. Which of the following is truer.mrc v ,5 rd.tipgt)3 46hokz?

  A string of mass m and length L is under tension T. The fkj( kv s/fdp6(a-ac /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 string is increased to 2m, with nosakp/-vk( f(jfa6 cd/ change in length?

  A string of mass m and length L is under tension T. Thems6x .vd jb(c(1ej 3 yvfvqw ,tmy0c;y 35l+pt speed of a wave in the string is v. What will be the speed of a wave in the string if the length is injty3vv6+yl1ct;5md3y scb p ,wveq0 f (. (jmxcreased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a w( grr mlxjb* 6x2mrk,6ave in the string is v. What will be the speed of a wave in the string if the tension is increased t m (2x*66rlgrxjkrbm ,o 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels through thqxp2+t5l3 /o t iwz/o szw7sq2e Earth, the relative motion between the S wave aqpo+s zlo7sqtx2tw 23 5 wz//ind the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels i x0np0trq (chi)g:x,rl:hm *through the Earth, therxxh lm* r):(hnpq0 gi0t:,ci relative motion between the P wave and the particles is

  The intensity of a wave iw1ukme, o9qqcd,dwd) 99 h13 zy;sulms

  A wave pulse traveling to the raimzgc16 6f 8shdud4:ight along a thin cord reaches a discontinuity where the rope becomes thicker and 6sf:u iz c6m8dad1g4hheavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplilvcc ly9p5 +f56lff* gtudes pass each other on a string, one is traveling towardyccf*v+65 ll p5ff l9g the right and the other toward 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 rju iy8b,(+ qbeight has a positive amplitude, while the one traveling towarqie+jb ,b8( uyd 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, occurs wju 9*-b)te.y :rqsnsahen

  If one doubles the tension in a violin string, the fundamental frequency o :oaef.oq7rdx h5cohh+m97b ;:-wlux f thatob ar9h+he:l-7;wcxx. u:h qo o7fd5m string will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm wh mrpa; h46ul9 o/fnc-fen a mass of 0.600 k6p/f- h; ocfmnl 4r9aug is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, fryg: gd5j:rw8k ictionless surface. The spring is initially stretched by ajdgy k8 5wr:g: 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontaur9e5bla s+d ag cn(*a5zh0z/l, frictionless surface. The spring is initiall h9u0lasbna5 +* cz (5/drgzaey 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 period of oscillation?

  A mass is attached to a spring oqg sbs 8: pb,x)iz(e7pf 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 positi)8x bp :pz,b7(es qigson when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SH 3:vl 5gv0wwebM. It goes through 10 complete oscillations in 5.0 s. What is the perioe0bg5wv3 :lvwd?

  A mass vibrates back and fos ncgap5g .;18lc oz*qrth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 s8oac.p51 g;* gzcnql 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 constant 20 y0le/xjpu a8oom r:qz.4e*l8 r 2 9tciN/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibri:0 ct882or. /mqpoi l4eul*rzy 9jxe aum position. What is the total energy of the system?

  A mass undergoes SHM wie78 o.(rjqy fcmhma. 8a(4svmth 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 mq7ha .yfme(8.oa msj v8cr(4motion with amplitude 4.0 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 hyr,(jc;z86yv z ,zdo++usoe 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. W z d++,y6oe(zs,;coy 8juvrhzhat is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring consthdq4l8d s8f *r/a) w/ovc-wc9j qzw v5ant 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. At what location are tvfq-wqzoc 898aw j*d/sw54vr dl)c/hhe kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of springc0*iue c t,*nt constant 50 N/m and set into simpl* i*t,c0etunce 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 springsa: 6hor1 t um-0glen: constant 50 N/m and set into simple harmonic motion with as:l ertnu0-a6g:om1 h n amplitude 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 spring czu9)/j-c+u *nxnt(er4qc. jh / 26nlxm shdslonstant 20.0 N/m with an amplitude of 0.250 m. What is the maxim 6n hl*.jucs4n+ qx/s -tu m)jcx h/(rzd9l2neum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrium po; buwd18 j,zalsition and released. A frequency of 4.0 Hz is observed. What frequency would be observelawz 1,j; b8udd if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attbwgh yiy, cd0: e,muf5m2fa/x2y 7. tbached to a spring of spring constant 10 N/m. The object ifg/ 7u02y 5,:tcy,hb.yxfwmeami2bd s displaced 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 sprinb*+4v vgu ih68:yosutg constant 10 N/m. The object is dispgv 68 v+isbt4 yuh:o*ulaced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hunguh: 0 ibnyvid0y5j /qt++:wfu from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and r d05+yu fjyinhbq +t ui0/:v:weleased. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequencs*+v yvv *n;rx:6r zf ( ;euwylq zk;9xawb6u(y of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and relvk;y;qv 6 r ylu6; 9(vru*(fb+ we*s :zwazxxneased. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different spring. 1tp5u) i v(quizjw ,oag,4qls. 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 i qq15ou.w)p,j4z,l( tvuiag maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium th6 jpp0 vf,qv;ryvygq*:si h5gf 4(4mpe 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. Calculate0i pvpqf4gq(;y4 ,fy*vhmsrg5:6vj p the period of oscillation.

  A 0.30-kg mass is suspended on 8n j/ ofxic:9r(qty.x c shm/)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 total eneron/fi9ct cx). :(m hsyrxq/j8 gy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the8*an bnm (5vao mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and release vb a(a*nn8m5od from rest. Write down its equation of motion.

  An object in simple haixezkga; 7y6z+t5c 4z rmonic motion obeys the following position versus time equatiok4yz+7cezt; 5a zxig6n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple hrug ei 1;u *p5-eq ga. 6y8k7yy6gtsu/mmvdi7armonic motion obeys the following position versus time equationdyg iuegm ya56q gvt.1 k7rmseu6u;*7y /- 8pi:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position ve/yftqv -9 (sgjguv -h,rsus time equation:,s9h y(g-v fvuqj-/tg
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motiw1o)3purc3f*i kd2 vcon according to the equatiouf3drpk2 ov31iw*cc )n $y = 0.50 \; \sin (18\pi \times t)$ 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 oscillates9pvot py3 4,vc on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (t9vycpo4, 3p vThat 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 frequenccibpkzr ) ycnkhc06/ha; 847 hy and period on Ehr / p0icy);7n6 kkhbahzcc48arth?

  A 3.00-kg pendulum is 28.84 m long. What is its permu;c0h yw6m 7biod on Earth?

  A pendulum has a period of 2.0 s on Ear0ye4qt)f v;hjth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the vnk48 ms-9qvb Earth4v nqm9vs8bk -?

  The pendulum of a gr80igos,0sl 4 gttiql 4uq1q/ vandfather clock is 1.0 m long. What is its period on the Moon whereiui08/ 4o4gt qtqs1 lgsq ,0lv the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a ma gcaw2rz/ 7lx8ssless 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 frequency would have resulted if a 0.50-kg mass (same diamarg/wlzx 7c82 eter sphere) had been attached to the string instead?

A simple pendulum consistx1.5moinz 60ptlz) t king of a 20-g mass has initial angular displacement of 8.0e6lop .i z0t)nkm5z1 tx. It oscillates 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 gi s;ed 5x7w+-tdz 0wxa wave at a given time. The frequency of the wave is 120 Hz. Whdtig-0ex;s5dw 7wz x+at is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a 4u-un9: dmjhb9bhgg /given time. The frequency of the wave is 120 Hz. What is the wauh-g:d g4 hm9jbn/b9u velength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of.mfu j5e a(b,d the wav,a.d jmf (5ebue is 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period ofblsje)y35zzzu 5 tr.tx j.j21 6.00 ms?

  What is the period of a wave with a frez)j-jf k(reo/quency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengy dw4g3: aj4leth of 3.0y j:a3ldewg4 4 m?

  What is the velocity of a wave that has a wavelengt xq0dxl)* )4vphcs /b l1rji;xh of 3.0 m and a frequency of 12 Hz?4*irc xjlv)d px)/;01sbh qxl

  What is the frequency f ry607aqy.i dof a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension -eneh gbx-gil3a* c4( of 1350 N. What is the wave speeic gn(-g4 le-heb 3x*ad?

  A string of linear density 6.0 g/m is under a tension of 1/ :v z5chcghgxt5hd3ew wfk.47h6h/q )tnvg: 80 N. What is the velohhw 364h/ vv hhxeggqz)fgt5.w 5kcctd :/7:ncity of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 ;pcutm*ppf9udsz 6 774gs+ bg m is traveling down a 500 m long wire whose tot;7fzu*c9g pb+tp6 u4s sgpd7mal 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 s:3tgc fim4 ze8xds/jxxukjr92/4 mj*tring fixed at both ends is 200 m/s. Which one of the *ifg4 e2 x/8jxz ut9dxksmrc: 4 jjm3/following is not a resonant frequency of this string?

  If a guitar string has a fundazj6aq5(f 9y,nn)uzav nxax( )mental frequency of 500 Hz, which one of the following frequencies can set the stnx u vnn),6 y(jfaq(xz5az9a)ring into resonant vibration?

  A stretched string is obsf ot,ijn fzmsja e-;.*6x5)uberved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving freq; o6 a*.)itmbj -uxzef5snj, fuency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 1 y/1n*b xsqig2z4w-in2 Hz with a standing transverse wave pattegn4*yqsnx - w/ib 1zi2rn 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 o g ep+*8)8ju zl;inz/(fszzhN. What should its length be if is+8z ;n*olef p/iz8(jzg )hzuts fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a ste :cm0je7n.guzlxk565 axwp * ring of linear mass density 2.00 g/m and length 0.600 m when it is subjected to tensimp 6g0 n 5kl*u.cja:z7 ewxe5xon of 50.0 N.

A string of length 2.5 m is fixed at both ends. When dt.+ 3j-ya uz3bpf t r9uf;6bithe string vibrates at a frequency of 85 Hz, ajutfi+-bd b tauy63 9p.f3r z; 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.