The time for one cycle of a periodic process is called tn1kzcr jn0wzd08;,ue v e5.klhe

  For a periodic process/( ut7iuaxaq 1, the number of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibr cbnd+e e79e(xium point is calledb eed 7c+e9n(x the

  A mass on a spring undergoes SHM. When the m4vamsn0vukq+xx 8 ps;8it +1h ass is at its maximum displacement from equilibrium, ip1x+a0 8suthm vsnxk v 48;q+its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibr k7/ o(t6u8 pstzmf zvy2bpdcx1q t):)ium positiop )1ztyzo6t x7: 2fqdpctk( u/ 8bs)vmn, its instantaneous velocity

  A mass on a spring undergoes SHM. W:oc48 hsjr)egs q0z0hhen the mass is at maximum displacement from equilibrium, its instantacg)0hez q s0h8or4js:neous acceleration

  A mass is attached to a verv7st-)ia e a;r, * 7dodzyb4eytical spring and bobs up and down between points A and B. Where is 7edeid-ys )ra7ovb t;4yz,a* the mass located when its kinetic energy is a minimum?

  A mass is attached to ku zw/ b4am3l68t)zkn a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic nbl z 4/3wk6t8u zm)akenergy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between points jsmd: dmu+l-s64 lb -y0t (9:fzj ovolA and B. Where is the maslyvfl l- -(usj+bmd zjm:0 6doo:49sts located when its potential energy is a minimum?

  A mass is attached to a vertical sprinsyk32g7werw 5 t)1lgsc ; s/lhg and bobs up and down between points A and B. 1;syggt/5lk)r2we sh7w cls3 Where is the mass located when its potential energy is a maximum?

  Doubling only the amplitdu:.b7ita/ shude of a vibrating mass-and-spring system produces what effect on the system's mechanical enehs db ti.7a/u:rgy?

  Doubling only the mass of a v l6:q) dx it8aiso**sfibrating mass-and-spring system produces what effect on the system's mechanical ene:s6)xq8aofli tid*s*rgy?

  Doubling only the spring constant of a vibraxga)zb z+)m*b ting mass-and-spring system produces what eff)x*bzgmbz+) a ect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Mo8,b.w4k qco.ta ho+ pmru ec.7on. Where is the pe7t8w,+muo . pk. r4q ha.cboceriod the greatest?

  Increasing the spring conshyu* var(0(4g(f8gukvvn ix .tant k of a mass-and-spring system causes what kind of change in the resonant frequency of the kyv(8(g(0 f xih*nvvaruug4.system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what k)kto. y8e) bt /mo1bszind of change in the resonant frequency of the system? (Assume no change in the system's spring constan o8t etbmb)k.o1)zy/st k.)

  Increasing the amplitude of a mass-and-spring sbiib07 x0laj* ystem causes what kind of change in the resonant frequency of the system? ( 0bijia l0x7b*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 attachn(gzx*5,.9nmkr foz r,dmlb1ed to a weightless string of length L. For this system, when undergoing small oscillrbn n*o m,9zgxl,z.(dfk 1rm5 ations

  When the mass of a simple pendulum is tripled, the time r (1)k pabu,rra kx1 ,fia1yuo-8axl w3equired for one complete vibp1u1 war3irfk xy ,a,)a uoa bk1-(x8lration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pf +pk/jwry q2tdf:c/ (endulum A is twice as heavy as pendulum B. 2:(yfc+w// r qjk dtpf What is the period of B?

  When the length of a simple pendulum is tripled, the time fsb9 c ) nt(zqhx.bim s g,h:la(m2r0.zor one complete vibration increases by a factosmabl,: hmbht( 90 i.zgrs qc)n.x(z2r of

  What happens to a simple pendulum's frequency if both it:/ (ot l)9hel5 cjsjtos length and mass are increaset tcl (ol9j:hj/s5)o ed?

  Simple pendulum A swings gs31p,; ttx 8t:do mxiback and forth at twice the frequency of simple pendulump,xt1d8; m3s ittg x:o B. Which statement is correct?

  If you take a given pendulum to thk1ot4enj y7 h s0:7ltxe Moon, where the acceleration of gravity is less than on Earth, the resonant frequencyo nk 107le:xh4 tjtsy7 of the pendulum will

  Curve A in Fig. 11-1 represen u/c7-.qc7nvc 1wbq-kqxxg,g;vhso ;t3 cgb ,ts

  Curve B in Fig. 11-1 represent wszzjs s bj6) 3tgm2tr;iq+kd3:n1 8as

  Curve C in Fig. 11-1 rep7aha 12uxs:2hssfg 1t resents

  For a forced vibration, the amplitude of vibration is foun6: a18vae x1oh kqu jk4(e/wpi(as8w pmed)o)d to depend on the

  In a wave, the maximum displacemxrf8uc f zbf )a730c+ment of points of the wave from equilibrium is call7 cff8crm3a)fxz0+u b ed the wave's

  The distance between success8fp;aor8on d6ive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called tx1t j)t3pfl3 khe wave't tkx3f )lj31ps

  For a wave, the frequency times the wavelencj ,qepe7m 9 p6w80kblgth is the wave's

  The frequency of a wave increases. What happens to the dqs- ; lrmyy iq;b5(ab9istance between successive crests if the;yby ;5(qamqlb 9-sir speed remains constant?

  A wave moves on a string with wavelength l axh,zro jbx:(ru8 t,3hnd frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequency of the seh8 b,u3xt(rrj hz o,x:cond wave?

  Consider a traveling wave on a strin3ptfv ;yl4s2,vbb e8xg of length L, mass M, and tension T. A standing wave is set up. Which,t;ylbxe 38bsvf2p 4v of the following is true?

  A string of mass m and length 6,zyact lud q.gvb)gb(y5 xxw(t21g3L 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 mass of the striny uzdg(qxlt t v3g5y(6a2,gxb w.1 )bcg is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed a ykc2lb6du5t5f-+ qyof a wave in the string is v. What will be the speed of a wave in the string if the length is cla+f2-y5dq uk 65ybtincreased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a wave xdu-jgofkn2 / 04uo 8gin the string is v. What will be the speed of a wave in the st4d-u fk0oxojug8 gn/2ring if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travnrt-(: totlzdl 1v k9(u7oi0nels through the Earth, the relative motion between the S wave and the par:(uvnk710 t- ( 9ztlrtoiln odticles is

  In seismology, the P w/f 9-yg3q usqiave is a longitudinal wave. As a P wave travels through the Eau-qy9g /q f3isrth, the relative motion between the P wave and the particles is

  The intensity of a wav.7 atpn73y7xqe g z h7brka,tyjk((y4e is

  A wave pulse traveling to the right nm9e h4hr7*igx6or xc2 4d+bz along a thin cord reaches a discontinuity where the rope becomes thicker aeg46mo4rcr x9izh 2 *+nh xbd7nd heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positf3nazbu,;yxhj (x7 *qive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the poinhu z(,x7xyna;bq* j 3ft that they occupy the same region of space at the same time

  Two wave pulses pass each owg 7kteo q mxto(h0*y2 t0rb((ther on a string. The one traveling toward the right has a positive amplitude, 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 tim(( gr0tt7mhwek2tqo( y*0ox be

  Resonance in a system, such as a string fixed at both enq+fc4+ e4,w;j vgqn otds, occurs when

  If one doubles the tension in a violin6s/-f-k 1 x-bk 7nuztio ynkb4 string, the fundamental frequency of that string ok b buk-kzn yxi7stfn4- 6-1/will increase by a factor of

  What is the spring constant of a spring1pqrhh,u3 f4ct per-)t25nkq that stretches 2.00 cm when a mass of 0.60 rhc t4,e52qt3rn u1 -hqp)fkp0 kg is suspended from it?

  A mass is attached to6jr+o; mitt2pgo74 k1gc hq6d 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 position when it is oscillatimrhk;62gioog 6cq1tj 7d+tp4 ng. What is the amplitude?

  A mass is attached to a spring of smzlf1.8ifp,9 w hkk )rpring 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 backkhm 1f8p9i) k,wz. lrf 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, fr1gk )/8 bfpswvictionless surface. The spring i wk )pvf18gbs/s 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 frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 compl 4 mv+xr:jk*mrg9m)se ete oscillations in 5: k4j)vmge* 9mrsx+rm.0 s. What is the period?

  A mass vibrates back and forth from the free end of an ideal spring of( 6b9q7x p gn4fli-ynw spring constant 20 N/m with an amplit9pin4y b 7g lwf6-xnq(ude 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 attf) 5 ub-2kfcjx53rk ytached 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 equik5rjfk 5 3)2xfbyct-u librium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J 4fa) f+b)ejeohsx+n:wc)lw 2at this time. The mass is cut in half, an x)feh)waewb+ )+cjnsfo l 4:2d 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 to a spring of spt(ob+c 5b:ce uring 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 bce: tbo( cu5+the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant mc:ygsk ppg3z v3(1cn, pxl4520 N/m along a horizontal, frictionless surface. The object oscillates in simple h(scxmlgpc 31 :yp g5pnz,kv43armonic 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 h:nf 59robq 8bh2xgl;yg2 7u jq*7 tnshorizontal 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 en2yo x jgb7tnug*5s ;89 nhqrl:2fh7 bqergy of this system?

  A 2.0-kg mass is attached to tc08t2gxzvj/ )rq1) zx3 sncfhhe 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 vxc0 1 zqr)fg c32t /s8xnjzh)the total mechanical energy of this system?

  A mass vibrates back and forth from the fk y9lsw* ao1m6ree end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum ki9*s wkl6 1mayonetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from itsjo80 e wn sjfn-9 utd/2qp)7oi equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if t9n07 uo/ji ft qp 8noj2)d-swehe 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/m. The objecyuzq w51 o1h3lt is displaceowz uq1lh5y13 d by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is at )t 8n/()+ygvdof90xxazej)iy p.odwtached to a spring of spring constant 10 N/m. The object is displa).)apyvg ( ontw/8iejdd+xx fzy9 0o)ced 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 consg,rolj 9io5 q4 b1q, wbz9sy4ftant 18 N/m, displaced slightly from its equilibrium position, and released. What is t w9r,qjqoy 49lbios4,g f 1z5bhe frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when)1sm4qiim-4pws5bvuxakzw+1s voa+j 3 vw 98 displaced a distance of 2.0 cm from equilibrium and released. wawvkv+4ss j1vp-1+bzqw )9 ixi8u o4mm3s5aWhat is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. 0dnzgjh2k7r; 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 kh2;zj0r gd7n 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 sprq*zfj(*,13nl2 mgqe y9zlhhm ing. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then p**z(z3 h12 ,glq9lmqn je hmyfulled 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 spring. In equilibriud f r qn3q :y.or:4zm.h7 q ayce/lght0;hc88vm 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 energy 8md vtyqc g ./ qhn.h:e:qrc lf80o37z;4 yrahof the system.

  A 0.30-kg mass is suspended on ipoty lu;9dee 8- 3ina-lr7)la spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm lnl a7e)9otyi-u8di3lrp; e- down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versus time 8d lj9 2clq )vv20xlhcx;bxooh 8is64equat6scvd)h9c0 xo8xb 22 llilj 4;qvo8hxion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the follo t6j :k/g awwsn 3jg7b86g2djrwing position versus time equaag6:bt68 27 wkj/gws3gjn j drtion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motionwc8 svd xu493e obeys the following position versus time equatwe cvu49d38x sion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end ly2 k coo4xdlj-/2no u4m t1.pof a spring executes simple harmonic motion acco .jmc lpd4u2o2oxnlk1-t4y o/rding 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 force constant of 20.0 N/m oscr8 enotsgub :1 x1bj()6f3h urillates on a horizontal, :trh)feu(br s g8xj1o 3 6nub1frictionless 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 itocp+ k91 hfgt9s frequency and perioot+ cp gk19hf9d on Earth?

  A 3.00-kg pendulum is 28.84 m long.sje ii68 hrr-.wbe .c+ What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its length02jjmv he.g;,jayd , m?

  The pendulum of a grandfather clock is 1.0 m long. What is its y 32ocau-hyktjwf v)r:7 o lw m+3d74gperiod on the Earth?+37kauy-w d f ol7cm4yogrt2 :3jhwv)

  The pendulum of a grandfather clock is 1.0 m long. What is i,bevjsus.yoy9/z*t 8nw f 8; fgqs8a5ts period on the Moon where the accel5oy ss 8wzfeujq9 yf;t/v8.,as*bng8eration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical masshx5xw5rne0yu x3h9;+r yo l+v 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 frequency would have resulted ifr+o 553ry9yh+ 0lhxv;xe xnwu a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-u46v0zsq nx/2k wkr:a g mass has initial angular displacement of 8.0e. It oscillates with a periodx/n460wu z :k krsa2qv 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 givene2ceo h(pv 7h5vb*y ,e time. The frequency of the wave is 120 Hz.(v52ehhe bo,cp*ye v7 What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencseslt3qn8 d0p69ggx6 l3n8ld y of the wave is 120 Hz. What x 36tdn9l8gn8s6l3 d sglp0qe is the wavelength?

  Figure 11-2 is a "snapzngfdb7/u h. (shot" of a wave at a given time. The frequency of the wave is 120 Hz. What is d.n zf/uh7gb( the wave speed?

  What is the frequency of a wave wh u+,2 i e 5tcofew;gthpojp403ich has a period of 6.00 ms?

  What is the period ofp +25xsbxg9te a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 1,wk4 sj ey)hwuvo dz).x+n6a;2 Hz and a wavelength of 3.0h sx nuvz.dw;a )ky, 6)ojw4+e m?

  What is the velocity of a wave that has a waveleng4k+ jm mc:r t. ps )xpp;ycxka:yk+y/,th of 3.0 m and a frequency of jp)+;c y+rktxks,:m:cp4k ym/. p ayx12 Hz?

  What is the frequency of a 2.5 m wave y(+mdid/6 *nh7 jwwrf traveling at 1400 m/s?

  A piano string of linear mass density 0n2p w((vh 7s/d8b;ehy3njidev: ; kd bue*l: j.0050 kg/m is under a tension of 1350 N. What is the wave ssu;dh3j;b82d: eiv 7:n(ln bjdh pwyve(k e*/peed?

  A string of linear density 6.0 g/m is under a tensizfr( o2y l46ca y02pynon of 180 N. What is the velocity of propagation of transverse waves arynz( f0 pylc 264o2yalong the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose t64y;yx a6 s:cyvsa 6e3ai 9k3x)hhefzotal mash 6 4zk 6a: 33cfahxy9;eyvei6asyx)ss 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 oji;9r/ ylu dw/f a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Whid/lyw9i;u /rjch one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequenc ;:vq;/o1wrynkdmz *wy of 500 Hz, which one of the followido; y;*vn qk wzw/1:rmng frequencies can set the string into resonant vibration?

  A stretched string is observed to have fsb4fq *x h.j6four equal segments in a standing wave driven at a frequency of 480 fbjx.*h 64sqf Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 1 *gm;l7nf 6ams2 Hz with a standing transverse wave pattern containing 3 loops. What;fml*n 7sg6 am 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 shoul jbbjhg5uf 78ip7:6/hs ds,q1) ri tpld its length be if its fundamental reso5jf,is:l )hq pg/thb7u jsr861 i7bpdnance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densi*0 r .jizo 0jprach*;iq)wvv8ty 2.00 g/m and length 0.600 m when it is subjected to 0 c) pvio*ajvz;hrwri.*jq 08 tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Whenqv p3gs8ax. r, the string vibrates at a frequency of 85 Hz, a 8v.s p3,xgqrastanding 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.