The time for one cycle of a periodic proces:k u+nm8kpe e m+b lf01axmh2)s is called the

  For a periodic process, the number of cycles per unis;oi4wx9wld d rb k-(0t time is called the

  For vibrational motion, the maximum displacement fr9vy2sm eze/ay7va3a /om the equilibrium point is calle/9s 7a2m3a/ vezyy aved the

  A mass on a spring undergoes SHM. W z/cv fc .mv(6iq8qw(chen the mass is at its maximum displacement from equiv 68wqcmv. (zcf/ i(cqlibrium, its instantaneous velocity

  A mass on a spring undezd+3d vk* 5bns,a *qsmrgoes SHM. When the mass passes through the equilibrium position, its instantaneous vesqb* 3 ,m*5da sk+dvnzlocity

  A mass on a spring undergoes SHM. When the mass is at maximum dispbhf 8; 42amaltlacement from equilibrium, its insta4habt f2 8ml;antaneous acceleration

  A mass is attached to a vertical spring and bobs up and down between poiy b,ydd08m4 yzw8mcw8 nts A and B. Where is the mass located when its kinetic ener yd w88 mbyw,m0cdy8z4gy is a minimum?

  A mass is attached to a vertical spring a ( t :joj(am:8ciib5cbga/fa( nd bobs up and down between points A and B. Where is the mass locateima(b 8b:i5t:(/j (ocfjac g ad when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bo+zmenbo0(/7hp 8 tam q/ii jn7bs up and down between points A and B. Where is themz0q8(7jpmaine/ b+h7t / oin mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pou-4cgq p;e7ubrfy v1;1uh yo62kke-nints A and B. Where is the mass located wv4p kuy71;fq- recyu e nk2h6u 1obg-;hen its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces vmw9 v,33 8 ibi g+5wv8v/ tu*rvntqztwhat effect on the system's mechanical energb gv5t3vvzr/ u,wq9v tvi8w8im+ tn3*y?

  Doubling only the mass of a vibrating mass-and-spring 1knimq 27wedvvbg8o 71s3 tj :system produces what effect o7dw 2 k8tov1b7nv1 gj:miqs e3n the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system pr,ob(pywfk7dd0c ,iutb59 g6uoduces what effect on the system's mechanical 07 i o,upwgyt9kub b,d5 c6(dfenergy?

  A mass oscillates on the end of a sprion(iuk/ g./islkd2 r7ng, both on Earth and on the Moon. Where is /rgsd2./n(luko7i ikthe period the greatest?

  Increasing the sprinqwy8vi.;j ;ijw * qn6ug constant k of a mass-and-spring system causes what kind of change in yu 8 *niqq6jivwj;;w. the resonant frequency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of33wvw:4t7q oh4 e9*ku gs opyv change in thp:we37*vwv4ks yh 349tog qou e resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system causl v(q+s w9rp*tes what kind of change in the resonant frequency of the system? (Assume no other changes in th9pqlw +* stv(re 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 uyk:bgty.hgh/ jetk7( .-sr 7xkc3a5 length L. For this7.s5k 3 kg (a:c-yk xhu.hgr7ej ttb/y system, when undergoing small oscillations

  When the mass of a simple pendulum is t-( o8yxap2a:lm gmp *sripled, the time required for one complete vib*mx:mp2(-s 8yloa pagration

  Both pendulum A and B q9)d *udxqe bt n-cm+c37eur3are 3.0 m long. The period of A is T. Pendulum A is twice as heavy as pendulum B. Whau7 *3neqc)r9 m e-q+d 3utcxdbt is the period of B?

  When the length of a simple pendulum is tripled, ,vn9m;hmiy-+h6hp0jkuxjd )kh i 5j6the time for one complete vibration increases by a factoi p5,-dhhn v;uk+06hjmm )ki6y9hj jxr of

  What happens to a simple pendulum'sevfcyu fav 5q(pf)tc.6,r+ z/s) .jq m frequency if both its length and mass are increased?rz(/m ).tu,f 6 qsjafve.+cy) vq cp5f

  Simple pendulum A swi9ouj +s2,+flz1hat4.a do/hctka l(bngs back and forth at twice the frequency of simple pendulum B. Which state/z1l,+t2hfa(uodt lba+h saok9 .c j 4ment is correct?

  If you take a given pendulum to the Moon, where the acceleration of 91(s,b a pztpzgravity is less than on Earth, the resonant frequencyb zap9s 1pt(,z of the pendulum will

  Curve A in Fig. 11-1 represez 2kpiv*taj4f4 ,y-,g:zc cihnts

  Curve B in Fig. 11-1 repres+0dlt iwc b:v +9k8jboents

  Curve C in Fig. 11-1iy- xbsb:4 bz( represents

  For a forced vibration, the amplitude of vibration is found to depend4ho pvng7ooz7jfp.pm+;v / -z on the

  In a wave, the maximum displacement of points of the wave from equil,* d4dxvtu a)aibrium is called the wave'su, vd4 aax*)dt

  The distance between successive crests on a wave is called the qt38oy h -rt/iwave's

  The number of crests of a wave puoxd :0 mv3u8tassing a point per unit time is called the wave'0:vo 3u txm8dus

  For a wave, the frequency times the wavel;4bkw+1y b prlength is the wave's

  The frequency of a wave 1amp7e ;olp; 0st 7nbsincreases. What happens to the distance between successive ap0;e1po7 s7mtb l;nscrests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wav1+ u8vkxh y8q*bn)v,jvu y:l se on the same stribuh8uyvx1 v:j)+sln q, y8*vkng 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 5 gp8)js9 qcmgL, mass M, and tension T. A standing wave is set up. Which of tm 5g sp8j9cqg)he following is true?

  A string of mass m and length L is 2z mj 8- xfx7.y9gf :e2tciohkunder 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 ofexff9g 82j7i 2mc:khtzy xo -. the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speed w pxcy0.hodp :6,xr/d:o 6i jyof a wave in the string is v. What will be the speed of a wave in the strindo. 0x6dhj :yp:rp6 ,o/xcwiyg if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tencn;y8gww (t3m c 9m0zysion T. The speed of a wave in the string is v. What wi89(tn ymy3 ; 0mwgwcczll 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 through 1lunn4 *ub*5ymo9d vs the Earth, the relative motion between the S wa 9*uonuvymn4d1 *s5lbve and the particles is

  In seismology, the P wave is a , 0*qx*xfhhla longitudinal wave. As a P wave travels through the Earth, the relative motion between the P wavehh0f la,*qxx* and the particles is

  The intensity of a wave is r ltv/ y80/ s37*r;ov(vhaacyozbt3a

  A wave pulse traveling to the right along a ymt-eyw u5oogix42c- d: 1+z zthin cord reaches a discontinuity where the rope becomes thicker and heavier.y5oz2gto4 1- i+me d-yuwc:zx What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a s4a+xhe yt2p2spuy*w8yp1 :w izf9sss7/ po;ftring, one is traveling toward the right and the other toward the left. At the point that they occupy theuz wy;fp9xei: s*722o y1a4 t8f+ sh/pywss pp same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling wg l kr**qk* vk7 j(x1kye/eil2:efmy((: zsctoward the right has a positive amplitude, while tkqeslyw k(i *zf k((m*:ye jrvl2*gkc1x7/e: he 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 string fixed at both ends,/d1kc i2eitltt p7g/vka8z);1 z;ise occurs when

  If one doubles the tension in*tpmj7clo2k3m.,w dw x9ki 1u a violin string, the fundamental frequency of that string will increase by mp*k k7 mc92xtuo, 3wj.ldiw1a factor of

  What is the spring constant of a spring that stretche p sagiasz)920*u:s -cgjk;y9 udl,bn s 2.00 cm when a mass of 0.600 kg is suspended fromp2ucuagg za; bn:* -y i ,9k)dlj9sss0 it?

  A mass is attached to a spring of spring constant 60 N/m aln;5/ n8 cay-ohaxeb 5x3n)pob2 0ypkoong 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 08epx2 h3n kaaob5;5x/pnboon ycy )-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 x8/j :m6z :hk;*d:cbyw aenmy 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mas kje:y:86yxh bm/: ndw*a;zmcs 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 spring constant 60k4d,ugpl-;d/p jv8zorh0cw; 9 h9l zp 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 9jl;h ,p;8okhl9 g/w zr pdz4dp cv-0utakes 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 completer)k w f5n; s/-mzrof3j oscillations in 5.0 s. What is the pe3z)nrf/s5 kw-mof ;r jriod?

  A mass vibrates back and forth from the free end of an ideal spg+5vn2ozd z r-gh/my3 ring of spring constant 20 z dv+-gn m32/gozhr5yN/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 sp 7 qatyypls,v8 e3+c)fring 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 eqfytlv7 8, 3y+ce p)asquilibrium position. What is the total energy of the system?

  A mass undergoes SHM with ampli(:zq81m tsul atude of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the system is sau 1t8l :mqz(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 spring6 pd/l4c/4e.dk czuxl constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple hapelck/.dlxcuz/d44 6 rmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/q c 1krj7e+9y2rj qtj5e4h:ncm 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 tr5j+n:c r7c9jej2e4qhy1kq the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of yj +bmxsebj*:xc5 8jev .kxh frq,7*9spring constant 50 N/m and set 9m8y *b*7 j v,kqfebxsj:hj+x.erc 5xinto 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 sprin;xv l;jx;1ljupaj:u; t u:hu q3 3xl,+mqd+v ug of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energuuvhjut pl:; 1 3x mjjq+u: q+lx;ul,;dx ;av3y of this system?

  A mass vibrates back and fomi c- (jj:rbsj)hc:w8rth from the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetj()-w:hcs8r ji j:bmcic energy of this vibrating mass?

  The mass of a mass-and-spring system is displacdgjg (d8zs) x)ed 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is obsegxdd) 8) gjs(zrved. What frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is atn;b pr i4vy f( g)zf*.guk1w0gtached to a spring of spring constant 10 N/m. The object i0;v*nb) wfug.g4ipg ky ( 1zfrs 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*a2mk 5vj2lek of spring constant 10 N/m. The object is displ*jev2 k5 klm2aaced 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 2r;dxek*u+:ecz ada ) N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibratio)*a c;+dx eedz2 uak:rn?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz whob +xr:i- 5ktd7t9zb (mq;+xiv evhpr4,:jbw en displaced a distancb-ho +m47 tb x5: +dwz(evrpkqirb;9 ij x:t,ve 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 differeoaf ph, m2)8aknt springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and masspak,a)f om 8h2 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 on a sprie; fpqcq3vysd.a.+u 2ng. 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. Calcu +vp quqdc.sa2 3yef;.late the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches p 2h6jsg+8z3jy q9fvkthe spring 2.0 cm down jv9zyg3f jpk6 +q2hs8ward. The mass is then 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 sufg og i;o( 0u0bki4.p :teu(xyspended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then ;:.0pk(ybit (oxgeigu0fuo4 pulled an additional 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 positi gteb5renx7y1)h *c6 mon versus time equatixeym)rc17 ht6neg5* b on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harqykz m-h, .;qps9;uahmonic motion obeys the following position versus time equa ;9ayp-skhq,hm;u .qz tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position versus time i/9ltz hil 10tu- bnc7equati -b7tci9/ nllzt10huion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes - f9j vx.t9lzwsimple harmonic motion according to txvz9 -twf9l j.he 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 xa0e9b+ lvtc1 to spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0 bcl91t v+ax0e, 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) Whvc vvtv+ejlp .mm;5z 8+4n mt10clig *at are its frequency and pem vvm . nt*t+vl+mlpj51i04eczc g8;vriod on Earth?

  A 3.00-kg pendulum is 28.84 m long.4 sf/+8 m jfl r/ lyctgd;ycfj81v6(qo What is its period on Earth?

  A pendulum has a period of 2.wse60fkk +ok:7u v wba j),w5i0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 mzeompx9hj-dv1dl4e7ri 0) vs +: jlq( long. What is its period on the Earth?9e (1r xzh0)ollj4+sm q: v7-evpijdd

  The pendulum of a grand;whgxbqm6.uanx0wwz u0 g 5yn5o; 8 ;zfather clock is 1.0 m long. What is its period on the Moon where the acgwgy5;. w ;u u0 n6mx5znaqb;xhzo0w8 celeration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists c+m6zr n ;6* i4fhrolhof a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium+o hm;4fczri6 l6rh* n 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 mas0gwttq9dz- u ,s has initial angular displacement of 8.0e. It oscillates with a p,dwgq0 - zt9tueriod 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 d-f fu vh18x6a7gi-baa given time. The frequency of the wave b1aa 876d i-fvhug-xfis 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequencyfvo-*nk x; u-x 9tg zj*5cz4bs of the wavu fotgn-5v 4 bxcjxz;zs -**9ke is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshotb d8 pa.3-(uyy vdxr5l" of a wave at a given time. The frequency of the wave is prly.x a5u(byd3d-v8 120 Hz. What is the wave speed?

  What is the frequency of a wave which has a period d ho9 ewh.h:yr9 -ys yu4kq(q)of 6.00 ms?

  What is the period of (h i23s3nemub1 k4 hyoa wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequil )srma-,rmo 4;od u6ency of 12 Hz and a wavelength of 3.4 ma6sr-,md liuoo ;)r0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frhue:ip1s.wz 8mx*r1.i ltd/xorno 71 equency of 12 H7ziih.o t:rnr1x8s l1. uwopmdx*e /1z?

  What is the frequency of a 2.5 m wave trav 9cq( dsyktt z,1h-cu6eling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a p 1x+ujdhl bf,-o3mk6o+ oyk* g4) kuxtension of 1350 N. What is the wave sgk4+xk oxy+bhd) f3p,lk1m *ouj 6-uo peed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the ve6n7.g acg (zr9:9mxsvhsn5 hflocity of propagation of transverse waves alonhsf(nh:mg n 6 xgvasc7zr 9.95g the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whown3 q9dsd:xhs 45lf8b se total mass 5w9s:lqdxb 38 fn dsh4is
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 propaga,bvod-yt 6,wg tion of a transverse wave on a 2.0-m long string fixed at both ends is 200bg6,w- vtdyo , m/s. Which one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamenta4 dan5 .v)oq0 qod;bxtr;nh-twhns* ;l frequency of 500 Hz, which one of the following frequencies can set the string into resonant vo0 d x; 4wqs5 n*rqoa;h ttvnhd;n.)-bibration?

  A stretched string is observed to have four equal segmenaegmr/k g-zdw.) i9qd)q/t2 jts in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five equaram.-zg )/q ekqtjd wg9d2 /i)l segments?

  A string, fixed at botgt +z+f7*at) ryqyl a+lvou .0h ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needeq+lfl0o t+ugy7 . +t) zavry*ad if the standing wave pattern is to contain 4 loops?

  A string of linear density*czt (:wcys1 c6t3ypv4;funf ajma 1, 1.5 g/m is under a tension of 20 N. What should its length be if its fundamc1apcf6*c m,(y;v1tz fjan34ywt s:uental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linearmtm-)vqcj s(9 mass density 2.00 g/m and lengt-qsct)(9 mmvjh 0.600 m when it is subjected to tension of 50.0 N.

A string of length 2+e9 :m*dtqgwc .5 m is fixed at both ends. When the string vibrates at a frequencye q:*gdtmwc9+ 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.