The time for one cyclu7w8q b m 9az8pwli06je of a periodic process is called the

  For a periodic process, the numb9mpq sd-l y ro4 (17ox3l;mzo2-x tyq0cl:unter of cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibrium point n, r sv8a8f+ (: 6r pzgr1rz7usp(bmhais called th:mafva h18(srsrpr,r 6b 8n+pz( g7zue

  A mass on a spring undergoes SHM. When the mass is at its zb6 iz*fe7v )on t:7cqmaximum displacement from equilibrium, its vo7f7ci: 6)*t qbe zzninstantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through th uw.,:/hinq a-n vcc:be equilibrium position, its instantaneoi w/ ccnh.,u:ba:n q-vus velocity

  A mass on a spring undergoes SHM. When the mass is at maximueln 9:v18d(lg onc (ybm displacement from equilibrium, its instantaneous accdo(:( nle l nb8gv19yceleration

  A mass is attached to /6eez- dykq c x7,xi/)qaw5tg a vertical spring and bobs up and down between points A and B.ci6yq7d x-/e5)xzea / k, twqg Where is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up cyq bm*re ,ok8x:51mc and down between points A and B. Where is the mass located when its kinetic energ8o*xbmc c1,yr:ek q 5my is a maximum?

  A mass is attached to a vertical spring /n wk30y6hxau-;nh zk and bobs up and down between points A and B. Where is the mass located when its potential energy i-a3uz0w kkynxhnh ;/6s a minimum?

  A mass is attached to a vertical spring and bobs up and down bet9t3s d2g8x,x47d*dwssnxgz lween points A and B. Where iw*4s2,sngdxsx x7lz8 gt93 d ds the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sy n92i9v9 nopc4whjhqaw6/ cc ;stem produces what effect on the system's mechanical energphci2c / v n96wnaj9;hqo4 cw9y?

  Doubling only the mass of a vibrating mass-and:b3bxu.)y awsvn-kl2 7 wpo(d-spring system produces what effect on 2(bo .n a:ubdswwl p7 -xy)kv3the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system py*sn1 :-f9b9kej qjh r j4yryz+,ap*aroduces what effect on the system's mechajkn-4y1jjb9hearyysr f9:*az*q+ p , nical energy?

  A mass oscillates on the *w1 bkb. a)bv*doxus9 end of a spring, both on Earth and on the Moon. Where is the period the great.v*u1)dxo*b9k ab wbs est?

  Increasing the spring constant k of a mass-and-spring system causes what kind(1i 18ml euqjf of change in the resonant frequency of the system? (Assume no chaejq8iml 1(uf1 nge in the system's mass m.)

  Increasing the mass M of a mass-and-spring system car*5ppu. :g/ctmbqt2m wdy-. +bo yya9uses what kind of change in the resonant freqtc9:5d. w+a. tgyp*-ymm/ pbby q 2urouency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitudesi -(m-h: qhnq of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no othh (hs-q mn:i-qer 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 string of lz elx x3gihpl;y3 +,+length L. For this system, when undergoing small; 3i,x+xez hy+pl3 lgl oscillations

  When the mass of a simple pendulum is tripled, the time required smk6/ ij fr8a:for one complete viri /m68fask :jbration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendui nk8- w *rw6yndp6h1zp+n3-a n/pu-+ijnqxnlum A is twice as heavy as pendulum B. What is6n 6+x 1uai3n+n- *n dzqy8njp-khniw-/wprp the period of B?

  When the length of a simple pendulum is tripled, the time for one complete viuc , y72by9 d/wx7mhekbratk 2 77wmcd beyhx/y9,uion increases by a factor of

  What happens to a simple pendulum's frequenc6/c fc *hj 4m-mqi/sloy if both its length and mass are incmhs6jf*/ cmlo-icq4/reased?

  Simple pendulum A swings back and forth at twice the frequency of simple penx 1bs4fpig2p)dulum B. Which statement is cor2si)1xpfpg4b rect?

  If you take a given pendulum to the Moon, where the acceleration of gravity i /y44lqzy v6uwzbe:0j s less th l6jvuq4/y 4e0yzz:wban on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represenqg 39 hpktt29 zdm l9c2tfaud7 ,/l1cqts

  Curve B in Fig. 11-1 represents wo91gdr t21 ,a7mft 47kujv rkw(d;cq

  Curve C in Fig. 11-1t- 2 ngho:e8b(t u6:1f nobaze represents

  For a forced vibration, the amplitude of vgrr;w hcb3i0+y2i 6n vibration is found to depend on the

  In a wave, the maximum displacement of points of the pw em6;fs 2+gswave from equilibrium is calls;6pw g+s2fm eed the wave's

  The distance between successive crestmm -n fe.1xmh/s on a wave is called the wave's

  The number of crests of a wave passin5eu1yeesmpc, h: o*u;g a point per unit time is called the wave'ops;5 ye:eum, u*1ehcs

  For a wave, the frequency times thed2o8o+gwk*s3aymz-,qr .mg r wavelength is the wave's

  The frequency of a wave increases. What happens to the distanj1ea 9 jk4i70o)jgqri ce between successivek9igrijj14j70qa )eo crests if the speed remains constant?

  A wave moves on a string with wavelength l and frequency f. A second wave on thu r.y hnzp:f9kfq8rg)rf;2qp8d0u;7 w x v0re e same string has wavelength 2l and travels with the same velocityypru r0q2 78:q rrh)f.u d;x0f 8genfk vpz;w9. What is the frequency of the second wave?

  Consider a traveling wave on a stienu31vnl7b f7tb,9:*jj nyaring of length L, mass M, and tension T. A standingb ua739nyb,je1in:t f*jvl7n wave is set up. Which of the following is true?

  A string of mass m and length L is under 60( r9khceoc t9,0scjuyq)b y/bh k;p 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 stringp kb(oe6khu0hj cyqyb,/9t) c0;cr9s is increased to 2m, with no change in length?

  A string of mass m and length L is unnh71v*uqbrn 4der 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 length is increased to 2L, with nobvn*nu7 r1q4h change in mass?

  A string of mass m and length L is under tension T.u4q.an-l;ygf ( moj5f The speed of a wave in the string is v. What will be the speed of a wave in4 yl;( af5-.jqou mfgn the string if the tension is increased to 2T?

  In seismology, the S wave fr7clivc 808v is a transverse wave. As an S wave travels through the07fv8v cilc8 r Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travels t3*3 ci1fkz ;q7dlm z)j22 owpuox by5ihrough the Earth, the relative motion between the P wave and5xi )13 ocqouy fdjzk73p*2m;z wibl2 the particles is

  The intensity of a wave hy hl-ux535p fis

  A wave pulse traveling to the right along a thin cord reaches a discontinuity whfu p-0qhmd6a vl7v7 n2ere the rope becomes thicker and hem7uqv7 6pnl vf20a h-davier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each othh9-u k8qj di4ser on a string, one is traveling -k qdh8uisj94toward 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 ttc(/x uv3 v-heraveling 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 sa 3e-(v /uvxhctme region of space at the same time

  Resonance in a system, such as a string fixed at both xnixmrm :.x5lohd58 ld/, ei,oa2j . lends, occurs when

  If one doubles the tension in a violm.0u t uj24v lg ;ux4su1so5vkin string, the fundamental frequency of that string will inc0us5 m4glkvs2ju t1 u;x.ouv 4rease by a factor of

  What is the spring consta++at0p o 0,lubivxu6p + xm/exv 0j;punt of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended fro+oxjvvx,;l +ux mb 0/ 0teip60 apuu+pm it?

  A mass is attached to a spring of spring constant 60 azpu( 4 lky* slmebif5(e7vyz4o aao;,;0 9btN/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 ii m4zava4 l(7(,tsboeb ya py;z0*;l o9ef k5uts 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 horizontat9v3-et si,a;( vgcdul, 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 eqd3v,-su g (a9evc itt;uilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a*h1q-k(c lf fo spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a forol(1q* hffck-ce 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 S7* kelawm*,fvHM. It goes through 10 complete oscillations in 5.0 s. What isl**amfv7 kew, the period?

  A mass vibrates back and forth from the free end of an ideal gojg4 5i;gm, k2paud; spring of spring constant 20 N/m with a gkg;u2;4g, 5 idjoampn 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 (g1bns mr6dw9yd6m/ oring 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. o s16dbydw/ n(rg96m m What is the total energy of the system?

  A mass undergoes SHM with amplitudn-.,m/a isukie 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 motion with amplitude 4.0 cm. What is the energy of the systemisan /,-kim. u now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a 4dff)v3d 5rkjnz-w9 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 vf- 5nd)jfr kdwa394zamplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m a*7khgjn oahfd7 xi0 01long a horizontal, frictionless surface. The object okgi7hfn1 da 0hx*j07 oscillates in simple harmonic 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 horizontal spring of spri9i+hx+ hdmyf9 ng constant 50 N/m and set into simple 9fhmhx ++yd9i 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 thez+r h5*qbq iw) tvl :rky 4zfjel.m8/1 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 t )bkhtf. evmqrlwrqy+zjz*8 /i4 5 l1:his system?

  A mass vibrates back and forth from2uy in,wz.x,l the free end of an ideal spring of spring constant 20.0 N/m with an amplitude zlxyu .2n,w ,iof 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring symuiv7a 638xi kstem is displaced 10 cm from its equilibrium position and released. A frequency of 4.0 Ham6v xuk8i3 7iz is observed. What frequency would be 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/m. Thqnviev /ronj8s1 lu-s4 .x)w/e object is displqxl /j1evns4s)u8i.wovr n - /aced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attachedjb6-66f nehww *e*2wv xn4jsu to a spring of spring constant 10 N/m. The object is displaced*en*v6 2 6wswbwe-u46xjjn hf by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung+8;u0d dkveg w from a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. Whawe gd;8du +vk0t is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequen;5 epmnj-wmi) cy of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum veloc-5i pm ;e)wnjmity attained by the mass?

  Two masses, A and B,wd+ k tz66rc.d7g*)4wocni wv are attached to different springs. 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 maximum stkwz)46ovdn+crd6. *w c7wgi peed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches z t8k+njhuzff3c .n ,yf6u./nthe spring 2.0 cm downward. The mass iu3fch n.yftu f+kjn8znz /6.,s 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 sprinmy-om:v./r,nqtg h c/g. In equilibrium the mass stretches the spring 2.0 cm domn-, .ygom/:hv/ctr qwnward. 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 suspended on 0t gw45r /dmqla spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm do/0 5t4l rqdgwmwn and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following position versusxs0 y31qti q1a -vke-h time equasv1 qqh 0t3e1-x iyak-tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus tic*(y2 :h;mq+ alqtkxy me equa*yh;q2xq ckytm( al+ :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 e *d6+onb 6dhenquationhd* 6eo nbd+6n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motion qw c+xtzr2b(ik , m5r4according towrzcqmi(+rx2b,5k4t 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 conux7vgch)f9eth*0jdf5qv29k gy,; w w stant of 20.0 N/m oscillates on a horizontal, frictionless trav9 ,0vt gw2g5;hf huexq9df7ycj*wk)ck. 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 complc5 5qdh7shz. vv wqoj,sb89.yete swings in 8.0 s. (a) What are its frequency and per5.s5v7b,svq ho.qyd8w9cz j hiod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earth?*gp +fr; cvqwa+ ;c3xm

  A pendulum has a peri ufc)z8aa 7n6wod of 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Eaz rtl8 04pp hwg0 mj2mzlh,f:-1e (bderth? 8j(w1rh0zpme0dl2e:-f g bzl,th 4mp

  The pendulum of a grandfather clock is 1.0 m long. What j(gwcz0y: m 5dis its period on the Moon where the acceleration d5:y cd0gwmjz (ue to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sph 2 :0r;0:ocavcyz1k reroddb, erical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pend :2ovbeyco ,a01cr0;rk:ddzrulum 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 angular4atf8kjd-vm cz039akmob4 7 r displacement of 8.0e. Iv bf7aj0-z94d4mc o tk 3ramk8t 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 a wave at a given time. Th*rrtbp82*mhxzye q rg4zl4c c0gs5(8e frequency of the wave is 120 Hz. What is sgzxqbpcr*e05zh48y*2rl 4 m g8rc t( the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given tifkt 82/sin aw.v:ez 2wme. The frequency of the wave is 120 Hz. What ivw2kze2 w.afi/s8t :ns the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of kvf84ccr ;z8t(h6o vnthe wave is 120 Hz. What is the wave speek zc; coh4tv vfr88(6nd?

  What is the frequency of a wave which has a period of 6.00 moeav+ wo)lr ;*ll(f8 ws?

  What is the period of a wa wkbg(vgn ,hlhcn)o w4,,+2bwve with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a wavelengthl3 pn8n*c 4hxp of 3.0pxh8pnn *l3c4 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequenc faq3z48eex/f6)9e 8 mvwxumky of 12z88 u)6w kf memae 34e/xqxfv9 Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m7g8 68crhk6mkh:d;1 thkgg: hvyy.t u /s?

  A piano string of linear mass density 0.0050 kg/m is under a tension of 135ng au7tp9k6s +97eweq f6t r0w0 N. What 9s n9petrk etw7 7uag6f+ 0qw6is the wave speed?

  A string of linear density 6.0 g/m is under a tenz 9 o6t.ni, lmj3 kw7b ke+o3cohz:e,ision of 180 N. What is the velocity of propagation of transverse waveo:,kiejezz 3o9 wni,c36o lk b.7m+ hts along the string?

A wave whose wavelength is 0.500 mvopp fn3. oy*elo( qc+6jx4e8 c4ks6 r is traveling down a 500 m long wire whose total ma6cfpeve+o(c4 4o poslq .y 6kj3rx*8nss 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 ox1kee6. jp lb4f a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of thekj l.64e pxeb1 following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the folloy4r; uumcf76qwing frequencies can set they7cm6;u4u frq string into resonant vibration?

  A stretched string is o 0+i+qg j) l;v0fx 5n5uuirwtz)2fowjbserved to have four equal segments in a standing wave driven at a frequency of 480 Hz. Whwnzglvw0qj ro +55i)f xt +j0u2i;f) uat driving frequency will set up a standing wave with five equal segments?

  A string, fixed at bothj7fmh0y vt i45 ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patt h4m7ytf50j ivern is to contain 4 loops?

  A string of linear density 1.5 g/m i fpes,,3bi)x us under a tension of 20 N. What should its length be if its fundamental resonance xpbfe s,ui), 3frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m anq t)5.m4qqok9d ufg 6 ut+iwe;d length 0.600 m when it 4d e9;+u fqqg65wtquti o mk).is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends.er ,)bpl btqbl1i0v;0s+ )sxm When the string vibrates at a frequency of 85 Hz, a standing wave with febs0)lqm1 r i0 ,bpl; t)s+xbvive 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.