The time for one cycle of a periodic process is called crn.*ow0qrmn;l6 :ed the

  For a periodic process, the number of3ghf6)4o,p25 ceigyhjpi yp * .tnjy 9 cycles per unit time is called the

  For vibrational motion, the maximum displacement from the equilibriuml9 nxdx; +du1*ml8ji0 d6q sjn point is called thl 89ujnm0j*iln +;d1d6dxx s qe

  A mass on a spring undergoes SHM. When the mass is at its mtsb z:,)t8kb *e2z/; yal pcexaximum displacement from equilibrium, its instanb/zb;2p:kesxl zt 8,y )teca*taneous velocity

  A mass on a spring undergoes SHM. When th6itk-w*.lcyfhlx+l / e mass passes through the equilibrium position, its insthyliw*t-/ck6fll x +.antaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum dispoed ss;u06k,g4s.z:( iwhlr f lacement from equilibrium, its instantaneous acceler6l wrs e z;fgsuh:4(dsio,.0kation

  A mass is attached to a vertical spring and bobs uj/ ,5vrg4akz5 ayxpl6e *obz8p and down between points A and B. Where is the mass located when its kinetic energy is a minimu jx45z/ aylrga *o5,bz6pev8km?

  A mass is attached tvzha: x1yd kq a+349dvo a vertical spring and bobs up and down between points A and B. Where is the mass lk3v 1:qaz9dvx d+h4 yaocated when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poin9f cqkz7h:sl zhmoyl9sc*9 70 ts A and B. Where is the mass located when its potential energy is a minimum09:zl79smq7ch* ycf zho k s9l?

  A mass is attached to a vertical spring and bobs up and down b3 -kp3 eu25t5 rrvjc acqr6vc)etween points A and B. Where is the mass located when its potential 53 qp5 v-rket)jcrurca6c23 v energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system produces h(e/2i77thn5 b(maa 5stq*hngik t mp g-t :0jwhat effect on the system's 5h ng(5tj -tqmekg7a 7m/s0*h th2n iia(bp:tmechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whc)a29 fkad )z d+nq20,sv2 llhuias4 /bpemd*at effect on the system's mechan2dbcp4 i skusad2el ma+af ,n*lq92h0v)/ d z)ical energy?

  Doubling only the spring sa khx )0y98od-iiv4d constant of a vibrating mass-and-spring system produces what effect on the system'v o)d-diy49ihks8a 0xs mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wx+sn nbkwt*0auxm5 0k o; +mq)ilkb*9here is the period the greattknk0x*0b k liwu++b o)5xa9*nqm;msest?

  Increasing the sprinlxa9(nl e-qb7czt 6i: du6fp.g constant k of a mass-and-spring system causes what kind of change in the resonant freq. qilud9(l66n tb xe-7f:zapcuency of the system? (Assume no change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causeso u)sm+;r eyp2) qhiox5bj jvn. qp*ai8x 7s;. what kind of change in sp.ijno*h va72qy pe u s8j;bio 5qm)xr;x).+the resonant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring systemdnxp /h:3+/pi+rsr,, ;kxbl b )slnkr causes what kind of change in the resonant frequency of the system? (Assume no ,b rdkp:b+ i3 nssh krnlx,/p;/l )+rxother 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/.wt.,jsvjn o).c2beb ua- 8vnqt bn ; a mass M attached to a weightless string of length L. For this system, when undergoing small oscillna; u t,teo s/.cnwvj-2qj.. 8 )vnbbbations

  When the mass of a simple pendulum isz4dj5 hx: zovjw 3(4zzneom76 tripled, the time required for one complete vibration44vdho :m 5zjn76(zez3zx jwo

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice *e h-skn tyimg2hyk es(83srsb+-* 8 das heavy as pendulum B. What is the 2y*+mse8sy-rhbs e (8thsg3i-kk nd*period of B?

  When the length of a simple pendulum is tripled, t( 6v3 rwnkvnb**uyl m 4./kg*dxtgwh5he time for one complete vibration increases by d 4y v/*tb5h(n.lu w3gvnr6kmk xwg **a factor of

  What happens to a simple pendulum's frequency if both its length and mass a ;t:f+bu;zuaslf8zh) li4 eo6r ba31cre incre8 ;;fozb i c ba)4+eluzhal1us f6tr:3ased?

  Simple pendulum A swings back and forth at twice th1;qxvtr hqxa,62vfu cc45a6ue frequency of simple pendulum B. Which statement is correct516 qu c;,tvhqa642fcxvraux?

  If you take a given pendulum to the Moon, where the accelet,fq+ij+v6s4z 6)ajg .wil ueration of gravity is lef4aj+ijl.6+evqsz w ,t)6g uiss than on Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 reprfc b( *0 bqyico3oz0tfylp +94esents

  Curve B in Fig. 11-1 represe0ro 9r ta 9:z:tdohp0mnts

  Curve C in Fig. 11-1 repruyi+i0jv1gj* z p f7ayxm-0; 5ne1zlzesents

  For a forced vibration, the amplitude of vibration is found to demhsn+re 1:cipu 7qx pt*fi76 0csdv82pend on the

  In a wave, the maximum displacement of pointsrwgnx9s.5zk mask5 o/1hk/:osv p ; w. of the wave from equilibrium is called tka.mwk /5hk or;zo s19: ssxwp5g.v/nhe wave's

  The distance between successive c2v, ovz+hu(sa a3an .78ly dxhrests on a wave is called the wave's

  The number of crests of a wave passiz g63ksfc. ss7ng a point per unit time is called the wave's.gc 7sss fk6z3

  For a wave, the frequencfyo u, *1pz,rvc9y *udy times the wavelength is the wave's

  The frequency of a wave increases.l4 iik.l fbcz8b+8b r; What happens to the distance between successive crests if the speeb. 8 +bif8blzrk; il4cd remains constant?

  A wave moves on a stxre /ldtob /x0+er .uf:crq 0-ring with wavelength l and frequency f. A second wave on the same string has wavelength 2l and t/qdx -b :/e+f0tcue0rrrx. loravels 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. Aqwq9x)x3kd6ie4)ysd/ kk/ lkd 1 hjs) standing wave is set up. Which of the following is sdq4 l/k)h/ix3d)k) jkk y1 es d6w9qxtrue?

  A string of mass m and length L is under tension T. The speed of a wave -d0:vfcc) ix00o.diaow 2r)gox:tnxin the string is v. What will be the speed of a og0n)fw2d0o d.vr)txo-c0a x i cx i::wave in the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tens8e; tvo0bgfv*gvnl :;ion T. The speed of a wave in the string isovb v*l:vt;ngefg 80; v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of snmoy k4,6ycsoluyz2 4.xm--a wave in the string is v. What will be the speed of a wave in the .y4- n, oyx2-c6ukl smyozs4mstring if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As az2i82ntqdrs 12s csc0, 8 mbagb k7x;nn S wave travels through the Earth, the relative motio a8b8szs02nic12 7xqc; kdmn,rs2 tgbn between the S wave and the particles is

  In seismology, the P wave is abv2 oo)pe/:1je+k a;g /xvlasbbz62b longitudinal wave. As a P wave travels through the Earth, the relative motion between the Pbp;vo61ae gk+xoa)2b/jz se2 :/lbbv wave and the particles is

  The intensity of a waveu4vt(s7y+x9 iceo /el is

  A wave pulse traveling to the right along a thin cord reaches 8exkj)0b 8: nhdtlrboac 4g63v o i3cfv-o5e-a discontinuity where the rope becomes thicker 6: o5o3ocv-vfa-4hnx ed gci8e3 0t bkjl8br)and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal /pd po eyhxc1w7n6-)s positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the l-y h)6e7wcxop sd/ 1npeft. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each,iaf tg) lj5f9ik ,yt1rg k7r6 other 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 directi,1ijkilr6g)f f t y k59gr7at,on. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fr abah( u*88k .0pr1bsom 2+g8blfo zaixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundabke0r9q:h iwd7 7e5 bpmental frequency of that string will incbrhk09q5e 7ibw ep d7:rease by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when a ml ym,8r+h8xpd ass of 0.600 kg is suspended from imh+,88dr ly xpt?

  A mass is attached to a sk: snrqde8vgl.*)* hwgw29 ngpring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is idgwklng*98hg en *2w.q)v : srnitially 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 amplitude?

  A mass is attached to a spring of spring constant 60 N/m ic fm9tk3( tm0,kiy;i15vx1otav5sq along a horizontal, frictionless surface. The spring is initially stretched by a force of s5atc ii; k39movm11 v y5tx0,k(tiqf5.0 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 awvqlqgx18 6fhyi);l pe 53s3 l 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 osepsiw h8 qyfq1 5)36 l3;gxvllcillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. i n3dh6wvodk22b d,xbyb 8p6* It goes through 10 complete oscillations in 5.0 s. What is iyv 2hbn36 8kx2b*pwb,dd 6o dthe period?

  A mass vibrates back and forth from th9v.d( t 6g szrnwf(v6bb9)q yae free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibratingqv . zb)9(s wtbd(yag6fvr69n mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring consq;vjzu ohq399 +kl mn8tant 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. W3j+ 8;zk9nqm9l uovhqhat is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energ:z bb)5eb hzk1y is 8.0 J at this time. The mass is cut hb) kz15zbeb: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 to a spring of spring constant 20 N/m along 0:q kguqm.3g 8hhk) yia horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. k gqgy .8qh: mu0h)ik3What is the amplitude of vibration?

  A 0.50-kg mass is atta36nvqdvi 0rii.z.) ug ue1lp5gr (f +nched 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 equilibrium position. At what location are the kinetic energ .lvqrune 6dr+0g3fnp5(i.g zi iv1)u y and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horizontal spring of s ba*w v7p5h+pwpring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this vpwb wp7h*+a5 system?

  A 2.0-kg mass is attached to the end of a horizontal 7 xc8csdq fr8qkk.g+r0s8 7kispring 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 this sd f7rs+kq8 0rq7gcicx8.skk 8ystem?

  A mass vibrates back wakdy y5id+x mp 65t.7and forth 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 kinetic energy of 5 w. dtm+ydx7ap 6iy5kthis vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its eq2e 1eshop ,t.tuilibrium position and rel. 2ett1 hsepo,eased. A frequency of 4.0 Hz 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 o v3s.gp5zfgo):wa5lfkx4h p 8f spring constant 10 N/m. The object is displaced by8)fxlg. 3 :5zgh 5kvsfpoa wp4
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 spring conw1 cwys:t1 2yczs0p j;stant 10 N/m. The object is displacew 1jysc2sc0 w1;pyzt: d by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung fr xew8be 3i*/khom a spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibrxee wkb3h /*8iation?

  A mass is attached to a spring. It oscillates at a frequency of 1.2k3 ;7zou+mxte 7 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by thk ozt; 7u3mex+e mass?

  Two masses, A and B, are attached to different springs. Mass A vibrz-n r*t ;p0iskt y;,ajgw;f x+ates 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;xtr-k 0 spwya if+nt, *;g;zj maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspendd1y5-:: uzzvrrpu; e ced on 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 pury: zd rc vz5:;e1-ufrom rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium thpp:a5un.* khpzaetkh *.v6rtix2y hp 7p)2y.e mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distanc.yanhavh.kppk pp)2**6ye 72: rtxi hu 5tpz .e 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 equilibrium the mass stretchesf 2225wy4 eugsyzl9 qj:bq5i0cp*hu f the spring 2.0 cm downward. The mass iz*:up 52 54q y i0fcbuh9sjq2gleyfw2s then 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 position versus time eqdj;:if25b jhiwp(s n4 x ,f2rkuation: 2ij;is(xdj:4hr,npf5 k fw2b
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic mxwh g,eb;,x f9otion obeys the following position versus time equaxf, ,hxw ;g9betion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple h c9*xl i.kjc)warmonic motion obeys the following position versus time equatwkxc) c i9j.l*ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spr2xl ;o4-;xkrzwgrz(r ing executes simple harmonic motion according to the equatxzgkr x rrl(w-z24; ;oion $y = 0.50 \; \sin (18\pi \times t)$ 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 oscillates oeomxj: ,4 rs lup45 qtd+4u fk5gpso 1iz0-)bmn a horizontal, frictionless track. At t= 0, the mass is released from res+f5x ezqtp 4 go: mkbsmd lor1)-u44si5,p ju0t 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 x jby.1 1nz-rtueg;w5 complete swings in 8.0 s. (a) What are its frequency and periodg.ewr - u;n51b zytj1x on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its period bx bh2b :lp)i/on Earth?

  A pendulum has a period of 2.0 s on Earth.8nv6z (j gq/e jx(;vyyctqz6 /rw *e8l What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What o1:6rjghe o :e v3ca7wis its period on the Earth:owha3e og: 7evj 6rc1?

  The pendulum of a grandfather clo6 a6vay+a0fag tq t4.ock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is on46+aqt 0a . fta6vgyoaly $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical miljj7b u(g(f5ass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and fou7(5j(blf igjrth 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--xoral*e/t9pe vj 2j3 .d,fh bg mass has initial angular displacement of 8.0e. It oscillate3fd . johx 9,tr*-a/jlevbe2ps 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. re* 5so a,kdy0The frequency of the wave is 120 Hz. What i,ra*y e5sod k0s the amplitude?

  Figure 11-2 is a "snapshot" of a wave atqnho /3f3m 0la a given time. The frequency of the wavf/oh nqla303 me is 120 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a giv f54yzl,ne uf9en time. The frequency of the wave is 120 Hz. What is the wave f4zul5 e, 9fnyspeed?

  What is the frequency of a wave which has a period of 6.00 ms ml1h8s9b +nht,ytln-dg q4j8?

  What is the period of a wave with a frequency dn9)qs ;xp i/jof 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz 8r 1il*l yz67as )wuizand a wavelength of 3.0 m?i u86r)ly 1*lsiz7zaw

  What is the velocity of a wave that has a wavelength of 3.0 m an6 uf+3ai 1nsuc1kiz svi;lm2*d a frequency of 1f u 6n vi;k2um1i+* li3scs1za2 Hz?

  What is the frequency of a 2.5 m wave-2lp vz2ap-sn50fk ayu2*v)tk7 dpz u traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a t(tnx4db)h ra.ension of 1350 N. What is taxdh. b(n)4 rthe wave speed?

  A string of linear density 6.0 g/m is unde2y3i c:kuz sjbd 7k(4qr a tension of 180 N. What is the velocity of propagation of transverse waves along the strk4 uq:dj7 3y c(kb2zsiing?

A wave whose wavelength is 0.500 m is travy y5 n*0ocfvt-eling down a 500 m long wire whose total massf* yv05-oyn ct 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 ofmdyh 3:*uo2wrv5 :5s: jzuubv a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which ow5:*:rzu uu5:s3vm jb vdhy2one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 50l8d6k ae) y8 x5jj5;s ckdkvv50 Hz, which one of the following frequencies can 5d5vksd8y vc jaeklk )865j;x set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a p ew 0dl(ugqo,yi55k fx3m)r :standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave wito(0q 5frk3xg lump ye),5w:d ih five equal segments?

  A string, fixed at both 3 2entt-utyu7 6vnn)yends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standin6 vyyt2t)nut -3nue 7ng wave pattern is to contain 4 loops?

  A string of linear density 1.5n a/i *y z9j*tht(9ptt g/m is under a tension of 20 N. What should its length be if its fundamental resonance fr/ta ty(t*nji9 z 9t*phequency is 220 Hz?

  Find the first three harmc-yg 2zld.2 6 7 rqrsia ;sq25jkav3ly2u9 lxuonics of a string of linear mass density 2.00 g/m and length 0.600 m wheaa xgkj uvl262yzqs7yc2rs5d .lr2 - ;q93uli n it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the stil(fnhr8gib2r;qu/ 8ring vibrates at a frequency of 85 Hz, a standi bu inl;rf/( 8rq8hi2gng 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.