The time for one cycle of a perj( +4gqi u twp2*mfe5sq7 ;seciodic process is called the

  For a periodic process, the number of cycles per wyt*rhs*-dx/unit time is called the

  For vibrational motion, the maximum displa: c-amqg ylt**cement from the equilibrium point is call*l*:y-at m gqced the

  A mass on a spring undergoes f: jh 2bv+ -xhai7lzz(SHM. When the mass is at its maximum displacement fromvx+h-7 iz2fljhab z: ( equilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the 5y zy)j x;8i7-hkl rpbp .d+ttmass passes through the equilibrium position, its instantaneous veloci kbi+yzld.txyr; j ph8 p)7-5tty

  A mass on a spring undergoes2vrd;p0,jbznm /s--mw 5wzfqf cu5i-im78g e SHM. When the mass is at maximum displacement from equilibrium, its instantaneous acceleratio-; czrg/5 dni0bffjm7 i,z mv-wq 2ps-58muwen

  A mass is attached to a vertical spring and bobs up and down between points *lcqf,*bx+bv ztp )y +A and B. Where is the mass located ), t*c xbzv ++qlbf*pywhen its kinetic energy is a minimum?

  A mass is attached to a vertical spring8 pa9ek8j; z9rlya c2q and bobs up and down between points A and B. W j2rpayl;8kaz9 8qe9chere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a v94*e .zqe spiaertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a min9i.e zsaq4p *eimum?

  A mass is attached to a vertical spring and bobs up and down between points 9*2u6ur crzho A and B. Where is tzhr*cr9 uo2u 6he mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-springrqo25g15areun f z25ro1*a lvuhnv ;7 system produces what uqln57zragre nvf;o5o5 v12* aru1h2effect on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whazicqd2s9 nwwhk. , j22lq* u*rt effect on the system's mechanical enerqz9jriwd2q* l.*k2sh wu cn2 ,gy?

  Doubling only the spring constant of a v oy2;jsjjd;y3ibrating mass-and-spring system produces what ef; djyjs23o;yjfect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon 1did s b5z;61phm*fy4zgu4j 4nzazl:. Where is zz*: z4a lzs gf5;ud464yh1ni1m dbpjthe period the greatest?

  Increasing the spring constant k of a mass-and-sprdzd2//x.e hpiu7in hk8bfr 00 ing system causes what kind of change in the resonant frequency of the system? (Assume no hh0r 70 ii2/bud xp/edkn.f8zchange in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes .yqa s+f0 ive:al9eh0 what kind of change in the resonant frequency of the system? (Assume no change in the system's spring 0s9aqayei0v .ef h +:lconstant k.)

  Increasing the amplitude of ais,wb-vlz g;1u xz()i mass-and-spring system causes what kind of change in the resonant frequency of the system? (Abv;-(i1iuzs )w zl,gxssume 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 weightlesstxm(ko9 -sh5p string of length L. For this system, whh59k-x p(ts moen undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time rgr jrmz 6h5y8+ 9ifr,lequired for one complete vihr5ziyr6+ l9m f ,jr8gbration

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A isivyed+6xs;nld 7 re;1g i :e2c twice as heavy as p1c: ;s+dy;nield g ex6ri ev27endulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vibra owlvp 3n(u/6etion increases by a n3(ovl 6ue pw/factor of

  What happens to a simple pendulum's frequency if both d14rfpu/ yp)0s(/nwh 9nfv57z dxbedits length and mass are increasyefdsw9b1u )z5dnr/ (nvph7 d/f x 4p0ed?

  Simple pendulum A swings back and forth -st5l;np x 3xiat twice the frequency of simple pendulum B. Which statemitp3s-n5x l ;xent is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravit y78rf2vt 9(msu )kktwy is less than on Earth, the resonant wry8( t2kfkv s 9)7tmufrequency of the pendulum will

  Curve A in Fig. 11-1 represents:xci+h,y9 w,gd3t, )6gxx bepngypb,

  Curve B in Fig. 11-1 represengo3kp6lvwhe/2 x 91mb ts

  Curve C in Fig. 11-1 repuh;zu* 3wqq7v mn.v9 qresents

  For a forced vibration, the amplitude of vibration is found to degaut*2 xgpp-:sa1s6 yx x ),oepend on the

  In a wave, the maximum displacement of points of the wave from equilibriu3+jm6/rime qzm is called the waveimqe +r/j3z6 m's

  The distance between successive crests on a wave is called 5-9gfooqp)o6-bdi ecl 7 g1qm the wave's

  The number of crests of a wave passingrm+,8tvb9pt :bb 6s)ib7s3js 61ji seh5jyhz a point per unit time is called the wave'p5bb,ijv1 b3+iz7bt:m9ssj e8hy)jh t 6ssr6s

  For a wave, the frequency timessbqjg k;y.07t0j gd.p the wavelength is the wave's

  The frequency of a wave increases. Wh*3jvsp1qhr i +ty(k*gat happens to the distance between successive crests if the speed remains constahr +spj vy1* (3*tqgiknt?

  A wave moves on a string with wavelength l and frequency f. A second w.p d1 idgni1t fxs+q-*ave on the same string has wavelength 2l and travels with the same velocity+1d.tf*i1n s- q xdgpi. What is the frequency of the second wave?

  Consider a traveling wave on a string of length Lb (qa ckh*p,rjhg 3lf:lya 1/7, mass M, and tension T. A standing wave is set u,/aajc*f hl(k7h :g y1blpr3q p. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of - x9rz9u/ylgfl7 0qn c8y-y yay+b ,zca 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 no changzagqfyr0cn-9+lzy7 ,u8/lbyxycy-9e in length?

  A string of mass m and length L is under tension T. The speed of a wave ij +h09da;ysr n8ef2+srehy 8c n the string is v. What will be the speed of a wave jcr 8eysr 8dy 9+ea20+fhnsh;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 axw /-rmneh8 7p wave in the string is v. What will be the speed of a wave /r-x8e7w hnpm in the string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels thrjo j:k7aq/;w 8 omwi8k2dr4gs ough the Earth, the relative motion between the S wave and the m2wi;gda rksjo 47q: jk o/w88particles is

  In seismology, the P wave is a :d 8((*b1uf t1ff oh5v+dim n3gsriovlongitudinal wave. As a P wave travels through the Earth, the relative motion betw1d1 v: b5 firif(ofosv u3gmdht+8 *n(een the P wave and the particles is

  The intensity of a waveuuufo;3 osh/m oyv*:tdqc3: 5 is

  A wave pulse traveling to the right along a thin cord reaches a discontinuityr8mfn4h le9nc25 c;lc where the rope becomes thicker and heavier. What is the orientation of the ren h;lc4mf2 98r 5nccelflected and transmitted pulses?

  Two wave pulses with equal posi0d(r.8 )cihsb xyjf8 rtive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. Atcfi)r8d x h.yr0 bs(8j the point that they occupy the same region of space at the same time

  Two wave pulses pass e+8o:q 3ibcvz2qbl : zqach 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 direction. At the point thzvq83lci2 +qb b:oz:qat they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed at btkv95mgo +qejj)* oadwdqb8,5 770gygrt zi,oth ends, occurs when

  If one doubles the tension in a violin string, the fundzs xu-z- y4l(uegvl 41amental frequency of that string will increase by a -yv s lex41-u 4zlug(zfactor of

  What is the spring constant of a spring that stretches m(zi.ifa ,a 2j2.00 cm when a mass of 0.600 i .jafam,z(i2 kg is suspended from it?

  A mass is attached to a spring of spring constant 60 N/m along a horizontala340tacos+vzv)bf, .mcpd cm a 68:le, 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 fvc ale 3+.az4cdb8po, :s6a) mcv mt0go 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 1u0 /-ykfx.di b aasa,q: oo;ca horizontal, frictionless surface. The springks1.uc : ,ay od0foabia ;-/xq 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 oscillating. What is the period of oscillation?

  A mass is attached to a sjw dk+lori0 av0c 44w9pring 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 bro i4v0wd 9+4kw0a cljack to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring unde ckv euv.9b):7o9ssin rgoes SHM. It goes through 10 complete oscillations in 5.0 s.cikv): ob 9e .svnu79s What is the period?

  A mass vibrates back and forth from the free end of an ideal spring q xalx ,.wr*equv*6 x3 .jbd2uof spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energ,qx*rulj dxw*a6. b23.vu eqxy 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 cm8tg 1(x:q:fqtc3g qa onstant 20 N/m along a horizontal, frcta8:t3 g (fq1x q:mgqictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with ry.)ktep klg9+g)k0fzt 5p0famplitude 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 witg)kf fl0 )t.r5 p9tzpk0y+ke gh 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 a, j h7k4fx.b ud;sq;g0 nuvsu* horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position ;,unbghdu7k;s*v0xu f .qs4j. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horizonwz j*vw:bu.wjyhf ,)t/tt.:x tal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the ev/whw: f ..tx)t*tjwu,yb: j zquilibrium 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 sp//owtkvit 7fk8 g+.f c.ru hr;ring constant 50 N/m and set into simple h..v7tr/hr/c ifu+ k to;w f8kgarmonic 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 spri;wtykdwj90j +xp q-7 hng of spring constant 50 N/m and set into simple harmonic mwqdy+ k90t x -;jp7wjhotion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back andx ((, r1tg*)ebcztnkv 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 this 1)(gtz*nv ,x crbte(kvibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibrir r;u 39zg0 jgjinh2z8um positiongj h8g0rz9u zij2 ;r3n and released. 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 attachdv71 es z t(x;osl8od.ed to a spring of spring constant 10 N/m. The object is displaxd; oz.7se8( lv1tsdoced 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 f6glw5 ftvcww :6g+x1of spring constant 10 N/m. The object is displaced cfvwx6:tl f5gw6w1 +gby
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung fromh*m jt+9so+vc (v,-ysrt fok + a spring of spring constant 18 N/m, displaced slightly from its equilibriut yv h9 +fm,srkv+*ocos+jt-(m position, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz ,lzlm7ot)7 .p tr-g1b gn/oxvwhen displaced a distance of 2.0 cm from equilibrium and released. What is the maximlb7x1go v/ttp, z7)nr -o. mglum velocity attained by the mass?

  Two masses, A and B, are av j.sc+ej wp5v;4 d,*tqmd4cy ttached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and md pc4.s*+mwvc e j vqtd;j4y5,ass 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 suv *+3nbnthg- drmlv/.spended on a spring. In equilibrium the mass stretches the spbv +-.mrnhvtglnd /* 3ring 2.0 cm downward. The mass is 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 qdr, q9yhu 7ck ) xy(r25;sk8)icvvajspring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additqkujv);59(8d2h7 sc)xcak yry,iv rq ional 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 a spring. In equilibrih fjcokx0m:p:l-bp2c; k+ bn /um 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. Write down its equatcn;x- ml2+p 0kbok hj/:fc :pbion of motion.

  An object in simple harmonic motion obeys the following p,qtbpg)v0li y +u:y/sosition versus time equati),s0 /y:+pqltuiygb v on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeysmlb0m-/ea/hie re b-( the following position versus time equa e/b-era/bme-mli (h0 tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys th0rp0i;4(ybf/ dvyhr ze following position versus time equati0i 0zyhyd (/pfrr b;4von:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmondgri:xc /1. r; ja71ivrwpj nn 2/gwq6ic motion according to tn pr:vww//;q61rrn aj7cig 2g1. jdix 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 to spring with a force consj8hwp g ndg(s,/a hm:,tant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released fjnm phgh8w/d:a(g, , srom 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 swie-9tv hxz3 94e6t fkeengs in 8.0 s. (a) What are its frequency and period on E keee9 v9tzhex4 t3-6farth?

  A 3.00-kg pendulum is 28.84 m long. What is its period onax03(5: tvcot eaxdp2b5g .hw 9 sz+1dysn8ue Earth?

  A pendulum has a period of 2.0 s on Ea(a.s 9j +lvqjq1omw q0rth. What is its length?

  The pendulum of a grandfather clock is 1.0 b+sq u.ci( do1m long. What is its period on the Eab(q1 c. uosdi+rth?

  The pendulum of a grandfather clock is 1.0 m lor 68uv(r,dk4 air4df png. What is its period on the Moon where the acceleration r a,r4r4fpud6idk(v 8due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consi r 41gi:wlelw5sts of a 0.25-kg spherical mass 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 1rwwl: l4g5 eiresulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g ma :)f12wcicm wgss has initial angular displacement of 8.0e. It oscillates with a period o gcw1fc2:w) mif 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. The frequency of theny9 to..+:c vyczqx3u wave is 120 Hz. W.zx3ynu9: ct y+qvco.hat is the amplitude?

  Figure 11-2 is a "snapshot" of a waqqyt aq,(1o8nve at a given time. The frequency of the wave is 120 Hz. What is the wav1 qay,ntqq8(oelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of +,zp6 q7bey:bj+qqh e the wave is 120 Hz. What is the waveb b7 q p++y6hz:qqje,e speed?

  What is the frequency of a wave which has a perns7 m6b xcf58zq9*fnyiod of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hz rz0s d,8lnoe.?

  What is the wave speed if a wave has a frequency of 12 Hz and a wav-n6 wpjta36/ xdmnhf5 miw6y2elength of 3.0 6twfwd53i62j nxy /npham-m 6m?

  What is the velocity of a wave that habyg 68-:-txewbigw/dn m6mn(v . dez+s a wavelength of 3.0 m and a frequency of 12-/6 x b m-mvy:.+bw6idned ezgnw(g8 t Hz?

  What is the frequency of a 2.5 m wave trav;k zsfmfp75i4 eling at 1400 m/s?

  A piano string of linear mass densitylqd49 z:gu v2dry;xpy ,g sgya3tu) 7, 0.0050 kg/m is under a tension of 1350 N. Wy, au;qg2pl34,u d)rys:79yztg dgxv hat is the wave speed?

  A string of linear density 6.0 g/m is under a tension +0y6iw-0j; ol4lyx f vguoa-oof 180 N. What is the velocity of 0xvfjuw+o04o -o6yy-iga; ll propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m3 * fadwq-/zsqf x36i9gl ky+/. sxcws is traveling down a 500 m long wire whose total mas ial *63czdsq- xfwfxs39+kgy/w /.qss 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 y6m2c5;aciqn-6h0y3d-r yfykk yx, i 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonanty c hfc ,-0-i3mk2y;airy5 n6 ydkq6yx frequency of this string?

  If a guitar string has a fundamental freque a(j*/*f4ai3exbtp5q.:)qyrw diyzw ncy of 500 Hz, which one of the following frequenci.)aqqyftabiy * wz 5 /rwdj(:p4 *3xeies can set the string into resonant vibration?

  A stretched string is observed to have four equal s6obk.j9nk1y)ko n8 g3 z0apreegments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set up a standing wave with five 0kr.8na kbz9 gk)y 3ooep61nj equal segments?

  A string, fixed at both ends, vibrates at -.3id)m3p ej6 vv neyxogmk9ihw5f23a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave patterndm .imx-pji6523h)wvevk ng 39ef oy3 is to contain 4 loops?

  A string of linear density 1.5 g/m is under a fmvq.) wmkhzf l3aign4f6a u(3t5-2pe o- mo5tension of 20 N. What should its length be if its fundamental resonance frequ6igf-n .m kmqw2tf(m5uf5lze a43)3voa-poh ency is 220 Hz?

  Find the first three harmonics of a string of linear mass dens 0usdcpg ykby)7e +g;n5m4j d9b f:1ocity 2.00 g/m and length 0.600 m when it is subjected to tensiondy9fb;p5 nc0ye+1)4j :7gb od csgkum of 50.0 N.

A string of length 2.5 m is fixed at bon +we8hd.pb.zsgtw5 0th ends. When the string vibrates at a frequency of 85 Hz, a standp 0+gnb8swt.zh ew.5ding 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.