The time for one cycle of a periodic process is called + 3z28,mjtqq* chfklg)bjbn 5 the

  For a periodic process, the number of.p,k mv *2o;wnkktdr 8 cycles per unit time is called the

  For vibrational motion, the maximum displacement from the 82d tfmz5hj cumyq58,equilibrium point is called thecq8 8fyu5md zjm52 ht,

  A mass on a spring undergoesxx/o::kxv 9e py-q4qo SHM. When the mass is at its maximum displacement from equilibrium, its instantane9oxkp ex:q:- vq4yox /ous velocity

  A mass on a spring undergoes SHM. When the mass pas mh5( y),7ij-r(e hxz*psb+fr ktwr2zses through the equilibrium position, its instantaneous velocitbjehtmy5hr)r (ri*z 27,( psk-+ xzw fy

  A mass on a spring undergoes SHM. When the mass ;z)r// gxtct1ty-v jwqv5 +jc is at maximum displacement from equilibr/xvrq y -c)5tgv+1tjzc ;/tjwium, its instantaneous acceleration

  A mass is attached to a vertical spring and*xaf mv23 8mkh bobs up and down between points A and B. Where is the mass located wm* mhf23k8v xahen its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and dob3negq xec*-- wn between points A and B. g-qe*ce nx -3bWhere is the mass located when its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between poiz+ +/d:z 9i( x zyaj9yv09ucrzgoyhq5nts A and B. Where is the mass located when its potential ene:z xoyivryc (za /+ qhy5+ujz99zg90drgy is a minimum?

  A mass is attached to a vertical spring and bobs up and down b 9dyu0 oe9f89gp d+ghlba jbope,3:5between points A and B. Where is they huge p3 9,bd9el9 o pbo0bg:d+af58j mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spr.w:get4 kln 1iing system produces what effegi:. kltwne 41ct on the system's mechanical energy?

  Doubling only the mass of a vibrating mass-and-spring system produces whah )h)nkb 4c5rkbi73lmt effect on tkh5m)r)4lkhb3bc n7i he system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring f9 i3me;z*r y7srsi x ,a;3qpxoh67hg system produces what effect on the system's mechanical ene *s7hzaf im9 re7x,p3qi;;y3h gxrs6orgy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Where mnw3 a.dr x4 ;g9kz-izqyu*o0is the udg- w.ymnx9q3z40ra i ozk *;period the greatest?

  Increasing the spring constant k ofttt:zrrnb5t (*p bd1 *xw - 10zpnijwkf4pi96 a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in th-9nwrkzdi 0* 41 r1( tntw5ppt:xij6t*fbzp b e system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of cha+ zwdt( 3ua mo:nbkfm ymcbf.c 7(y6)3nge in the resonant frequency of the system? (Assume no change in the system's spr3m)m(d7z b(fc.wtakm uc 3byf+6y:oning constant k.)

  Increasing the amplitude of a 0 j7uo xvdkp1o (z1mox (3hk8dmass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no othe zp1 oxjxkhmou17k8 (v0(od3dr 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 k4ccj4uhe tp:;j)f 46 7kisr*xok(sy length L. For this system, when undergoi 4sjt cx kiks4*oe7rk;)hf:u j yp6c4(ng small oscillations

  When the mass of a simple pendulumok xhw1y6b9c 7 is tripled, the time required for one complete vibration ob9chkwyx617

  Both pendulum A and B are 3.0 m long. The period ga)m4wu sski3/(z; 8lcdobul2 7 0ekgof A is T. Pendulum A is twice as heavy as pendulum B. What is the perio8k7d4za (gkol s) uuc /230ibwge;l smd of B?

  When the length of a simple pendulum-u tt3 h2;cxnr is tripled, the time for one complete vibration itrt; xnu -c3h2ncreases by a factor of

  What happens to a simple pendulum's frequency if both i i .3d* r;ig)mgeql.67w ll6fkg4 alojts length and mass are increased66w;ik4e7godmq.ll) .lg*3gf j irla?

  Simple pendulum A swings back and forth at twice the fre4 eo6qvgjj/q.quency of simple pendulum B. Which statement 6.ovqe4gq j /jis correct?

  If you take a given pendulum to the Moon, whok3i fef(v2-z ere the acceleration of gravity is less than on Earth, the 2f-eko (zi 3vfresonant frequency of the pendulum will

  Curve A in Fig. 11-1 repzw095ho 6zefy*zf . jjresents

  Curve B in Fig. 11-1 represent8wu 73l8w 1p.pq ,yb)rqurvkr s

  Curve C in Fig. 11-1 represea3n/ehqz - okqqgf25 0nts

  For a forced vibration, the amplitude of vibration ys6pdwcts: wi - ag975is found to depend on the

  In a wave, the maximum displacement of points ofje wh. np-:9 qq)wf+er the wave from equilibrium is called the wave' newfrq9jpqe.-+w)h: s

  The distance between s5 8/od )g1 9wm,ezeeackxqkc h8.n6csuccessive crests on a wave is called the wave's

  The number of crests of a wave passing a point per unit ti t+ wj*g.ob8c u5;unabme is called the wave'gnou58ba wuj *+;c.tbs

  For a wave, the frequency times the wavelength is the k1zrqy: *kucj +nsbx.568 f elwave's

  The frequency of a wave increases. What happens to the distanrdg 9lgs *gm d.iu*5b;ce between successive crests if thum*d5.ig dgr;s g*l9b e speed remains constant?

  A wave moves on a string with wavelength l and freqccjqt-l* ))6p lmj ny0 )s*tmkuency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the f*q )nc s*lj t60)y-ptkmm)l cjrequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tension T. A st d:94iz apxxvdm) /6ovanding wave is set up. Which mvz6:9x vdx)4dia /po of the following is true?

  A string of mass m and lengt*27/5m ybbel+ zd wvmt/li6cdh L 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 st+bmedl i/*z 6 m vl25yd7/wtbcring is increased to 2m, with no change in length?

  A string of mass m and length L is under t w df*2cgo-m3,l -q+ocyebo ,jension 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,- o,jbw-dq2,*ycoo g3elfc+m with no change in mass?

  A string of mass m and length L is under tension T. The id6.g y2mlti -92wgau0lx 6bispeed of a wave in the stringlimib.l0ay-du t2 w9g66gxi2 is v. What will be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a 0/ tb.n:ygkai0-oe uzv(mg k guc4f , ,z2ok*gtransverse wave. As an S wave travels through the Earth, the relative motion between the S wave and the f 0ug k4tu,zkn zgmyo2(,cgb.eoav*0:ig/k- particles is

  In seismology, the P wave is a longovg 4 v xrs*.zs1 vt(2..6enng7ydyuqitudinal wave. As a P wave travels through the Earth, the relative7uyzs .4g s6do.geryv 1vqn( 2xt .n*v motion between the P wave and the particles is

  The intensity of a wave 6 xia/1cex pv1eo15p/yni 3czis

  A wave pulse traveling to the right along a thin coqckgsyciu/ s;,br(/*77tz z6ik-zr z rd reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted k -7z7cki( y/q rgsb/,czrszt ;*i6zupulses?

  Two wave pulses with equal positive amp27 k b-rywejt8litudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same -28b 7kejwy trregion of space at the same time

  Two wave pulses pass each other on a string. The/6) vn- uz8qrtj cro6h 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 time6o/h cq)r8uztr6nvj -

  Resonance in a system, such as a strrl 1d(a3 fvlm/ing fixed at both ends, occurs when

  If one doubles the tension i7or75b6w*omnxio dz, dj0jn)n a violin string, the fundamental frequency of that str)7,ndx6m5 iowdo0*7jrbz oj n ing will increase by a factor of

  What is the spring constant of a spring that stretches 2.00 cm when ay8diz ymn)ts/ /y+ppfry(g;2 mass of 0.600 kg is susg(sf2 ptidz8);ny /myyyr/p + pended from it?

  A mass is attached to a spring;8a.5*jrw dpr qfk o5p(s c,dd of spring constant 60 N/m along a horizontal, frictionless surface. The spring is iddf*c5 d; r5(8,kqj.wsap orpnitially 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 spri h1.) twi; cdp:cqm)rtcxa/b. ng constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a forc);bm cdt). 1cc q/pwh.iax: tre 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 spring of spring constant 60 N/m algx41jsnn(d hv/q91wxecz8h +81r kov ong 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 oscillatings+vcz14n 9j1xhr(ngx wq8ed 1 /kvo h8. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goesy psfb j5( but n)if:z7a3pg*rqu 8c,0 through 10 complete oscillations in 5.0 s. What is the period?aybnps 7)c(3fgif,0q8* up:buzjt 5 r

  A mass vibrates back and forth from the free end of an ideal spring msdk6l* k yzj1eq*(5 0wyt 9ucof spring constant9wd65 eyl*kj1zu 0ctqmk s*(y 20 N/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 spring of spring constl fj;rvj t)9(jab/q *yant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a spe)ja;b j9vlftrq/ (j* yed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J dp : *fm6pfi8iat 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 systei ff:*p p6dm8im now?

  A 0.50-kg mass is attached to a spring of spring w)6oi u*r3j t0-dd dexbcn0qttvq ((:h5va) o constant 20 N/m along a horizontal, frihw)v:ti0 bd( *d- o053q o )vxc6tajnur(te dqctionless surface. The object oscillates in simple harmonic 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 toz/uzay9, g eq vk: m0y1xv6,og 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 wa1:m,vzq vu6o9/gxg 0eky z, yhat location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end okhdm 4f*p h.0;an+jmn f a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amp n*+pma4 h0kjfd;n. mhlitude 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 hol )dhbfun2 2gflq- u61v :d.eprizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0)leu2g dlfn.b d-1up qvh 2:f6.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring of spw pft; l91jh)mbb3b b5j9vbr )ring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of t9wb 3f bhb)lbj)1 pj5brt9m;vhis vibrating mass?

  The mass of a mass-and-spring system is displacef.xm *ua0h6ked 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass had beh ukme06x.a *fen displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a sprivjakf/ 7 *ytqmsh417 serq -x8ng of spring constant 10 N/m. The object is qa7sxjqktey8 vh 47r-* sfm/1 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 of s,fqfu8c;.ox .v cninmc/4 2 gapring constant 10 N/m. The object is displa iqm48cfa f,c;ovcg/nx .2.unced 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 11 zfzf.o2zo: l8 N/m, displaced slightly from its equilibrium position, and released. What is the f 2of fl.zzz1o:requency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz wh78kcvl 7w thp4,u6ojden displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by thw4tu c6h 78lok v7,djpe mass?

  Two masses, A and B, are attached to different springvin6/bsfgbt2w 9s 60k s. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and maw29k 0gbss/6n btvfi6ss 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 spring. In equilibrium the mass stretches thejbg ka/d.u69j spring 2.0 cm downward. The mass is then pulled an aa9du gbj/6 .jkdditional 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 equilibrium the mass sthb- zv /td6ek3retches the spring 2.bt /v63kdzh e-0 cm downward. 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 onhs7 jz8hts2nv)6*v vv a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an adnjvvvh8 s*6 hs)7tz v2ditional 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 timx (/i62pwyvc ;0p8mign wc 8qge equat wnpp8g2ig (8y 0 ;mccxw6q/ivion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus 1f+vx h(hrbcvt 4zn6j46wn:w time equation:bn nfw t4jv6w hzv: 1c(6h4+rx
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position zr0nis/s:hn7 8+m pch1ge:9qz2 abd qversus time equatiz2 gbh h7zncqp8m/s9na 1+:qrsi :0deon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of ah1rg)we/ w tt3 spring executes simple harmonic motion according to the equhtw1t/e)w3rg ation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached 1ce x,+yoh8/cbn g-a6 d8in hyto spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10.00 1 cao 8,dx8c6 ng+-nh hbyeiy/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 iz(rd :d vpvl-7;z8l/ijyz3r cts frequency and period on Earth?:zryvi; dz(vrdp7lz3 -cj/l 8

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ear2tc jd+lo6 7s0a7ha/ub; pqk mth?

  A pendulum has a period of 2.0 s on Earth. What is its length wk v 2oakx);c( njbnasq:0c61?

  The pendulum of a grandfather clock is 1.0 m long. What :ssi+y5urh b/is its period on the Earth+y /:hbrusis5 ?

  The pendulum of a grandfather clock is 1.0 m long. What is its period se6,m)ec.za) czuwg7 n4i 6vd on the Moon where the accgm. cin,e)s6 acw vzd647u )ezeleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless stz *4qv,tugs i:ring. 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 *,4si zq:vtug 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 :kbkevh z:-s7 angular displacement of 8.0e. It oscillates with ksekhv:z:b 7-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 "snapshotw5awl;ovx619q r x /ke" of a wave at a given time. The frequency of the wave is 120 Hz. What is ;lo 65k v9a/w1xwe rqxthe amplitude?

  Figure 11-2 is a "snapshot" of a wave at a gmbsqls,h 6yxb3d7m jr0+rz) * iven time. The frequency of the wave is 120 Hzsxr6,0+mds 7hlr3 bq )mj yz*b. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. Th :qr dyay6ikrav(i3yt 669l:ge frequency of the wave is 120 Hz. What is the wa96vat i6ra:rq63l(ygd : kyyive speed?

  What is the frequencyov +o 3u:7gdw8z(jo f/pyud-l of a wave which has a period of 6.00 ms?

  What is the period of a wave with a frequenkls fu7l1v 2)qcy of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz and a w-rt0o f --7pcz lns2ueavelength of 3.0 mo- e - u-02fcz7tnrspl?

  What is the velocity of a wave that has a44khh yx3*y521ko fgceqh wv7 wavelength of 3.0 m and a frequency of 12 h ocqv7kkx5*h4w3e14hf2 g yyHz?

  What is the frequency of a 2.5 m w +mes0k f::sp*lhz9d )j1dbpkave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 a1j+p ohf2b) jkg/m is under a tension of 1350 N. What i2o pfbjh1 +)jas the wave speed?

  A string of linear density 6.0 g/m is under a tension of u1kd8c5lo6 tp180 N. What is the velocity of propaga kd8u1c6p5t oltion of transverse waves along the string?

A wave whose wavelength is 0y )bdwam z0*u4p7q av*a g9og7.500 m is traveling down a 500 m long wire whose total mass i)*yq gd 4gpo*mzau vb709awa 7s
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 propagation0ov 34yi/rt3 bh81 e 5msvosit of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Whi0 54tersi v3tvm 3sb18y o/oihch one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whichs na9)mc2c h9nwzr+ g, one of the following frequencies can set the string into resonant vibr9ca,)hzwn gc s29+nr mation?

  A stretched string is observed to have four equal segments in awgz8tmbw6z +kk5 tbkm7 a1g4. standing wave driven at a frequency of 480 Hz. What driving freque gm b7t5g4kmztbz1wwka6+ 8k .ncy will set up a standing wave with five equal segments?

  A string, fixed at bot4ek :o rd/gas,ks p/7 q*bd5hsh 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 pattern is to contain 4 loops? skbq e d5,*7gso4r/kdph/: as

  A string of linear density 1.5 g/m is under a ten,c18sw9 ebqxtr9 bla; sion of 20 N. What should its length be if its fund r9b;l exb8a1ts cqw9,amental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/m and + f;lhs e+mad,length 0.600 m when it is subjected to tension ose+;dmhaf+ l, f 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibrates2q99xd 9t(4 fbkkx8 4zjyckqy at a frequency of 85 Hz, a st 4bkk99 fjd 9yy(xkxz4cq82q tanding 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.