The time for one cycle of a periodic prsh g g76/rk3f1qktlcg8;vl f,ocess is called the

  For a periodic process, 5 a urt)f2qy3dfwx(q res0v* rg;bt+ :the number of cycles per unit time is called the

  For vibrational motion,8 chj-ek-k) az the maximum displacement from the equilibrium point is call8j)a-hzk -ec ked the

  A mass on a spring undergoes SHM. When the mass is at its 1azc(8ofnqx22rku bur w ;f6ev7dsro0( -s e9maximum displacement from equil09r7 (1fcs(;worfa r ozuun268 sqede-x k2b vibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When5uupl7 qp -r+sjl7b/23/ na5;k s 8euvspngit the mass passes through the equilibrium position, its instantaneous p; e7 n 5ks5lp73ujpui -ns t+/sb 2u8l/gaqrvvelocity

  A mass on a spring ut lx )3 iz3 u.hz1q;zk)7hnfldndergoes SHM. When the mass is at maximum displacement fromdz )zq.x3hhn lf;)71z kutil3 equilibrium, its instantaneous acceleration

  A mass is attached to a v l: xbv:ife(m)h4j7 qv 8ehl-86mxwlvertical spring and bobs up and down between points A and B. Wher)v il l 7hlmjxeqx:-v864bwvm(f:h e8e is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up anwt(do+yj;l i lkmfzc7/j x/ 05d down between points A and B. Where is the mass located when it0/cy5 dtlf xi/zwl j (jmo+k;7s kinetic energy is a maximum?

  A mass is attached to a vertical se5kei *j gcp+.e k+ob;pring and bobs up and down between points A and B. Where is the mass located when its potential energy is a cpo5g*e e;ik+kbe j+.minimum?

  A mass is attached to a x x nss8t2yo8;ci *.egd0mp l c;m1qp9vertical spring and bobs up and down between points A and B. Wo pn;0cpx sel9 gcx8.81;yi*s d2mq tmhere is the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-ando f 4bbh,d /3p46nello-spring system produces what effect on the system's me b4nb l e6oo4plhd,3f/chanical energy?

  Doubling only the mass of a vibrating mass-and-sprinkm 24fx /brshp gw7 y:z1q4hy.g system produces what effect on the system's mec 4k hp/ xyqz.rgs2:h71yfwbm4hanical energy?

  Doubling only the spring constant of a vibrat*g5o e;4wwac4ft pbz,ing mass-and-spring system produces what effect on the systemcwe4 zg;,p aowft*54b's mechanical energy?

  A mass oscillates on the end of a spring, b4f s(mqrucnj.f2va99 1o(kdioth on Earth and on the Moon. Where is the period t( afidf9vjc 1 ur9sok. 2n(m4qhe greatest?

  Increasing the spring constant k of a mass-and-spring system causes what ki+ x d5fxe37pdend of change in the resonant frequency of the system? (Assume no 7pexd5e fd3x+ change in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes wh/6it6 a;plcuk at kind of change in the resonant frequency of the system? (Assume no change in the system's spring co6l t;ki/c6 puanstant k.)

  Increasing the ampliaj1 0q t,vxvo)tude of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other changes in the svx1vq0)j a t,oystem.)

  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 weight.z* ch-9 im0nykarxa d:t6yp;less string of lengthcyxm ain*.p;ah6yzr k:9-d 0t L. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required for one compl yl7hog( /e fo2lg/o:lg;wx)g t z;cd.ete vibra zcg;geyxhldoowf.; ol /gl/:gt 7)2(tion

  Both pendulum A and B mn/62t cckqk6v hfez7hh4 s4si -3w2xare 3.0 m long. The period of A is T. Pendulum A is twice as he6hxk242sc-i6f hm4qvh/e c zw n37kstavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is ;gspn+me a.n1tripled, the time for one complete vibration increases by a fact gnps+ 1e;nm.aor of

  What happens to a simple pendulum's frequency if both its length and mass are ivzozo8lny/fdx/c.*x, kh/ + c9 lam+nn lk c*8o9 lhd,+/+/ya.xovzczfnmx n/creased?

  Simple pendulum A swings back and forth at cv;f-lc (:nuq2 oblgb;7f c7p k+m *eutwice the frequency of simple pendulum B. Which statement is cor( benc7cgkuub lvc *f+m7-:2fol; q;p rect?

  If you take a given pendulu0gi3rn4 ra82ef z9kvrpf+q 3km to the Moon, where the acceleration of gravity is less than 9 ni33fkg qapf +4zk802errv ron Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 roxstf p1pas 8e7m5w29 epresents

  Curve B in Fig. 11-1(nm:gnb)7 e/qpetz t* represents

  Curve C in Fig. 11-159 le,xdjgxbajz7/m 0 represents

  For a forced vibration,j.iyg1u91z1kt 6w a aq the amplitude of vibration is found to depend on the

  In a wave, the maximum disp ,qpa9tb+ -beu vuh0x q)(dby4lacement of points of the wave from equilibrium is called the wave tx (evhpy,b9quab0)u d+ b-q4's

  The distance between successive crests on a w/ +wp:i i4j f-iuutu*)/n hjeeave is called the wave's

  The number of crests of a wave passing a point per unit time isc81ynkz. xi r( called the wave's x8nry(i .kzc1

  For a wave, the freq yz iw34an.7tur e07nmuency times the wavelength is the wave's

  The frequency of a wave increases. W; va/ imec3ke2/qrzq*aj46o xhat happens to the distance between successive crests if the speed remains consacq; 2i e*//krj64va xoem3zqtant?

  A wave moves on a stri90tae monfldw( 0wa *-ng with wavelength l and frequency f. A second wave on the same string has wavelength 2l and w *l0amn0fd t9a(weo-travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length c,qfhns e7 /l7L, mass M, and tension T. A standing wave is set up. Which of the followinchln ef,7q7/sg is true?

  A string of mass m and length L is under tension T. The speed of a wave in tu+v 48nig0dwh he string is v. What will be the speed of a wave in the string if nvh iw8 4u0d+gthe mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The sp)r.fad r xgt)+eed of a wave in the string is v. What will be the speed of a wave in the string if th) )t.dxr+rgfa e length is increased to 2L, with no change in mass?

  A string of mass m and6*b v73nraicqos.: i a length 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 tension is incs bv.r 7ia:3oq*nca6ireased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave travels throu6nd7arrd 7* oygh the Earth, the relative motion between the S wav6o7* nayd rr7de and the particles is

  In seismology, the P wave is a longild0uh,;+xnh itudinal wave. As a P wave travels through the Earth, the rhx0 ;iulhn +d,elative motion between the P wave and the particles is

  The intensity of a wave is0oz(rp sx;x: lm); tyo

  A wave pulse traveling to the right along a thin cord reb slyl llf ,noh/z/;8.aches a discontinuity where the rope becomes thickerl/ ;/hzbll n8f.los ,y and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes passu8q;y80 abhpfrps / 1m each other on a string, one is traveling towarfpqp/8ym 0 1hb 8a;usrd 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 traveling towar/h/)j-ipxks y d the right has a positive amplitude, yhi/s)pkx/- jwhile 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 time

  Resonance in a system, such as a strinkxni -p4vna 2,glpxm5lo/ j4+g fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequency of4ui 8al,(y6zfv a byuabvp,pfc:0k a gk09p1; that string will increase by a fac (pa gc0p;:49upy 6a bzy,ui fkvlafb1,a 08vktor of

  What is the spring constant of a spring that stretches 2rfnqs1115 taqxze;t/ e w+p (m.00 cm when a mass of 0.600 kg1s5qftzr1a ;en(/eq1twx p+ m is suspended from it?

  A mass is attached to a spring of spring constan0vo 8u*qhw-6lah*/k oh) d gq6f vza8st 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 oscillating. 86v*h)uo hoh8z*-lq0fka aw6qg/sdv What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizonx, ad 2mddu8*74 b:fw w4bsuvetal, 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 positionbd: 4b 7evxdm sau*2ww 84,fud when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m aaa45j lo9xws 9long 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 oscs4alo j5 99xwaillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. q8 a juf4-pth*9/gd anIt goes through 10 complete oscillations in 5.0 s. W84gu*j fqnp/at-h9a d hat is the period?

  A mass vibrates back and forth from the zhhc ,w vb: sulm9*k41free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. *,u:m1hl shb wvc9k 4z 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 constant 20 N/m along a n cfu(6t1g3ar03 qnprhorizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the0a6r g 3t 3pqnu(f1ncr equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplq5eg )2xknjt,*b ,iyhitude 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 system now,25 xikb g,etyjn) qh*?

  A 0.50-kg mass is attached n/4a uy9s ys7qk .hkn1to 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 positq s4y9a7 /yu1.nskknh ion. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant bo7je i8z/ d(g:emgf020 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 l/g 0o(e zm7 bdi8ejg:focation are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the endt 8 2.fnzb 7toc8nnyys)ek7+q of a horizontal spring of spring constant 5s yq8t8z.2t7ob cyf +n)k7nne0 N/m and set into 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 spring of spring constantnr-0k8gzd(: 12urn k.zhcxpwj b1 qu * 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy ob0w*n.(hcj:z1k qr r8uzukx2-p gn1df this system?

  A mass vibrates back and fortk 2 xvyna48 ih)f-f ;jngzm.5nh 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 eyh2-ignzv j 48;kx a.fn 5fn)mnergy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from it/*y mw;p,cbrn s equilibrium position and released. A frequency of 4.0 Hz isp bmn y;,wc*r/ 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 sph4kd) jsw876kt+bteet)myd 0ring of spring constant 10 N/m. The object is displace dtse6wtmk7jyktbd04 eh8 )+) d 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 spring constant 10 N/m. The objectkpkc20f cgc6*ot*2 so* c tyn9 is displaced*9skk2 6c*gct 2 c0nop ytcof* 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 spri8wtkwux2,dy -9 e *2c4ghvcepng constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its v8ge 4*d2wyu te2x-,cw9pkc h vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hz when dmd/jhfr5*4cwlh9gd 9y go-9w isplaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by94 y5*hoc9hd9 lj dr-fgg/ww m the mass?

  Two masses, A and B, are attached to different sp.xwww6vr. r,z rings. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz andw,wvz6rr .x.w mass 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. I:kbe9aor9/mib q j 5o0n 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. Calculate the pera:/ rbemjio0 9b9ko 5qiod of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches th u eh offt37n3hqm5*(ie spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Calcu( qe htf5h73 fo*num3ilate the total energy of the system.

  A 0.30-kg mass is suspended o pab4a5vq 3x -pxu.f+fn 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 from rest. Write downx 3.pv4f5- xaqpufb+ a its equation of motion.

  An object in simple harmonic /wyy6)t25fcsc jm +lq3 a 1wwucqh5 c(motion obeys the following position versus time equ qyc(u c/w2l1+s yh6c3qf j twmc)5wa5ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion ojv ))7yhng8yrbeys the following position versus time equatio n7h)gryv)yj8 n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic9e eiaj;..lt-tbugq 7 motion obeys the following position versus time equ.tqe;te-bua9g7l.i j ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring io8f*adhc7 sv,+fuq7 executes simple harmonic motion according to the equ of,ch7fus+aqd7i * 8vation $y = 0.50 \; \sin (18\pi \times t)$ 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 osck1k iuf8wga.*1fp)ji illates on a horizontal, frictionless track. At t= 0, the mass is released from rest pifg18ik.j fu) a* w1kat 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) What are its frequeibpcw; lp0 44bncy and period on b0 44pi ;plcwbEarth?

  A 3.00-kg pendulum is 28.84 m long. What is its peritn .:5d2ly-lcho;wvnod on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lengc,;gfu m4yh r5tia4y :x:sb1z th?

  The pendulum of a grandfather clock is 1.0 m long. What is its pg:d na+b x 66voyva8+weriod on the Earthbgny dox+va 6:+a8 vw6?

  The pendulum of a grandfatheroh.gu c*vhf pf1 03)tf clock is 1.0 m long. What is its period on the Moon where the acceleration1utgp. h0 hcv)ff3o*f due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-khk3 +;1qczs tkg 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 resulted if a 0.50-kg ma 3 ;chkk1ztsq+ss (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a eum i4lryyi,+sb- ;9f20-g mass has initial angular displacement of 8.0e. It oscillatesr9l,4-;m+isb yyfu ie 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 gi ipue2, ygwi9xrk9:,zven time. The frequency of the wave is 120 Hz. What is the amplitude?i i9ep,wr9 uk2x,: gzy

  Figure 11-2 is a "snapsho,4lfyzs u8/c ft" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave4zc8yls/ ff, ulength?

  Figure 11-2 is a "snapshot" of a wave atn4sl2g+1f1,ragwwh9 g5 vnt09m nmeh a given time. The frequency of the wave is 120 Hz. What isrf9h nsg,h+mwn 4l e2v w5a1gmg1 tn09 the wave speed?

  What is the frequency of a wave which has a period of 6*wzir bwv yi uyo n45o9xkgn314rv(qnnd23.. .00 ms?

  What is the period of a wave with a frequency of m;-4as* )-bcnss zh xm1500 Hz?

  What is the wave speed if a wave haau/q1a q 8xp5o7cf hg)s a frequency of 12 Hz and a wavelength of 3.0 m ao5x/qahuc pf)7g18q?

  What is the velocity of a wave that has a wavelength of 3.0 m an3pe 14x t*dgcbd a frequency of 12 Hz?* 1cd gb3etx4p

  What is the frequency of a ws3yqgvcu; -vydf lg:ff*. *5 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.00506wvy 31r llgclt+y;)djjj-+ y kg/m is under a tension of 1350 N. What 1 cjr ty3v d)ll y+wj;l+yjg-6is the wave speed?

  A string of linear densitdo415yto8cwvv2q x7-n zz k2)r bmv.qy 6.0 g/m is under a tension of 180 N. What is the velocitydv2 ov)r2 qnc mz qo5tw8kv 41zbyx7.- of propagation of transverse waves along the string?

A wave whose wavelength is 0.500 m is travelixu ajw7fpkerpm5 b sqz j,:4xo +51i41uu:t -lng down a 500 m long wire whose totaj1:f4 rk7 p oa z5-,b 1ujx ql4mwtu+up5six:el mass 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 2.0-m long string ,sr 6pdo;cr t,waeh*ji+1 wq,fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of tjepq;rsi ,w, d,ch+*t1o6awr his string?

  If a guitar string has a fundamental frequency o*ww 6wtj41 jmhf 500 Hz, which one of the following frequencies can set tm6w wt4*jjh 1whe string into resonant vibration?

  A stretched string is observed to have 1x0 i.xlh4h/tuwx l2m four equal segments in a standing wave driven at a frequency of 480 Hz. What drivil xx4 hw1/ lmh.2t0ixung frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing1 drx :j1b8vjz transverse wave pattern containing 3 loops. What frequency is needed if the bdzxj1j :v18 rstanding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. Whak(q f8ips ) l c**6hy4ys8hqfft should its length be ihplq(f 8 4hckqy*f) siy f*s68f its fundamental resonance frequency is 220 Hz?

  Find the first three harmonics of a styrt3ef -y37 dnring of linear mass density 2.00 g/m and length 0.600 m when it e7dyf 3y -ntr3is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the s4quy+h mw:i9 dtring vibrates at a frequency of 85 Hz, a standin:y4d +ihqwu9m g 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.