The time for one cycle of a periodic process is c xz(1i. g t;3eu2ycb*pl .*o xl)uphkralled the

  For a periodic process, the number of cycles per unit e 1i uh3cyjgdapw6 ;42time is called the

  For vibrational motion, the maximum dispcf:p 2l;9iuo blacement from the equilibrium point is callb9p f;ulo2 ic:ed the

  A mass on a spring undergoes SHM. When thxm/j+,ewz p-0 jjlt9nb-j.- ts ngb:.tuw0kce mass is at its maximum displacement from equilibrium, its ins-+j0. n:b- mg0,zewnxtp.ttjcu/9 bkl wj-jstantaneous velocity

  A mass on a spring uni.aanbv4m a, yb b2,zg- /t9uxdergoes SHM. When the mass passes through the equilibrium position, its2mny/ai.x, 9u azv,tbb-ga4b instantaneous velocity

  A mass on a spring undergoes SHM. j ;0.wft8kvtp 5n +xqfWhen the mass is at maximum displacement from equi tf n;t0pxj5fq+w 8k.vlibrium, its instantaneous acceleration

  A mass is attached to a vertical spr z9j- 1p*skl2e+ hxibbing and bobs up and down between points A and B. Where is the mass located when its kinetic energy ispxhl-+12z kie *sjb9 b a minimum?

  A mass is attached to a vertical spring and bolsl/v4 /nij*ca 9dfla v--7fkbs up and down between points A and B. Where is the mass located when its kinetic energy isavc7s d /l -na9i4lkf-*/vjfl a maximum?

  A mass is attached to a vertical spring and bobs up and down between lw2:)ev h6t vtpoints A and B. Where is the mass located when its potential energy v vte )wh2t6l:is a minimum?

  A mass is attached to a vertical spring and bobs up a ,d2 euakqdz34z 4(bpcnd down between points A and B. Where isq,d 2c bp4u4za e3(kzd the mass located when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system pl/)j gn)cn1 yv:hk3xrzq 6 u4produces what effect on the system's mechanicalh )pr43g)k 6n/yvun1 jqz:xlc energy?

  Doubling only the mass of a vibrating mass-and-spring system produces what eff)npx7a2gqq-ldso 4 * oect on the system's mechanical 4o a*lgdnq7 p-q)2s oxenergy?

  Doubling only the spring conr onqt,p2zt51 stant of a vibrating mass-and-spring system produces what effect on ttp 5oqt12rzn,he system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the bwy mf en1-2064;fjaod) yyzx Moon. Where i);6fbje yod nm40yyaw2-1fzx s the period the greatest?

  Increasing the spring constant k :ep a(gy; uu/eyykd1 :1jtud7of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in theau1y u1 pj;7e:gd u:td(/yeky system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chanft0 qky:jb3kfk :6j s)ge in the resonant frequency of the system? (Assume no changetfj)k kkj0 :q 6s:3yfb in the system's spring constant k.)

  Increasing the amplitude of a mass-and-springs1l efo 9gv1y64rg -lg system causes what kind of change in the resonant frequency of the system? (Assume no othl g946goyr1 v-e lfg1ser 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 stri7)h0 -bvj jm5aq i+zlocjden24,wjx7ng of length L. hja wxno+l e74 b7)-5 jcdi,02jvmz qj For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time. :nj:sy8idhdd;o t(u required for one complete vibratioi j y uh:8(:.ddstd;non

  Both pendulum A and B are 3.0 m long. The period ofky2ag+g/av e+g5u. vb.m5 s0 v w0rcpt A is T. Pendulum A is twice as heavy as pendulum B. What is the perio+g/r2vua g ms 5pt5.+v gw. kc0abv0yed of B?

  When the length of a simple pendulum is tripled, the time for one complete vib+w:akppr+ + tfration increaser+k w+tfap+ :ps by a factor of

  What happens to a simple pendulum's frequency if both its length an; a8mu7a vfti*d mass are increased 8;tamuva *fi7?

  Simple pendulum A swings back and forth at twi p(wb)43 au/vgcqin,cce the frequency of simple pendulum B. Which statement b(w )q3apgvn/i u,c 4cis correct?

  If you take a given pendulum 0odc 1 vo+4zrmto the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the penvr1+o4o 0zdmcdulum will

  Curve A in Fig. 11-1 gvtp6chah wq/s: m* +;represents

  Curve B in Fig. 11-1 representsdqh2- 6 xcboagj z.c45

  Curve C in Fig. 11-1 represent 1q2h xpb9eb(dq.sz na8u0k3zs

  For a forced vibration, theajuxc: w),tjyq50tj5j5j*p ) wkjr7 y amplitude of vibration is found to depend on the

  In a wave, the maximum displacement of pwfb*i-51 aszhssnlp +s3c z 0p9s,. xzoints of the wave from equilibrium is called ts.c xsbsipl*3 z+-10 wn5zzpfas, h 9she wave's

  The distance between successive crests on a wave is called theb:v1 psjy+u6a62b dfv+gkts1 wave's

  The number of crests 9yh-4/3 uxaxbf uv8x cof a wave passing a point per unit time is called the wave'ycbx4u89a-f hvxu/3x s

  For a wave, the frequency times) /zs+cofr zkg4q5/st the wavelength is the wave's

  The frequency of a wave increases. What happens to the distance betwjw. 9g smync).la1u7q-r pu0 qr9 pyn)een successive crests if the speed remains p9j.r70y- usm9l nyaqr1n ))gcpuwq.constant?

  A wave moves on a string with wavelength l and bj mo p)o4*um9 t6eff8frequency f. A second wave on the same string has wavelength b9m*m6)8p o tjuef4fo 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M,4j sb6 5/vlndnk84(c. i wjrtc and tension T. A standing wave is set up. Which of the following is true?drt bw(j4 n v6.nc5ci/sl jk48

  A string of mass m and length L is under tension T. The1zr9u :npo l+y speed of a wave in the string is v. What+r p 9ylu:o1nz will be the speed of a 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 tension T. Th,s ua:n18l dh28sp sgge 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 no chgdsg:2l1 n as8hus,p8ange in mass?

  A string of mass m and length L is under tension T. The speed of a wave in the a p8 etqbb0).u5djz6qstring is v. What will be the speed of a wave in the string if the tension5dt)pb 6ab0zq 8e.juq is increased to 2T?

  In seismology, the S wavey4 cg86 zj8aep9n jn0o is a transverse wave. As an S wave travels through the Earth, the relative motion between the S wave and t jnac4gz8 noyp90ej8 6he particles is

  In seismology, the P wave is a longituagg;ix7)a 7w u/0rvoz dinal wave. As a P wave travels through the Earth, the relative motiovuw)x7r7 i a/;gago 0zn between the P wave and the particles is

  The intensity of a wave fmee2 .i *kmfq-v1( kqis

  A wave pulse traveling to the right along a thin cord reaches a d 5l-tq pf+uix3iscontinuity where the rope becomes thicker and heavier. What is the orientation xp3+- ftqu li5of the reflected and transmitted pulses?

  Two wave pulses with equal (rd0ypvm. z8)ot76 * s elcodapositive amplitudes 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 region of space at the same tyc0mpl87v r)zod *6d.s( ta eoime

  Two wave pulses pass eac/ jc(f ,(fb: kzt jua4cvuur(,h 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 that they occupy the same region of space at the (j (z,f ,:ju 4ubvrtc(cfu/kasame time

  Resonance in a system, such as a string fixed at both ends, occurxce9utcsgdo ;qb6,+;s 20 0w 6uyr ufvn6:ccqs when

  If one doubles the tension in a vio,+lt f2r n6pxx:7kh+fktlb6jlin string, the fundamental frequency of that string will increase by a f2x r 7lhk+6pf+l:,xn jkt 6fbtactor of

  What is the spring con/ 9ygc84,/*ww nlo uoxqe5gy vstant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from iu/v9/,eg4n*x yqgw8 cwoy5lot?

  A mass is attached to a spring of spring constant 60 tzrdvs8*:v e1 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 ise *z1 t:v8drvt is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, s m-9+rg uw1xh)zel5 fo1vpidg0c3 a: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. What is the period of i9ogs0gcud r1av l-zfh)1w px+m3e:5oscillation?

  A mass is attached to a s uf:lg f*w qih1f)/in/pring 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 oscillati*1f g :fil/iqh)f/nw ung. What is the frequency of oscillation?

  A mass on a spring uxl k: j:: rlv(9v0kpanndergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is:x(k0n:vr :l9paj kvl the period?

  A mass vibrates back and forth from the free end of an ideal spring of sprbwp8m i: h6- +tmtr.ukjyi 4i0ing constant 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 eq timi4 -iy: thk+86. jru0mpwbuilibrium position?

  A 0.50-kg mass is attached9zap9 ecenac1y: ; j9 lqxzgn1uie85zn99n/ v to a spring of spring constant 20 N/m along a horizont5q99 9iac ez 9uxlay9pzgnv nz/cn;j1e :18enal, 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 total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is 8.0 J a2ul ut4/4 hx;pjpe(acikx81 jt this time. The mass is cut in half, and/u2 4lhikpac4( ;8xpejj u xt1 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,(g o um*mjpkxpp2- (4kvb)xr a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates inbpkx*p(ukr(p go- vx4)2mjm, 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 to at:*d +v5 ys :jgq.pw4rbkn7o l spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in *y+kj wqn 5t7o: .pdvl:4 sgrbsimple 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 t8pgiq+;)tb fm)f nz*tfpw jp6 95b,ido the 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 enbg 6mw8ft ;,t+)b)* ii pdzffnppj9q5ergy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring ofs w8.)o yeaohsao( op+90fv0i spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the tf9wo+pe.a8 o oos(yaiv) 0h 0sotal mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring o,*0 l5xwl 6d)wwklka nf spring constant 20.0 N/)k nw*d ww x56kll0la,m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm fr4 w33 sqxxc0qyom its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observedcwyq4033 qs xx if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spr9, 7w cyzg3oite3/wryl1wjc13ih y p f(e4 k0ming constant 10 N/m. The object is displacedy1 y fke,ch7c03 tii ozrw3(ej9l4mwp / y13gw 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 consta703f6h e dctxlkf o5+u v6ue0:kqzq+e nt 10 N/m. The object is 0oeq66+d u f+0eqkv3z75 :xu ekthlfcdisplaced 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 constq5ejc )2x z8rjant 18 N/m, displaced slightly from its equilibrium position, and released. What is the fr8rxj 2z)ejq5cequency of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.27 Hza 88v; rjfv9 ;tbav,lf when displaced a distance of 2.0 cm froa v ,;8tavblf;8f 9rjvm equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibfu:do u5 b/+ lsb.(u8op-iucj. s0gjirates 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 speed os oduj(u+ilub0 - bf iscj8/gup..: 5of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a spring. In3hr c7gd)4y-b0hek5 ai jc:yf equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional dis y7diycagk04r-5 f)chh b: je3tance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspend tlptuf:m c,(s btt-1c 3k(f1ped 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 release(-c(1lcmfs1tb 3t,u :ktppft d from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretc 6oz/2qu)ydnmhes the spring 2.0 cm dow )/6onyqmzud 2nward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmon1linse8+q7e ,i9gda fic motion obeys the following position versus time equationiqe17 ae+f89i l ,ndsg:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic moti 18 rrxs0ji8fgon obeys the following position versus time equation:r1jigr 08xs8f
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion nrju;e)0qbak9 3 k5 elobeys the following position versus time equation:j) 5rq;eek kul3bna90
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes siebm -1x7 kk2esmple harmonic motion according to the equation bse217m- ekxk $y = 0.50 \; \sin (18\pi \times t)$ 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 2e1h6wqmq /3xh0.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, tq3/ew qh1 x6mhhe 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 tz.,:mgb g j 9d8qw1ihits frequency and period on Eart,9hq :wb gd8j1mt g.zih?

  A 3.00-kg pendulum is 28.84 m long. What is its period ortn /;q*xwvcj 9o 4vrnvx.,3wn Earth?

  A pendulum has a period of 2.0 s on Eav,vdt6t t0y zc71go i(rth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the mjhu2ulpf 3 8xllqvo i ma(v) )y7/f39Earthlmfom2 7ypjhv8 u/9ix)a 3lu)v( 3lq f?

  The pendulum of a grandfather clock is 1.0 m long. What is its periox ( /(ak- grxi,mlw-pppf;1zrd on the Moon where the acceleration due to grap1i-r(-(a zxx,gr;pmwflk p/vity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical 8j14c rwz c9lav4nbm o67ls/c 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 mass (same diameter sphere) hadal4 8vo wr 7cz4ls9 /1cm6bcjn been attached to the string instead?

A simple pendulum consisting of a 20-g mass has in oe*p4jix 3lvr -n-8wbitial angular displacement of 8.0e. It oscillates with a p*neojw --4ri8l vb3 xperiod 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 qppd) 8z:bth 1wave at a given time. The frequency of the wave is 120 Hz):1 htz bpp8dq. What is the amplitude?

  Figure 11-2 is a "snapshot" of t6q5p+xn0j +fgmgop7a wave at a given time. The frequency of the wave is 120o7x+6jn + ppfgqgt5 0m Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. Tn- c cxuug. /rd.4kt70cw,vynhe frequency of the wave is 120 Hgy4 .k-c7n,c.un v/tcw 0dux rz. What is the wave speed?

  What is the frequency of a wave which has a perc o*,+cut m0 6pjvk p2n ze4w0zm-pjg3iod of 6.00 ms?

  What is the period ofb i2tofb18tys.2t+ n n a wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz a 1,n nxmt-x(8opcxd5znd a wavelength of 3.npxt( o-z mx8,d5cnx1 0 m?

  What is the velocity of a wave that has a wavelength of 3.0 m and a frequencvdg- 2ze6l ( nz+(c8mqi+eny my of y de6(8mz lie g2cz+(-+mqnn v12 Hz?

  What is the frequency of a 2.5 m wave traveling at:xlr k k)ad-m3gndy51 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m i73( 7wpx kbzmgs under a tension of 1350 N. What is the wave spemp(7k7gb3 wx zed?

  A string of linear density 6.0 gl, oyxs*5ne6poe:1 e e/m is under a tension of 180 N. What is the velocity of propagation of transverse waves along the s eo5e6pl neseo* 1x,y:tring?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whosx b),7 8fkaf)yhyoz d3e total massdf7zfy )k3h8oa )xb,y 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 o6wj . gb99xq4-oa pocd1yyr( 5fzbsf2f a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequec. zry69x-9b5 ow4 2 fpgy1(qdjsa bofncy of this string?

  If a guitar string has a v8rnneed8it vf 3-ywp*- m/0l fundamental frequency of 500 Hz, which one of the following frequencies cp3tdm e0frnvy8*-/iwl e8n -van set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a standinsaijdg 09*c n 8x3rle;g wave driven at a frequency of 480 H8a nj9ld03ixr;e cg *sz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequen65fz7go6f 8adtq)okgcy 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?fog 6z78dg)a fk5q to6

  A string of linear density 1.5 g/m is under a tension of 20 N. h2s4ps 8f 0qqe;tw +la What should its length be if its fundamental resona+awehls0qq; f4 2t8sp nce frequency is 220 Hz?

  Find the first three harmonics of , aal(xapw+s rr;gt +e;zbj0 *a string of linear mass density 2.00 g/m and length 0.gpj+r(;z ,aa +wbe l*xa; tsr0600 m when it is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both z1v:m)l ktf:l sh4n3p ends. When the string vibrates at a frequency of 85 Hz, a standing wave wit4ntvlp):h z:fls mk13h 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.