The time for one cycle of a o13to8w ra.4w9x+rlv f8xeeoperiodic process is called the

  For a periodic process, the number of cycles per unit time iggyicg g2f 4-l5q47x6hos)nis called the

  For vibrational motion, the maxipwu +0xya.fv:dy-q 2vaj e/a) mum displacement from the equilibrium point is callwaqf )ea.pv:yj xy+/ uavd2-0ed the

  A mass on a spring undergoes SHM. When the mass is at its m30ucoibr f5h4 ;dk- jfaximum displacement from equilibrium, its instantaneousrbi c-d3k5fj f;ohu40 velocity

  A mass on a spring undergoes SHM. When the mass passes throuz iethdbl 5s/gqk22w3(me 0y0gh the equilibrium position, its instantaneous velocmyzqee hw lt0 52d gbks3/i(02ity

  A mass on a spring undergoes SHM. When the mass is at maxim cy3 pml.xyqlia(c+ c) v)1dbm7y 3qv/um displacement from c3y/c+yd3)vpl cqmb)m xv.q 7 ila(1y equilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and hdl1 keom./ 9gbobs up and down between points A and B. Where ik l 9./megoh1ds the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poc,gfdn, zrugz,h 0st, rcd435*u b+ glints A ann ,,ug,fr,z 5rt du3cc40bg lsgz*dh+d B. Where is the mass located when its kinetic energy is a maximum?

  A mass is attached to adc 3s8 u/c5 rnjg:o(.d8 ukm:ewagv8o vertical spring and bobs up and down between points A and B. Where is the mass located when its potential emg: 53 c8an(d:8osc dove/kuu g8 .jrwnergy is a minimum?

  A mass is attached to a vertical sz4)j 2z,gop5jfn pd:m pring and bobs up and down between points A and B. Where is the mass locatedo ):gj, npjz4f25pzd m when its potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system proqnmj z.:12n2xn og9 xdduces what effect on the system's mechani9.d2m qj 21:ngxnonzxcal energy?

  Doubling only the mass of a vibrating mass-and-spring system produces yd0c6i zx(vdh+l 7*yboaw6 h) what effect on the system's mechanical energy?w) 6 v+ yolhd0xiabh d(c6*zy7

  Doubling only the spring constant of a vibrating mass-and-spring sysy(od)af5. e zdtem produces what effect oz.oyd5 fd(ae )n the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. Wheej/wzn yg. q1 5p*: vckhy8t,sre is the period the greatesyy8vwzkg 5qc / :.s*nep,hj1tt?

  Increasing the spring constant k of 9 ravmn..sq ,fa mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the sf., qs 9vrma.nystem's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind offx0ea ,+71 schk n2az2wx 2tsq4iait. change in the resonant frequency of the system? (Assume no change in the s7aix42,ah eafq2+nt2w.0 stxk ciz1system's spring constant k.)

  Increasing the amplitude of a mass-axkoi , r0fbf7c*es c/;nd-spring system causes what kind of change in the resonant frequency of tsfrc;o kbe 0,7xi* /cfhe system? (Assume 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 u gz)j d4u/m96q .gcaj. wm z/*fy7driattached to a weightless string of length L. For this systezyc/qmjf*9z /dr .gaw)4 d7giu. mu 6jm, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time required fozxjy dgc5h6; pe(u1 p.r one complete vibratiohue1.z xpj yp6dc5g (;n

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is twice nv ja h6v17fq6(cw z-uf-xhn 2as heavy as pendulum B. Whatc6 nzhqwx7v f fn6(ju-h1 -v2a is the period of B?

  When the length of a simple gt/whg30i *v ypendulum is tripled, the time for one complete vibration increases by a fact*/i30yg gwhtv or of

  What happens to a simple pendulum's frequency if both its length and mc u: nb :t,:0j5a)rcqgl.k nrfass are inc,. : fj :qtlg:uarkbrcn0 nc5)reased?

  Simple pendulum A swings back and forth at twicecsha t8v7m/84 l9c61 im)vqklnvaq2 e the frequency of simple pendulum B. Whn akl)thqa4c61mls 2e/ qmv8c78 i9vvich statement is correct?

  If you take a given pendulum td6jj eiz9i( w/uek5n*o the Moon, where the acceleration of gravity is less than on Earth, the /e(9iunzjkw i e*j65dresonant frequency of the pendulum will

  Curve A in Fig. 11-1 c6vrrha;g .a emmj*fn/j7, j, represents

  Curve B in Fig. 11-1 repr3tr-mj i0*ed mu 0of(gesents

  Curve C in Fig. 11-1 represec90xye*, fsskvk 3n xg zl1++jnts

  For a forced vibration, the amplitude of vibration (3v0 d,jadne /0nhokris found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibrium i,xs)6k lsnaik7m2lz3) a ,f.u aps bu0s called the wav,)laun)7 i,lfsks6a 2b.u0sm zx 3pake's

  The distance between successive crests on a wave is called the wave's;2y * r pwsqqouu/(o/d

  The number of crests of a wave wkywgp9tj) ; 6passing a point per unit time is called the wave's) kwtygj9; 6pw

  For a wave, the frequency times the waefi( ) sx*lkc3velength is the wave's

  The frequency of a wave increases. ne;4t q/cg e)jv13b gbc:mbdeg d 3;,x What happens to the distance between successive crests if the speed r;gt4,bde c/q ;g 3)m3 bdjebven:xcg1emains constant?

  A wave moves on a string with waveng dk r-agsul* 7j1 ,al6n3l hz4n2kkfz-/-kclength l and frequency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the frequeu/6l,a-zk* zs1n2gk7nhjd gn rll 4-fk k-c3a ncy of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tensiona ;/rd 3zxl.j-f6b so+ lyj,ha T. A standing wave is set up. Which of the fo;xzd,raayh s-j+ l/6 jf.3blollowing is true?

  A string of mass m and length L is under tension T. The z vd1i*ab 0pa/ dut:na )06ddoxd.pe1 speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of thd: apzi06d /ad d11doa.n)vb0pe* txue string is increased to 2m, with no change in length?

  A string of mass m and length L is yl5tboot tugfm (b(k0n *e2*7 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 lengb t*t(tbgy 7l*e2m f0(ookun5th is increased to 2L, with no change in mass?

  A string of mass m and length L is under tensi51p x3bvbfj34v wvo k29-g3(dupf ujmon T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tensiong 5wpo3kp x1b 3( mbu -4d2fu9jf3vvvj is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S waveiuw3*;4acs.hyqviw);xk .ggj pi11b travels through the Earth, the relative motion between the S wave and the particy.gq pwh14 i; )uw cjva3xi*. ;b1sgkiles is

  In seismology, the P wave is a longitudinalgdnf+)xyz(c jk2 d e7ekf;o03yvv58l wave. As a P wave travels through the vyd) j+2(veeyfn53cd; 0k 7zfox 8klgEarth, the relative motion between the P wave and the particles is

  The intensity of a wave iqgb.qy 9*uts 9di .ib/s

  A wave pulse traveling to the right along a thin cord reaches a disc xee2fpi0 5;/fv3 0l j/hw*bs;/cjwzfij ah l/ontinuity where the rope becomewlji2ce;fvlf s/ jwe*0a;x/ zh5/b/jfhp 0i3s thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equa,gooza9i 8oiu f+l43le. h+bz h k0.wll positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. lb a49w+ze foohi.k+,i.u8 z 3o h0llgAt the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. Tn4 ddo8(h5 mqehe 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 do(5h48 mdnqethe same region of space at the same time

  Resonance in a system, such as a string fixed at b )skn9d sx*:5wq 1 diy,tovz we1nl+:eoth ends, occurs when

  If one doubles the tension in a violin string, the f /nk -n(y 0lynuuqcf9 llp9+/zundamental frequency of that string will inznl n99y-(f+lc y /uk p/nqul0crease by a factor of

  What is the spring constant ofk3 2 j6gmafmv* a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from it?*mvk2 jm63g fa

  A mass is attached to a s)-mhxj;l(jxwdu; w mx8x47 utlc f0 ;mlj:eg-pring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially:x4mgfmc0 jj(-tluw l ;dex8l;ujhwx7m)- ;x 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 sprilw)tm zi; /*bbng 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 0.5*w;t/)bi m bzl0 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 along a horizvts1s-yma 01dontal, 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 whavd t1m s1-0syen it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM(f9u:qefv:w. f jy 7l-s txr2a. It goes through 10 complete oscillations in 5.0 s. What is the p yqlvjuf.ew-9 (rx2f a7s:t:f eriod?

  A mass vibrates back 8*7sb xepji;a ijf 1/eiza5 q6and forth from the free end of an ideal spring of spring constant 20 N/m with an afb8 is17ja*ej q;ea6z5 ii/pxmplitude 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 spr9 k 5xmygtd 0 .15nyqptk6thv)ing 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. What isvtthyqg)6n d5 9p51yxk0 t .mk the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. The energy is:raf9agat9*9k t wl :g 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 nlaa:9 t*gw tr9g9kf:aow?

  A 0.50-kg mass is attached tvi:;xr,q5ybo 5 ksq2yo 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 iyxs5:k,b 2 qrqy;v5oequilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of 7,.-q pyfnkde hhg-:xspring 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 thek-fhd 7.-nq,xgh: pe y equilibrium 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;vsw 7eo9d ve1y 07ja03.p/co.yaked qe * sqk 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 toe/3.o;v7 eyqdp.eay0eqo10 *wjv9 a kcd k7sstal mechanical energy of this system?

  A 2.0-kg mass is attachet: ksypxrd8m-3 z 9y9ud to 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 energy of thskdu9ytx:py3rz9m8 - is system?

  A mass vibrates back and fort6hh*0zcdx ftv m;1 v7vh 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 maximumm1vfzvxv*th0cd7;h6 kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm from its equilibz z;xaqcsn-:) rium position and released. A frequency of 4.0 Hz is observed. What frequencyc-;za) nxq sz: 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 of spring constant 10 N/m. The obj7txo3w:kfpm, h m5mk:i6d4wmect is dim3wmix:p mto,wk6:mk 57 4dh fsplaced 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 obje nt hn )/u;pl9qj06mmik9evz9 ct is hujm ) p9m9q0t zek nln6;/vi9displaced 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 18 1 4 m a*.khbdbfvoh hoq5k3cdn8 22us.N/m, displaced slightly from its equilibrium position, and released. What is theko18k*db3h4fc2mhsno.a .hb d qv2 5u frequency of its vibration?

  A mass is attached to a spring. Itki :0r/r 8x/kdqeo, lm oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velrox/e80,:ilkm q dr/ kocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass /s6qm7e fh zp:;oryl/u0v p z(psvd.,9p ov a4A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates wiqol/u/;p67v9 vppos,v.sa:z y4zreh dp0( f m th 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 spri 1kjj( /flro*ing. 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. Calcula*ijrolk/f( 1jte the period of oscillation.

  A 0.30-kg mass is suspended ondtw,q2o*f ,)qjkeie 8 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 8 )qdi*j2,eqtkow,efand released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass strettkf(eiczy; o*ih-6 ;uches the spring 2 ;f ziutoe6;(y i-*ckh.0 cm downward. 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 harmonic motion obeys the followi d20uy vn*itz0ng position versus time equ20yd0i nzu* tvation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versu:9 fm e-/ qlzzrzs;a5ds time equ9lrz f qz/:a5ds-e m;zation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys sxw qy 5752ydse of*i5the following position versus time equatio5q d5ys5ow fx7ieys2*n:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes si+d 5ol6t*blue mple harmonic motion accorddbue l6* tl+5oing to the 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 tods7b w *)hm )9squc7qpolr+8 q 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 stp)qsqq7 cu)hbr 8+los* wd 79mretched 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 srm wguo)0a, ggbv(j-3ven +h3wings in 8.0 s. (a) What are its frequency and period on Enjo)g3gvh+ u mrb3-ae,w g(0 varth?

  A 3.00-kg pendulum is 28.84x5q yqqrc35w 4 w,r(em;d1hjh m long. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its *vnw 9shq+j0eixbd 08lntk08length?

  The pendulum of a grandfather clockrg 8c /yha)uxeti rg5d+2z,;k is 1.0 m long. What is its period on the Earth?gh2 a iu5)tr/;yc+erg dxzk8,

  The pendulum of a grandfather clock is 1.0 m l-vmd qk3-ilprx3m h6rv60 wl 9ong. What is its period on the Moon where 3m9ir0vlr36qxk--d lhwv pm 6the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massleg4*jzzd(c)6nl 9)seavk sim2 2g/;e:df eg uyss 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 spher6g aeefc*dl;z 9gss4u2i )e:m/v j( zygnd2)ke) had been attached to the string instead?

A simple pendulum consisting of a 20-g mz -glk2qcp7 (oass has initial angular displacement of (- 2zqo k7glcp8.0e. It oscillates 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+e0 8s9 k86*x skn hki1sivxzi46xjop a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude? j xkk+9s v 846en6 i8xzs1*h xioskip0

  Figure 11-2 is a "snapshot" k-jh 1sfj72xaof a wave at a given time. The frequency of the wave is 120 Hz-jx sa khj721f. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. oyrut+;o dhdvy(1 ;*b The frequency of the wave is 120 Hz. What is the wave speer u(ovo+y1dh; tb dy*;d?

  What is the frequency of a wave which has a period of oib65wmu3qjunn/ uy i8,l.+b6.00 ms?

  What is the period of a wave with) nesqtk*c vq).z:p+ c a frequency of 1500 Hz?

  What is the wave speed if a wa rodv;t9yh ui8z un+:/i4glr 5ve has a frequency of 12 Hz and a wavelength of 3.0i5g/yo trvzdr9 u8i +hl;n 4:u m?

  What is the velocity of a wave that has a wnnpxyn)pc tuq8b3j i: *-,)hkavelength of 3.0 m and a frequency of 12 pn3h8xnc*q t:))-np, k jibuy Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 2bp kbit8dd )9m/s?

  A piano string of linear mass density+4 u ulryiqqx*e) p/-q 0.0050 kg/m is under a tension of 1350 N. What is the wae+p* qqu)iqry/ xl4u -ve speed?

  A string of linear density 0tb;, 6cyixgq1+ afiw 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of transc;6y igwf1a0i ,b +xqtverse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long wire whose r(k/ x/eqi0k 66qexxi total (irxeki ekqx06q //6 xmass 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- )q x*asekv6j 2.0-m long string fixed at both ends is 200 m/s. Which one of the fo- ) jsv6kqaxe*llowing is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, whils+3.o-ya f stch one of the following frequencies can set the str. -foyst3+as ling into resonant vibration?

  A stretched string is observed to have f,z nf+7t) qooaour equal segments in a standing wave driven at a frequency of 480 Hz. What drivinf+,on)oaq tz7 g frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz z ad l5na5 9.i3awcya3with a standing transverse wave pattern containing 3 loops. What frequency is needed if the3.a iz3awyd95la5acn standing wave pattern is to contain 4 loops?

  A string of linear densix,s3)rm 5rsf ety 1.5 g/m is under a tension of 20 N. What should its length be if its fundamental resonance frequencyrfsx m35r), se is 220 Hz?

  Find the first three harmonics of a string of linear opu :,rqtjh7;)aqf)nf /,jx )ncx23fkh a/q gmass density 2.00 g/m and length 0.600 m when it is subjected to tension of f; n/2 n3 qkcfq)f /hu rj,)t7gqh)p:aaxox j,50.0 N.

A string of length 2.5 h;u/,;szdo yn m is fixed at both ends. When the string vibrates at a frequency of ,o;/;dhuzysn 85 Hz, a standing 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.