The time for one cycle of a periodic0z4;/;ge rk;p,axh o/ px iern process is called the

  For a periodic process, the number of cycles per unit time is ca5euu(hwdinin h;c0 , ir;7r*mlled the

  For vibrational motion, the maximum displacement from t ii) 1cj8uhm l0ewkz2kb+ 1*rihe equilibrium point is callzj k1b hki8*u)lc 2m+1ew0ii red the

  A mass on a spring undergoes SHM. When the mass is at its maximum displa4 mp stv44c0wbcement from equilibrium, its instp44 v40bt mcswantaneous velocity

  A mass on a spring undergoes SHM. When n3kl0ga49- ogmm(kqhthe mass passes through the equilibrium positionomg 3(40g -kna lkqhm9, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mdxbyz -0 0 ,wky1j.epieu /(+v i5qgrcass is at maximum displacement from equilibrium, irb yz+0/c-p1ie 5g( . 0vqeux wiykdj,ts instantaneous acceleration

  A mass is attached to a vertical spring and bobs up and down betweenywf84sse qk i97m-k3o points A and B. Where is the mass located when its kinetic energy is a minimu q8 wmeyo3is-k49k7sfm?

  A mass is attached to a vertical spring and bobs up and down betweeca:ed+4fc nhra0xa 51n points A and B 15ercn:aa c0+xfd ah4. Where 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 poi8ryn:qla hf6 :nts A and B. Where is the ma:h l6qr a8nyf:ss located when its potential energy is a minimum?

  A mass is attached to a vertilorpf6 h*8w 2tq s(* c:g.xwwwcal spring and bobs up and down between points A and B. Where is the mass located when its poten6rx*wf:gow.w l2s( w* t8h qcptial energy is a maximum?

  Doubling only the amplitudez* ;mg) ni8odcn-gk 0 wmqn9w0 of a vibrating mass-and-spring system produces what effect on t-g 8onm* ;gdc im0n9kqzw)0wn he system's mechanical energy?

  Doubling only the mass of a vibratinge yqju0r qki1/4/(j4 )wypwrc mass-and-spring system produces what effect on the system's me4q rq1(0rk wcj4/w yji/y e)puchanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system proe)nf6 8nmwfbv,5 cqn :duces what effect on the syste6n: qc5 bf ef)nvnwm,8m's mechanical energy?

  A mass oscillates on the end of a 6dqz vtc64 +zx/a9 qe6saowe9spring, both on Earth and on the Moon. Where is the period t/+z4z 6aqesot9d69q cwve a6 xhe greatest?

  Increasing the spring constant k of a mass-and-s5olrc*,0i dwg pring system causes what kind of change in the resonant frequency of the system? (Assume no change05 *g,dirclow in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causek4ihl cqhtlcw-7 -c m/ /vo7,ls what kind of change in the resonant frequency of the system? (Assume no coi-4,thc/vqlclc7-h/l w 7m khange in the system's spring constant k.)

  Increasing the amplitude o5sfepd7o6tm+ 3d p5 ,n lehh ,;mqoc7of a mass-and-spring system causes what kind of change in the resonant frequency of 3 d5h lm5c6p e+7fh pq7noo,es;t,om dthe 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 xroehu f++lp/g, f/+*5nsizjof a mass M attached to a weightless string of length L. For this 5ehxfrgjslufo /zi+n /p+*+ , system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requie+xq g(w5cfyw(76g txred for one complete v(x7 5wy( efxct+q6ggwibration

  Both pendulum A and B are 3.0 m long. The period of A is T. Penduu: cg k .txm03d0mym7glum A is twice as heavy as pendulum gg ykduct0 07 .mx3:mmB. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one complete vw 6jt3fq n 6c2vw4dv(xibration increases6 wcd2vt6 jvq wn43xf( by a factor of

  What happens to a simple pendulum's frequency if both its lengtaoea3h -jn8 *ad wy9fjw3y41yh and mass are iny8y nyd- 9 43hjeow 3jwa1afa*creased?

  Simple pendulum A swings back and forcl8z6z6 u1aiith at twice the frequency of simple pendulum B. Which statement is a86icuil z1 6zcorrect?

  If you take a given pen l9hz30.hbzf;, )a ,qmu c;lflxup7zddulum to the Moon, where the acceleration of gravity is less than onl;pb, ah)xm 7 f3 dlhzc9uzfq zl,.0;u Earth, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 reprvn2g4yb)a3+ txy(slx 2q e ea+o fo7m5esents

  Curve B in Fig. 11-1 represeyq 7lbth k0+f8+ 6vevfnts

  Curve C in Fig. 11-1 represent i xgyo ;cwr*pni132r3m)8vizv+ gt5ys

  For a forced vibration, the amplitude of vibration is found to depend on the : iqdt(g,tts2

  In a wave, the maximum displacement of points of the wave from equilibrium is ca 2qv0advujvr 59muq2(lled th0uvv5a9(rjq 2vqm2u d e wave's

  The distance between successive crests on a wave is fy bq3ontgcc509ek;, v -f5ldcalled the wave's

  The number of crests of a wave passing a point peri-+ .pq/-rfuc sh9tlv unit time is called the wave's .pq+r-ti f-u v9schl/

  For a wave, the frequency times the wavele20slyz 86 f+ )vhorxihngth is the wave's

  The frequency of a wave increases. What happens to the dsqbyl )j( e8ntjib.86istance between successive crests if the speed remaines6b i jb()ntly8q8. js constant?

  A wave moves on a string with wavelength l and frequlxxyj)k 3;dn ;ency f. A second wave on the same string has wavelength 2l and travels x;dyxk3)l; nj with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of l8yd)v .0o2jp/kiejbr ength L, mass M, and tension T. A standing wave is set up. Which of the followinoiby ek/jv2rp 8.)d0j g is true?

  A string of mass m and lvh 27a4qgqnk mx;6 i0 gzlk4o,ength 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 mas qqhoiz ln 72g0vk4x;ag6,mk4s 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 speed of a wave o 3vu,flz+d 1f)sr*p oin the string is v. What will be the speed of a wave in the string ifl)s u 3vpf r*do+f,o1z 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 a wave in the (8geg4t7xo txstring is v. What will be the speed of a wave in the string if ttg xtxo eg84(7he tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an S wave traq 7/ywnx yr7i9vels through the Earth, the relativey x 79irn/wy7q motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave trad azuh s:ijn**h eu970vels through the Earth, the relati*a7n*j0z9:euhdsh iuve motion between the P wave and the particles is

  The intensity of a wave8g i.fbr9-u,bvkl9c z is

  A wave pulse traveling to the right along a thi3*2 a;uhcjaft7e hm:ln cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orim;ajf3thc ah7u2 *: leentation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass each other on a string,c *libmh+dkl1a0g+:2 stv7uz one is traveling toward the righl*+1va mt g+2u7s:kzcib 0 lhdt 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 toward ptbrm92 )(bdpthe right has a positive amplitude, while the one 9b2( rbtpd pm)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 string fixed at p/1q2tt re dpp5,ff4f both ends, occurs when

  If one doubles the tension in a violin*l)mh;8:x yel i6bmk t56xusb string, the fundamental frequency of that string will increasbubmxl; m8 *i l) 6ys6t5x:kehe by a factor of

  What is the spring constant of a spring that stretches -zjzyu,9 )yo1 cphek3 2.00 cm when a mass of 0.600 cj) ,-3ph z yy9k1ueozkg is suspended from it?

  A mass is attached to a spring of spring co6 pkqb r6j.zoiy tb v(.2cx1+dnstant 60 N/m along a horizontal, frictionless surface. The spring is init okt61(r2icv d .yj qpb.6+zbxially 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 spring constant 60 N/m + lqvg -kj)0vemx1k5lalong 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. m+k l)1 jk5v lev-gqx0What is the period of oscillation?

  A mass is attached to a spring)jg (eq8) atpa 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 oscillating. What is the fe qtgja)) (8parequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 complete oscillations in 8ku1gs i*tii.mr ym:o6;m6 z l5.0 s. Wha.or*zs i im t ;l6ku:ig61mmy8t is the period?

  A mass vibrates back and forth from the free end of an ideal sprik *zwnl4rt,xo7 l/g ;zng of spring constant 2,row xlz *;gn7/4 ltkz0 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 sprc sl o.sm6*k;a:ad4ljing of spring constant 20 N/m along a horizontal, frictionless surface. The object oscilla aom kal:l4cjd 6;ss.*tes 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 amplit)u+ q+xyse9+w 4tag d 7k6mpgrude 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 mos)76+wkg x tpugymd 4+ qra9+etion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of s,7rdvplm ykndlnj5*d o,-3k) pring 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 is the amplitude kvk) -d n*llydrno5 d3 mp,7j,of vibration?

  A 0.50-kg mass is attached to a spring of spring d8zl5d) h +fjoconstant 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 pd hol8j)fz+5 dosition. 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 spring conrkdodu x1u+ ,4stant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the tota rud+udk1x 4o,l mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spri ff0n w5xft6.-lj pq2ing of spring constant 50 N/m and set into simple harmonic motion with an am065pxfjil q -.w2ffn tplitude of 0.10 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 v))b bkym2i ,yspring constant 20.0 N/)by,)ki y vm2bm with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring systqj.pa4 u 9 ydy8ms 0hdxqe(z.xf;9 5skem is displaced 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 been displaced only 5.0 cm and then releasey(4mzky a qdd;0u8xxjhqfs5 ps . e99.d?

  A 4.0-kg object is attached to a spring of 3hhoseaup/7jgd- p0d 8fja8ic0m68lqr j (8 ospring constant 10 N/m. The object is di6jq 8hr 8 3meso jg d- lo/i(f808adpjupac70hsplaced 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. Thutopayca2-m+ jt()830b pf +nv* ljcie object is displac (*i npumpvafojbtt+l-8ay2 c+) 3j c0ed 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 spri(lth1w o;r 5 :zick8fqng of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequen(zqk1 w 8c rfl;i:o5thcy of its vibration?

  A mass is attached to a spring. It oscillates at a frequency of 1.2 hhufxmr ,:*vrpf+ y)(7 Hz when displaced a distance of rh (rm pf ,u+*yx:vf)h2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to tq wpr 3r4+ai/different springs. Mass A vibrates 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 doeipar q+3rt/4ws 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 stretcg/(i.f-ln ajk. /y rfzhes the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and ria.rzng y/l.(-/ kff jeleased from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In x4ee+wyyq( 4t0kn2qt equilibrium the mass stretches the spring 2.0 cm dq24 wxqeyt0ye( tnk4+ownward. 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 on a spring. In equilibrium the mav +qp1ip2tb5vh0hk 4ass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance o4p t02 khvbq5p aivh1+f 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys *,c .zr8hninqthe following position versus time equzc*i8n, n qr.hation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys th +hwbo5 4*dq4ha;hbgfe following position versus time equationh*w goq4;4bhahfdb+ 5 :
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motio: f50a 5p)lz-mvo qjikn obeys the following position versus time equation)zqvkf5-jpm05 l:o ai:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the frekt3wfl4s3y4btj x9 v2wr,/3b l+du c ne end of a spring executes simple harmonic motion according to the equatcbv9433 4 ldst bww3ju/+n2xykrfl,tion $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with 1.ol2 . q1wuu/7if kh k)yse*qoz pahpq/*s /ea force constant of 20.0 N/m oscillates on a horizontal, frictionl1ye )h 1 plq2oqf/*uz../uwh*oei kp q/sks7aess track. At t= 0, the mass is released from 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 9lps t9uvge1 eqnnax:f4 57u5 swings in 8.0 s. (a) What are its frequency and period otfu41unp5x7nvq s:g l99 e5ea n Earth?

  A 3.00-kg pendulum is 28.84 m lonmx 8bs(u3 md:py.pz:ih1/ dneg. What is its period on Earth?

  A pendulum has a period of 2.0 s on Ea s4 ,uchy0r7inf3 r0ocl0mp 8ru(tpm;rth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. Wohewh/pgpq.p:l6 c 5,hat is its period on the Eartew hl /qp o5:.pc,gp6hh?

  The pendulum of a grandfather clock is 1.0 m longn(k asm, k2 kg5x)8aw+pdah s.. What is its period on the Moon where the acceleration due to gravity is only.(k)ks m+8ahpxs na kwa2d,5g $1.7 \; m/s^2$?

  A simple pendulum consists d ipl2/vp7 d u1bin09r-n rj4uof 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 resulted if a 0.50-kg mass (same diameter sphere) hd4rl 1pujn9i/d 2n ubr-70pv iad been attached to the string instead?

A simple pendulum consisting of a 20-g mass8 i/ox*b )n2sd33:zso rad 9h ef) fllys8e-mi has initial angular displacement of 8.0e. It oscillates with a period ofn i-z2 *:/shx8a33d)sdle 8 rfebl)mfiysoo 9 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" ofujd 8:ueu0 8f q7yc )t7w)az/c rxuux7tvw98b a wave at a given time. The frequency of the wave is 120 Hz. Wxz:t 8)xy8udu e7wu 0buvuj8q )t/a977 ccrw fhat is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given titmvsr43z/ej-bbr6wgq tlj,p.tr v 2rr( * 9 a)me. The frequency of the wave is 120 Hz. What is the w)9*qt3r z as,6v.r /bm te2r4 jg(jr l-rvpbwtavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequen 6dkwgda,n(eq )lm53nxfm c7h3du57ccy of the wave is 120 a cxue(nwn,)qf7hd35 mld g65d3mk7cHz. What is the wave speed?

  What is the frequency of a wave which has a perono.isl f /y ,m3;oh-mt2o1ijiod of 6.00 ms?

  What is the period of a9kb2n u):zo ng;:z cgd wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a ts( zw0 )ejs-ynr1dc- frequency of 12 Hz and a wavelength of 3.0 n1zs rdw 0te-yj -(sc)m?

  What is the velocity of a wave that has a wavelength dsr ar.(fjy *5x5 t5pxof 3.0 m and a frequency of f5xysr t5xa.* jr5(pd 12 Hz?

  What is the frequency of a 2.5 m waqn2h0qo dvez2 h;v p 4-e;s;lim/a pz5ve traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tension*bdt xft.., *ctklnh+0m/ kup5p9wnk of 1350 N. What is the wave speedt d *ftknp9cnph+.*wkt,bxu . /5ml0k ?

  A string of linear den8r/w 2aujm1e rsity 6.0 g/m is under a tension of 180 N. What is the velocity of propagation of trans/u8rje m1w2arverse waves along the string?

A wave whose wavelength is 4b-bx lzo), mm0.500 m is traveling down a 500 m long wire whose tot 4-zbmomx,)blal 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 propao+gx:* 69 syjrz vxk*;+fhngmt. *jsngation of 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 resonants:*x+x*k gn96myrh j gs.ofj+zn*; vt frequency of this string?

  If a guitar string has a fundamental frequency of 506e p73::aqglw/wtlvp 0 Hz, which one of the following frequenciel7: wlgt3a6:p/vew qp s can set the string into resonant vibration?

  A stretched string is obsejbhe.k pbb 06*rved to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency 0.jb eb pb6kh*will set up a standing wave with five equal segments?

  A string, fixed at both en vx1 cvpytu83.ds, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 .u1 ycvx8v tp3loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. Wh2uk/yyx, ryf5at should its length be if its fundamental resona2k ,/xfyy5uy rnce frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 g/my6xj xgi n+pie050,f s and length 0.600 m when it is subjected to tensn 6+xxpeii 0fs50jgy,ion of 50.0 N.

A string of length 2.5 m is fixed at both ends. When tkz2a*j+1kqokcx -; g)a de +nfhe string vibrates at a freq2d gna-fe+)jk ko+c *;zaqk1xuency of 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.