The time for one cycle of a periodic xl ra:e /;ccl4process is called the

  For a periodic process, the number of cycles per unit time is called tcd4awnx,85 7q b kpwr.*cu1 qfs 0-uwthe

  For vibrational motion, the maximum displacegmw r8 - zh66z.6oumyjment from the equilibrium point is called t6-rjh 6z6uzo.g 8 ymwmhe

  A mass on a spring undergoes SHM. When the mass ip9 b+bzobtm) 0yov6 :vwx3t 6ks at its maximum displacement fb o: m6z) 6+ovbxp0vktty3 9bwrom equilibrium, its instantaneous velocity

  A mass on a spring undergoeq4)rgb 4-rlycvhv l f-owri -2wl ds c1+6(xk:s SHM. When the mass passes through the equilibrium position-+w-)dkgli- h fvlcr xc:4b (rr6vlw14 ys q2o, its instantaneous velocity

  A mass on a spring undergoes SHM. When the masezbyown/ /- ck,f/ya4t tn+2j s is at maximum displacement from equilibrium, its instantaneous acc/t/ft/ o y+,ycewkz2nab4jn-eleration

  A mass is attached to a vertical spring aq:g/+tj n8mohnd bobs up and down between points A and B. Where is the mass located :ot8jm h+/gqn when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up ang15 n hxwwdg3nsev.b e:54- mpvcbt 8k4e7 wg1d down between points A and B. Where is the mass loca3w1w gn e -.nvwbpvhc4egx5mbe5t:dk8s7g 14ted when its kinetic energy is a maximum?

  A mass is attached to a vertical sprin:opx0jrv y pvi ;dr5z(e0f1i2g and bobs up and down between points A and B. Where is the mass located when its potv r;d: ixo0rpi0( ypz15jv ef2ential energy is a minimum?

  A mass is attached to a vertical spring and rtbd;s)hncx ;i3mk ,i b(n-zfh4 c).zbobs up and down between points A and B. Where is the mass located when its p.x;hdb cri3zsc (in 4nb)mhz, -kf);totential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring system a,a-v0) eevpuj1m;3noa cz n8produces what effect on the system's mechanmpe na e-j30a1cau,zn) vv;8oical energy?

  Doubling only the mass of a vibrating mass-an:p d1+rss*wj hd-spring system produces what effect on the system's mp*ds:rs w 1hj+echanical energy?

  Doubling only the spring constantav2 mjgo9.q 1j of a vibrating mass-and-spring system produces what eff1.9m vajqogj2ect on the system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Moon. W8o f7il qb(+ gk05cyzdhere is the 7c+(0g8ybl oifzd q5kperiod the greatest?

  Increasing the spring constant k of , env,6i u)vapa mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no change in the system's ,aui) vn,p6ev mass m.)

  Increasing the mass Mih 8)tfacsqgck5(, 6s of a mass-and-spring system causes what kind of change in the resona k6)sahi ,c58 cf(qgstnt frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring syste 7m .f9v18awlb)- swp2qitoewm causes what kind of change in the resonant frequency of the system? (Assuml.matvw9wwfsepb i)o- 18 7q2e 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 ma*1c8 cmi.u d7,sr kphcss M attached to a weightless string of length L. For this system, when undergoing small oscikd 7i1s,m ph *rccc8u.llations

  When the mass of a simple pendulum is tripled,bs m 780hn0 yq 7vfwe6e9qy5 i8hds:mv the time required for one complete vibration v vy h6f 9hsbsey7:qidw00qe 858m7nm

  Both pendulum A and B are 3.0 m long. The period of A is T. Pendulum A is , r*bd i3od4outwice as heavy as pendulum B. What is the per,bd*r3 ou oid4iod of B?

  When the length of a simple pendulum is tripled, the time for) e+gzh7ptx8ga 42son (sx3ta one complete vibration increases by a 8( +237sx)xpg4ttnsh aagzeofactor of

  What happens to a simple pendulum's frequency if both its lengtoy0c5na ira (ydza2xl73wy5s ex3,0 dh and mass are incredda0x 3 eysy 7y0i5a3 (wxl2n,r5c zoaased?

  Simple pendulum A swings back and forth at abqo/mv+d ;hx: uui7(b a1kb3n 6op -ttwice the frequency of simple pendulum xb+;dpivbo6b-u oh:unt1q3 km/( 7aa B. Which statement is correct?

  If you take a given pendulum to the Moon, where the acceleratiocqub ; 1+9p7m6auworqdmz2 duf+t h03n of gravity is less than on Earth, the resonant frequenbo7d3u1uhfz;w+9a2d+c0m up m tq6rqcy of the pendulum will

  Curve A in Fig. 11-1 representss+q.dq k5tt0 x

  Curve B in Fig. 11-1 reprez3.o cp.j 2/ laydwz) llr25fesents

  Curve C in Fig. 11-1 repre8ipdahj 7q.:aka3 w 0msents

  For a forced vibration, the amplitude of vuf;1;hui kng9 ibration is found to depend on the

  In a wave, the maximum displacement xsd.i 3d4r3 jcwic1,g-ta 1rnof points of the wave from equilibrium is called th1ct-cxj,g. d3 i irra3 dn14wse wave's

  The distance between successive crests on a wave is called m,73rrvkws9yc o .9wythe wave's

  The number of crests of a wave passing a point per jy3sj3i+ 2hv6qx 6+aouaw g7m unit time is called the wave'u+ojwm7v+6 6ay2xi3qja gsh3 s

  For a wave, the frequency times the wavelength vqus a 8x/lfj3n /-:kiis the wave's

  The frequency of a wave increases.rth4ujfj, 6 q) What happens to the distance between successijf,4 ) q6uhjrtve crests if the speed remains constant?

  A wave moves on a string with waveleng1r *y*oa) duteth l and frequency f. A second wave on the samr*u1ya o)e *tde string has wavelength 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, and tension T. A stalck.c+9qw o)v)*7oqe nyz4p2 b( j qcunding wave is set up. Which of thccoy2pv)qknjuqq(zl* 7b. c9o 4+)e we following is true?

  A string of mass m and l3 utylu aj)q49ength 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 string is increased to 2m, with no cha9aj3yq ult) 4unge in length?

  A string of mass m and length L is under w60*c gu4fy w8ienq c0vhsiz48a xp:1 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 length is increased to s 04z86nhx:* a1c vyfu8wp4c0ie wigq 2L, with no change in mass?

  A string of mass m and length L is under tensi6 cb+4v.0 -zk gfkkbdwxe) jeo nj.0w4on T. The speed of a wave in the st-kkzk0w.dj4 +gnbfjx0eo4v cw b6) .ering 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 transverse wave. As an S wave oj;x1eoc e 56 lnn5b:itravels through the Earth, the relative motion between the S wave and the particles ;noleob1 56cn5x:ji e is

  In seismology, the P wave is a longitudinal wave. As a P wave travels through th 8f;dvg*u+ vpae Earth, the relative motion between the P wave and the paguv8fapvd;* +rticles is

  The intensity of a wave waerz.643uvjy .fe 4fis

  A wave pulse traveling to the right along a thin cord reache3 - vdk*rnbp2gs a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and tran *r3pb-nd gv2ksmitted pulses?

  Two wave pulses with equal positive amplitudes vgs;t w/,d1nol* amw:pass each other on a string, one is traveling toward the right and the other toward the left s*1tgwna d/, vwl;o:m. 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 dpm1oq1 6llm 6kph*9ctoward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the19l*1d6lqhopm6 c kmp point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed atf)btaxapt 26: both ends, occurs when

  If one doubles the tension in a violin string, the fund qs ;u5f0i.nltamental frequency of that string willu ;0iq5 ntfs.l increase by a factor of

  What is the spring constant of a sprin jqpt 6)hk(wtc):of4 4 tl4j2 2aezfikg that stretches 2.00 cm when a mass of 0.600 kg 6j p)kqecjlz 4 k:aftoti(24 2fwh4t )is suspended from it?

  A mass is attached to a3, +aeei(v.2bo9k;drkukb i s spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a de. es,b;irk+u9 (i abkokv32force 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 sprd9p1hp 9ou;;:ds 78h2uyqa/pkn bl7zjwv; pking 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 owp jlvh92kd 7/;psk:ud7z ;y;u bpahnq98 p1 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 sprin9 rg-sxo48oleg 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 wh 9eso48gl-xroen it is oscillating. What is the frequency of oscillation?

  A mass on a spring underg+f7odqk8tbg / s.t9tixqe0k;b3l3s) :itlizoes SHM. It goes through 10 complete oscillations in 5.0 s.sqtd t/oxlib3e3stg itf 78k i q).k:;bz+90l What is the period?

  A mass vibrates back and forth from the free end of an ideal spk j*f l40c-o*3 kk)yflv+nyk j*a 5gswring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energ*ko)v y*-kakwjl gsjc05* fknyf34+ ly 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 alongci/3 anc2y( ze-u3g1yn + nnhg a horizontal, frictionless surface. The object oscillates in simple harmonic motion and ha+ig3ya n (1 n3-gy2zc/henuncs a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amr) 5 m7u-c nk-jb.jfkgplitude of 4 cm. The energy is 8.0 J at this time. The mass is cut in7kkn.r fjjb m)5-g- cu half, and 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 a spring of spring constant 20 N/m along ybfdx: 8tl:l: a horizontal, frictionless surface. The object oscillates in simple harmonic tx: :f l:dl8bymotion 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 a spring of spr0fop 56wch e yj2;oclk4:xtg8ing 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 positktp ge205cw4yh 8:jl6;cfxo oion. 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 constant;x0xh5hw, bspxsq/+u p9/qp b 50 N/m and set into simples ,/hpxb9; xxu sq5bwp+h0qp/ 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 t-3 3(h uijadvo;ore0w +j::u :zyyiqj o 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 :vqud(3yj:jz3 ai+ wu;o h re:0ojiy-is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of an ideal spring .ves37gix ;6 whf:iiuof spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic ener6 h7fiiw sx:3g;vu.ei gy of this vibrating mass?

  The mass of a mass-and-spring system is diwv:6l25pz 1 0 uyibtgosplaced 10 cm from its equilibrium position and r yblp6 ou w5vztg21:0ieleased. 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 released?

  A 4.0-kg object is attached to a spring of spring constant qid9 7bo(q2 8 vc ac,nzsrt5tig+b+3d10 N/m. The object ia37 qi(ro 5ncc+ ,b2 + 89qgtbvddzsits 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 spring constant 10 N/m. The objech* mh co71ib2st ic i1*shhbmo72s displaced 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 qxuiz8m3 m wh/e/p,oxge:f. 7spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What i/ e gox/ ep7im:8qfzuwm3h x,.s the frequency of its vibration?

  A mass is attached to a 3nldsaox/ ,q /lc*jf7spring. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and x3n lfjq/ 7la,/sco d*released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vvqq;t9hp/djjzppei7 xuyw58)b 0*z 0ibrates 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 doe px0eiup0jd y9 tp/ h5 zwq*b8;jq7vz)s the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspended on a 3khgv)i 5:1+fxq yefg 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. Cakh1q)yx3gi +evff g:5 lculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass str88qbbkm3)hnxigm :o -etches the spring 2.0 cm downward. The mass is then pulledq8mnxi b )-mhg8k:3ob 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 s +-0 m8yiowq3spbz-p 6)4i( lv ulpvhcpring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is -(v3y b6 pw 0o+c)pimpslzlhi 4uvq8- 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 motindi*n- pfyx:/ ci8njws2 76kcon obeys the following position versus time equa d:nw 8k 7n6jfc*x/iisc ny-p2tion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the following position versus time equpdsv-), knza+ g.7vgt+:b nlj1 lxi (.fsk)kr ati ) af:skz+,r g)7gnsndxk-vtjv1 l.i(b +l p.kon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic mo*j 4trhh/u owu. v4 6l8i5 udmf59rvlgtion obeys the following position versus time equmuu/o4.86v5ih5f r94u lhvdlw *r jgtation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the frh-g9 /bln3d64j-dk;xu wwwo*k ec l8iee end of a spring executes simple harmonic motion according to the equa-8bww ;d 9k3wiu/d xle-gknc 4 o*6lhjtion $y = 0.50 \; \sin (18\pi \times t)$ 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 o4ovw x.ytgm /(f 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (T y4o.( vw/xmgthat 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 8-3swvbm*h85r , uytyj4c4qvi hu y6o).0 s. (a) What are its frequency and pesmtv4 u863)o hr4jc-hyq yb *,ui wvy5riod on Earth?

  A 3.00-kg pendulum is 28.84 m long. What is its ped kxyud 1dar* y+ipnjb+ 5gds-:j9o2 ;riod on Earth?

  A pendulum has a period rho23cpc6k sy-vz/: iof 2.0 s on Earth. What is its length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the Ea/b27c b7zidax rthd77xcaz/bi b2 ?

  The pendulum of a grandfather clock is 1.0 m long. What is its period on the sa)jt)dv-j ed4u871m3jdtjqMoon where the7t j sj jd)4aj1 d-dmu)tq38ve acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consist5 +fyp2ciqisy ub)92t s of a 0.25-kg spherical mass attached to a massless string. When the mass isi9 t+c)fbpui s2q5y 2y 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) had been attached to the string instead?

A simple pendulum consisting4a;j(tmvq r+ omai6yf +i-.oa of a 20-g mass has initial angular displacement of 8.0e. It oscillates with a period 6a;it4 +yj(amvrq- ooaf.+mi 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 given time. The frequency/ -pgn;637vluopcm ej+mft1b of the wave is 120 Hz. What t/l3c u bo16-f7mempjn ;vp+gis the amplitude?

  Figure 11-2 is a "snapshot" of a wave at t.m/(iamqpz 3 a given time. The frequency of the wave is 120 Hz. W/z m3m.pqi( tahat is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wavvwo e,;nt3,tj b 81wf-dzw.daa)j r*be is 120 Hz. What is the wave speea.w*o1e tbw3 dav8z jd),,-jw;rtnfb d?

  What is the frequency of a wave wh rzyk zz,wz0 (j/:;troich has a period of 6.00 ms?

  What is the period of a wave with a f ;jsq qxj zd2qd0j)l/v,y3f:bnl.6hkrequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hz an:6o*cqx zpe+ wqq2q.b d a wavelength of 3.0 mqe+q *c6qq xbwp2:.oz?

  What is the velocity of a wave that has a wavelength of 3.0 m and a fre80uff::)up q u) gupdqquency of 12 Hz?8)fupf0:dg:q qu u p)u

  What is the frequency of a 2.5 m wave ta8jf4vzhj4 f6 7y ay;,l+ aoloraveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a teneys3w (tl0 mm5sion of 1350 N. What is the wave spy0 (mlms t35weeed?

  A string of linear density 6.0 g/m is under a tension of 180 N. What is the v7+y- k+1-ppm trhvq loelocity of propagation of transverse p+7rk-h vyo -t lqm+p1waves along the string?

A wave whose wavelength is 0.500 m is traveling down a qw1;oq5w 3te0na (p, zmnvq y8500 m long wire whose total mass i3qo1 (;0twayq ,nnqvm8wez 5 ps
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 strin da(z 81dpa;txowr 08jg fixed at both ends is 200 m/s. Which one of the following t1wd (r;p8zxja0d ao8is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one ofk amq)/bh .v+q;h9 a:xqhi* sy the following frequencies can set the string into resonant+ bhvay ;qk h.hq):axq*ism/9 vibration?

  A stretched string is observed to have four+foom;r fg)1r i4v x2jyn3a5b equal segments in a standing wave driven at a frequency of r x42j 5f ;)3anogo+fmyvirb 1480 Hz. What driving 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 standin bjffk7(.t4kdar+/ fsfd1 ws .g transverse wave pattern containing 3 loops. What frequency is needed if the st.f 7f4a dsdskff1r/t w.+kjb(anding wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What shoun-4jef l */ytjj s0su5ld its length be if its funys-/fl4 n j05ejuj*tsdamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear masgq(1bcdq2xe/j 3 f*ci s density 2.00 g/m and length 0.600 m when it is subjec b c2 g1q/3(dxfqej*icted to tension of 50.0 N.

A string of length 2.5 m is jvu1ik1iucd 9icrb4 sg;m 4a0xf;:y;fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops air 0;ib4 sgc;udu4 i fmx91vj;1k yc: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.