The time for one cycle sz jfmbeq7(29mb qz - jr8s,g8of a periodic process is called the

  For a periodic process, the number of cycles per unixh)nh +u 5tf7r/ou8 fot time is called the

  For vibrational motion, the maximum displj pc( tcngqvv7 l,0,g2wd33 ynacement from the equilibrium point is called v,y g2pj(t7wn03vlc3gcd n ,qthe

  A mass on a spring undergoes SHM. When the ma+mpq te x-p.a::4xmotss is at its maximum displacement from equ: 4omtte-. +pqpxxam:ilibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilibriumq3mfh (8dyw:6mso m4 s position, its instantaneous velofqmw3 sm8s(o ym46:h dcity

  A mass on a spring undergoes SHM. Wqtvi ejf9k5u x(0e+e ;hen the mass is at maximum displacement from equilibrium, its instantaneous a;i50e 9vf ekj+qe(xt ucceleration

  A mass is attached to a vertical spring and bobs up and down between poh0t -d0:i yh 5v(;vlrn:cm.c2 q mvuxsints A and B. Where is the mass located when its kinetic enehcl-qrsi2 t0m .yvn ;v:0vx :mhd(5 ucrgy is a minimum?

  A mass is attached to a vert64yptgkcy)w1h 2io s3c: bal2 ical spring and bobs up and down between points A and B. Where is the mass located when itsg o1y :phcl2icb32ky64w s)ta kinetic energy is a maximum?

  A mass is attached to a vertica0xqxd bk9wr, 6ao j2p+kc:cv3l spring and bobs up and down between points A and B. Where is the,c v6dq+ kpxobkac:r 9 0wx23j mass located when its potential energy is a minimum?

  A mass is attached to a vertical spring and gy*isank/k+ cl 4g++wbobs up and down between points A and B. Where is the mass located when its potential energyyi4 g+*sl+kwnk /gc+a is a maximum?

  Doubling only the amplitude of a vibrating mass-and-spring sy0bifkvdb6;-dj 7s-dd.s8f: g p x7uxsstem produces what effect on the system's 6ss-.ddjfx7v -x87 is; :fbkp0u dbdgmechanical energy?

  Doubling only the mass of a(ynyak aoz 2;1 vibrating mass-and-spring system produces what effect onya1o(y 2z;kan the system's mechanical energy?

  Doubling only the spring constant of a vibrating masym g *ils5stv+5hnrsj3*w+2 ns-and-spring system produces what effect on th3l5v5mnt g *sh rn+iwj+2*ss ye system's mechanical energy?

  A mass oscillates on the end of a spring, both on Earth and on the Mon/+ rqfeh/ )ncc+e 7an s-z)st)keqw-on. Where is the period the c neznqq s-wh+n)f//kt sc ) a-ree7+)greatest?

  Increasing the spring constant k of a mass ruajqco1np,rn7z w09qh*v/27a( dxd -and-spring system causes what kind of change in the resonant frequency of td*hwa19co(d nr 0q7 7qaxvp/,j z2urnhe system? (Assume no change in the system's mass m.)

  Increasing the mass M o2a4v9ns m3 qpd w)f- o:ay-oikf a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no changesoqpiknw y2d:v 4 )3f9mo-a-a in the system's spring constant k.)

  Increasing the amplitude oyzajg7,k: dq:lazz ;; f a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no other cza ;, 7lqak jy:gzz;d:hanges 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 2p91lqe zq2n 3qe7e9)z2 ogznamt.v ga mass M attached to a weightless string of length L. For this system, when uv eze t1 q)3n9 .g2 pqgonqz72ale29mzndergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requi2;) vygkvlbtx zmyb,nx,; cr5 w;m81l red for one complete vib2 tvx),mrb8; ;n k lymycglvbw 51;z,xration

  Both pendulum A and B are 3.0 m long. The period of A is T. 3kwm m1flp a-;v,fhrnf le*9:Pendulum A is twice as heavy as pendulum B. What ih :w*,a93f ve-1p rnm;fkmflls the period of B?

  When the length of a simple pep+xr-kd)g bq, rr22 hnndulum is tripled, the time for one complete vibration increases by a fact+2hk qb2)pdng, -rrrxor of

  What happens to a simple pendulum's frequency if both its lengthm nh09y*(xuza rul2f + and mass are incrl a(*mrf 2zyun09xhu+eased?

  Simple pendulum A sw 7l3*qoa hbnm9o))crh ings back and forth at twice the frequency of simple pendulum B. Which statemb o7)9hn rcha3*oqml )ent is correct?

  If you take a given pendulum b i7v51af l vf/o6k(ahto the Moon, where the acceleration of gravity is less than on Earth, the reson6lv /f( 7kahovibaf15ant frequency of the pendulum will

  Curve A in Fig. 11-1 repx/+qptt ;4w nuresents

  Curve B in Fig. 11-1 repres zgapbpjna+ 5du3sj*gt//8sicr-8/r ents

  Curve C in Fig. 11-1 repres3zmtu0v . z+vj9 fyw;eents

  For a forced vibration, the amplitude of vibration19 mj t.0 vbw w6wi,dq2ufsn.p is found to depend on the

  In a wave, the maximum displacement of points of the wave from equilibo h4ocdsow /61e;l -wlrium is calleolo-shl6 4 ;1dw/ ecowd the wave's

  The distance between successive crests onukf;n d qtxr5 wtx )fzxe59;(3 a wave is called the wave's

  The number of crests of a wave passing a point per unit qp1(qtvb 0vf 4uq8;,h rx.chktime is called the wave'sh vc4 h(p;vxk ubq8.10,qq tfr

  For a wave, the frequency y* j,oebp;ka o rm5);msi)wg1times the wavelength is the wave's

  The frequency of a wacegu0t ;fe t p41w)4hgve increases. What happens to the distance between successive crests if the cttp1g0 4hg4u;wf e)espeed remains constant?

  A wave moves on a string with wavelength l and frequency f yrtb/ab 292il4ml r7f. A second wave on the same string has wavelength 2l and travel/bybi4alr2m t2 f9r l7s with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a string of length;td0427sge -wkohl*o 5a5b/ brqndlk L, mass M, and tension T. A standing wave is set up. Which of the following i7t2 g d sa-k / dlkb5qr4*0booh5;wlnes true?

  A string of mass m and length L is under tension T. The speed opl5wa0g5 irgd e8 aj*igl 8e25f a wave in the string is v. What l0ja5ld858we2g i5r e*gia gpwill 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. The speed of a wave ig 3z2 v) ocv)li:;-ukhnk lx1e*et6*is 0ul idn the string is v. What will be the speed of a wave in the string if the lengku k:6te llu*xd-;v e1c3 n oii) 2z*sv)g0hilth 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 * i*qlcw78 uemi9.vvn string w7* i8n.vmqu9 v*elci 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 aoxm4y:; ies: pgc7)y e transverse wave. As an S wave travels through tho:m;y) 4sypieecg7: x e Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wa l/3kq ,dpbk5u xl1oxu6 :ap5mlti(4 (mco t)wve travels through the Earth, the relative motion between the P kowl (u1t:435plmumqx5k b,l/6xad(pcoi)t wave and the particles is

  The intensity of a wave is5v)p asto: cv1rlp p(ku658yu

  A wave pulse travelings*.o )1nxq 2pd rihcqkl6ii 39 to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflectikq)o9 6 cq2pi*i x1 3r.ndhlsed and transmitted pulses?

  Two wave pulses with equal positik;rjpx e4 r0qss8rnv/k2,hk ,ve amplitudes pass each other on a string, one is travksk4jv n;/re 8 , rhxp2s0q,rkeling toward 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 tr)f ;usv3kr1baaveling toward the right has a positive amplitude, while the one traveling toward the 1;uk r)f 3asbvleft 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 4myf cpmmie;w2l7 ( 9uyg-*rsas a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fundamentaria(bc-9kwh 3p 9qn qzacz5la03/p: hl frequency of that string will increase by ahq ck/9n59i-papbl 3zw hrca:q3 (z0 a factor of

  What is the spring constant ofg-jdmb40w l/v a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended fm gj04/lb-wvdrom it?

  A mass is attached to a spring of spring constant 60 N/m al)pw3r mry3seco(p 1i)ya8 5e+iwgzl6ong a horizontal, frictionless surface. The spring is initially stretched by a s p53a3 p8 )c)r6wmy e1igzlo +iw(reyforce 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 (wlnym.l( m( ql(ep2y of spring constant 60 N/m along a horizontal, frictionless surface.l(y (eqwlm.(ml(yn2p 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 oscillation?

  A mass is attached to a spring of spring con 0*aqpbpbsl4xw7l/5 istant 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 xs4a7 b0/q*wlblp5pi the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes thro,)f;fu o;dqh augh 10 complete oscillations in 5.0 s. What is the period?d;u) , ;hofqaf

  A mass vibrates back and forth from the 0xmk f xpr6ru67w,fn; free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.7n6u6fk 0xmfr rpw ;,x30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a aku +t 5g-yna2 ehgs2)mo lv-po5q8m7horizontal, frictionless surface. The object oscillateh8o2 g+una-qm-yv 5pmk57oags)t2 le s 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 a3qqy5h r ysb9 7tmd7o.5ne-pf mplitude of 4 cm. The energy is 8.0 J at this time. The mass is 57 s 57onqmt3hqef-y.by p9drcut in 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 a h1mtd-. yra uf,orizontal, frictionless surface. Thyf1m,-r.d uat e object oscillates in 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 a e 1e/;aik4x7 lyj//k ig5wax tspring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscill75l// ake ;geay 1wxjiik/4x tates in simple 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 to the end of a horizontal spring o +5lqq k/kg2uc0jhijm 0d7n:m f spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What: qckq+7kldj gm/ uhij05m20 n is the total mechanical energy of this system?

  A 2.0-kg mass is attached to the end of a horizonjzzh e; *o;vyty yjy2,rjs49g 81c-zn tal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total, j81y-o c vz zgyzjenh4;*ytr2ysj 9; mechanical energy of this system?

  A mass vibrates back and forth from the free end of an idealnse2s4g ad+5r spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is tdnae+ssg24 r5he maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system is displaced 10 cm a4hgomhy iafh*xv4q m /764t 6from its equilibrium position and released. A frequency of 4.0 Hz is observed. What frequencyhv mya7foi hhaxmg64tq 644/ * 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: 5 fmpxvg7b.0*xy q/)tmh apnlx0z9j constant 10 N/m. The object is displacevaq pnlxhmb:5jm97/y) pf* x0x t. z0gd by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is atta,w5oc1tse*d g ched to a spring of spring constant 10 N/m. The object is dids 5,g*o 1ewctsplaced 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 c0jgb wz2*uz06ixopq. onstant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequencpu0b izj20g*6x qo.w zy of its vibration?

  A mass is attached toq k ty8m3 dn)xt;pgk )1/hwx2o a spring. It oscillates at a frequency of 1.27 Hz when displaced a distancn/ o);h1 xykkgd) qtx8t wp23me of 2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different w buo.msdz3; qm yzw t1d,yx6i)(7+tor /gwr;springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B t t)+ yrwz m6bu ,myq7oi(3g.;1dxd;wosw/ zrvibrates 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 sprt8n/q) q -*nj 9jwcmnbing. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down at/qnwmbc8 ) jj-*q nn9nd released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spls z,h qj nk7hd :8bwg4)q:-b2jfvh3vring. 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. Calculate the total energy of the system2v3vbb )znh,d8f- k:4qj jw: sglh7qh.

  A 0.30-kg mass is suspended o(gl:hsx 0 s6xcn a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass (0c s:xxlsh 6gis 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 following position versus ixpa(xf9p;zb9 :+;s k w7z xxztime equ9i+x:xz akz( p;px97x;wbfzs ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followi.jt87gaow v / f)rcufvdz3c5 *ng position versus time equation:v jcr*d/uocwf.tz385 v a 7)gf
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following positi9ks ph+3 jjr1oon versus time equation:okhj s9rj3 p+1
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the frc: :yjh p6pyf5ee end of a spring executes simple harmonic motion according to5hfyy 6c:pj :p 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 to spring with a force constant of 20.0 N/m oscillates j-)d3 r a*+g*h tnr8ubidwll9on a horizontal, frictionless t n-dt )blaud38glh *rij9+*r wrack. 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 s 8j,c.ygnjk y9/lw h3ywings in 8.0 s. (a) What are its frequency and period on E9w./h3lc, yg yyjnkj8arth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Earthhc w (lnxi1c 0tblabkxy/oh8om-7 - 64?

  A pendulum has a period of 2.0 s on Earth.bi qkrt1 w8 8rhqc:;r4uh4 gr7 What is its length?

  The pendulum of a grandfather clockiw52r7pls-lwgo b o ,0 is 1.0 m long. What is its period on the Earth?o0 bwgpl2 -5os, rlw7i

  The pendulum of a grandfather clock is 1.0 m long. What is its perioi-f.o/.yv/j /e1 orl x ul8uybd on the Moo.rloo uy -1/fy/8vli/euj. xb n where the 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 massless sg2ar*d cl8 eu.((hyql n.,trntring. 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) had been attached to the string instg dyl.rn .alhu( er 8tn,(c*q2ead?

A simple pendulum consisting of a 20-g mass has inigr,zm jb72g m-zouqyn1 gsrqy;*//8qtial angular displacement of 8.0e. It oscillat ;72ygnzorub8rgqym1/z-gj /s* qq m,es 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 given time. The frequency of the wa+zmf+v p l df16fpwbd328dly) ve is 120 Hz. What is the ad)83w 1dffp+lmlz vf26bdpy+ mplitude?

  Figure 11-2 is a "snapshot" of a wave at a given timlum k upo7/v cpca/z;v;vb5u19 ky. un.tsv +2e. The frequency of the wave is 120 Hz. What v. zkvm/o u5;b1 kpc +u.t7 cpnvav9ul2 ys;/uis the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequen4sb) ix-) zd mz*l7bnncy of the wave is 120 Hz. What is the wblxzns mi)d z4- b)7*nave speed?

  What is the frequency of g;p xd2vuok7/1sl 6xi a wave which has a period of 6.00 ms?

  What is the period of a wacn r+ yokwvyp szai01/j3d(72ve with a frequency of 1500 Hz?

  What is the wave speed if dhe48we( onur a((j 4f(mr8cqa wave has a frequency of 12 Hz and a wavelength of 3.0 jr8q eo h (f4raeu8(mncw(d(4m?

  What is the velocity of a wave tiox:m6.bg; qx hat has a wavelength of 3.0 m and a frequency of 12b.g o6miq x:x; Hz?

  What is the frequency of a 2.5 m wave traveling at 1400 m+ad //e ehzxssb(+*n p/s?

  A piano string of linear mass density 0q/qqfu,0/u d (abgx e1.0050 kg/m is under a tension of 1350 N. What is the w1/ q gudaq( /fuqe,x0bave speed?

  A string of linear density 6.0 g/m is underaysyx d,, 8))m05 +r locjfd;tp2bewc a tension of 180 N. What is the velocity of propagation yae8w)mcp5dtd;, y b,xsflj2 c0+)ro of transverse waves along the string?

A wave whose wavelength is 0.500 m is traveling dowz)gba:j53-n brlo,e hn a 500 m long wire whose total3z) -,g b rlhj:bo5nae 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 transver6lw it).t(tlqj/,ma.(sc wjnse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of s,a6 qcl) w/i(tj mt(.ln jtw.the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frtrv5tt ltr47 mr1tw) kz .fb.s b72.sfequency of 500 Hz, which one of the following frequencies can set the stri7t lv1rw t.rk4tr.sm. b 2fb7zts )ft5ng into resonant vibration?

  A stretched string is observed.ce cj4qjni6, to have four equal segments in a standing wave driven at a fc4in jqe,c6j .requency of 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency oo: mc01tj)1cwdmm) a0w 2iw l*ivuv8cf 12 Hz with a standing transverse wave pattern cont mc*0:c c 1owwd)iuj)8wm mt10va2l ivaining 3 loops. 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 tensi2w:z+ -y pz7dgqt1q lxon of 20 N. What should its length be if its fun z-y+wx :dglq1qp7t 2zdamental resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass dend,si-0cqu ju 0sity 2.00 g/m and length 0.600 m when i0, i- uj0udsqct is subjected to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. Wh;7(lfd7hujqwn: paa0t*es 67t2eh fhen the string vibrates at a frequency of:( 0 luteh2sn7d7hfajw;e 7q t6pa *hf 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.