The time for one cycle of a perio1g1q otsiaajc4b u 8+2dic process is called the

  For a periodic process, the number of cycles per unig.zpawi 8)kf. t time is called the

  For vibrational motion, the maximum displacement fgspy.6 0qc ; a9j+mwnhrom the equilibrium point is called th6q cms;nwp +.hjy0ga9e

  A mass on a spring undergoes SHM. When the mass is at it ,ixuw38e.fvge yu-s4s maximum displacement from equilibrium, 4 g-,s8e ieuf. u3vxywits instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equili6ih uhx:g mg 0ez.jrp)*v+3ukbrium positirkpj *gh u+)3mxv6 i.eh: 0ugzon, its instantaneous velocity

  A mass on a spring unders*l:7+kme ik vgoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous accelerk :ve mis+l*7kation

  A mass is attached to a vertical spring and bobsw3cz k2erj7 p(4 dt4kh up and down between points A and B. Where is the mass locatedp cwz42he 73jktk(dr4 when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between pointsfd5cmo i 0dd7ll5yi)4 k7feg( A and B. Where is the mass located when its kinetic energy is a maximd4d 5l)gekilcoif0 7dfmy75(um?

  A mass is attached to a tg2k1kva( 3emvertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimum 1ekvmkag( 32t?

  A mass is attached to a vertical1vo7dqpui1 -oo)8l cdi;v7 uh spring and bobs up and down between points A and B. Where is the mass located when il7)u-qh7 ;iovp1ci d 1dvouo8 ts potential energy is a maximum?

  Doubling only the amplitude of a vibrating mass-and-sprinrl wh(koe)855/ dsthkg system produces what effect on the dw/8ek s trkl)ho5(5 hsystem's mechanical energy?

  Doubling only the mass of a vibrating mass-ank/ dv0 ;aqpk-gtf3ome,+cv -lf vyi 1*d-spring system produces what effect *v3ki/q-tfe;f k 1-pv0vgcml oy,+daon the system's mechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spr7l :mr,p rahg-ing system produces what effect on the system's mechanical enp,:g -ml7 arhrergy?

  A mass oscillates on the end of a spring, both on Earth ad;nsnyq,v+m 9 nd on the Moon. Where n, ynq;s+ md9vis the period the greatest?

  Increasing the spring constant k of a mass-and-spring system causesknssnk9e*g6 r8fwd0h: l:c + n what kind of change in the resonant frequency of the system? (Assume no change ek g+nr6:*0h nfsk d9:nlws 8cin the system's mass m.)

  Increasing the mass M of a mass-and-sprinr geqzl :ns)++kx5p 0lpr sw ;l(b/u5sg system causes what kind of change in the resonant frequency of the system? (Assume no cha+5 qsk5p els+ub 0ll)psw ( n;r:zx/rgnge in the system's spring constant k.)

  Increasing the amplitude of a mass-and-spring systemvyv(l txuks )f1t5b+.w .2 jvu causes what kind of change in the resonant frequency of the system? (Assume no other changes in tyv . xu v5kt+tbslwj1.2vu)( fhe 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 s i6t,,cg 9thol.xuy,jif 1p9qtring of length L.,ig9p .9qtxlcuo16 fy ihtj ,, For this system, when undergoing small oscillations

  When the mass of a simple pendu4kalf ouh.+3k 3m lfg7lum is tripled, the time required for one complete vibra gh4fu3 .l7k kamol+3ftion

  Both pendulum A and B are 3.0 m long. The period of A is T. Penduliu itm)5tov62 k -ndrmaj4f--um A is twice as heavy as pendulum B. What is the perk)mido - jft5ri-4t-mnua26viod of B?

  When the length of a simple pendulum is tripled, the time for one com e-5poh*f7mi3kiw ;aaplete vibration increasehokaiai-e f; *3pm7 w5s by a factor of

  What happens to a simple pendulum's frequency if both its length and mal0x)-wivl6q og c7t2d ss are increal7qxci2tl 0odv6)g w -sed?

  Simple pendulum A swings back and forth at twice the3otx3vq g l7g. frequency of simple pendulum B.3gg3x7q vlt.o Which statement is correct?

  If you take a given pendulum to the Moon,: u(m df0ym qtuthz47i eb:y91 where the acceleration of gravity is less than on Earth, them(i:79qteu yf14mhd 0:y tbuz resonant frequency of the pendulum will

  Curve A in Fig. 11-1 reprezl +mig0:zo:*gro n 0esents

  Curve B in Fig. 11-1 r7u6srio6 x3p5h0 tmx mepresents

  Curve C in Fig. 11-1 representctt3ee ng,:8th l4yv4s

  For a forced vibration, the amplitudeijsmi;+sw9 hf ,5wg ir+m87te of vibration is found to depend on the

  In a wave, the maximum displacement of points ofptfh7:ray fd (gxe:3 ,8/ kurz the wave from equilibrium is called the wa ef (ux 8d3ahpzrk7y,/fr gt::ve's

  The distance between successive crests on a wave is called the 9h n.molj) tj/n+ 7bfkcvezb*)yw 65e wave's

  The number of crests of a wave passing a point per unit tqo)ztoi0 qr+.ime is called the wave'+ irqq)z .oot0s

  For a wave, the frequenuy9;5 r duqkm/mf *:lrcy times the wavelength is the wave's

  The frequency of a wave increases. +ndekoeo* p4.i-z cj y2yaw6 ov 0f23pWhat happens to the distance between successive crests if the speed remains constan2 3donf2avcz eye4* o+p -0 okijy6wp.t?

  A wave moves on a string with wavelength l and fr):0zrsr+g eah 1dih- aequency f. A second wave on the same string has wavelength 2l and travels with the same velg0dre-)as z i+r:hh1 aocity. What is the frequency of the second wave?

  Consider a traveling wavi 1+mm:+)ayrb s7t yuge on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following ism+iyg:tm7r +s1ayb)u true?

  A string of mass m and length rj:ozn9 j)9b 7(licjb 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 ifn br9 7bij9)cl ojjz(: 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 in thli i(k*4rwem88c:s gv 53hesa x,m l-ge string is v. What will be the speed of a wave in the string if the length is increasedmg,x m3a4:ilhwkse-5 8r c8l*i egv (s 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 thq/ +uv c+z-eufe string is v. What will be the speed of a wave in t z+ufq+e v-/uche string if the tension is increased to 2T?

  In seismology, the S wave is a transverse wave. As an Sgt56p* k 4e0ztsp+vr vob7v(a wave travels through the 0 54et6svzt vp* g+aor(p7bkv Earth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wave travelj:j/t3xw*pdqad 0kp8 s through the Earth, the relative motion between d0a3j8wt xk*: pjd/ pqthe P wave and the particles is

  The intensity of a wfr46 5yj 9ku0so l0i-jcjq1noave is

  A wave pulse travelina1 aeu8 3ek- j)cx,4l5lw ixbng to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the ref-nke8c1l53 j 4bu)lxwa xai, elected and transmitted pulses?

  Two wave pulses with equal positive amplitudel+2rknw8vnw80j 4qj es 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 spakjq w8+n 0v42j8nwlre ce at the same time

  Two wave pulses pass each other on a stringkvc ij2+ck7m 3. The one traveling toward the right has a positive amplitude, while the one tv7jmc k+ik23craveling 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 3ck28/w a.s tzlfj,lmas a string fixed at both ends, occurs when

  If one doubles the tension in a violin string, the fund9+d uase eakx gt/(w48x6fg8 wamental frequency of that string will increase by a 8+sa9k4x (x d 86a/we gfteuwgfactor of

  What is the spring constant of a spring m 7zip m9c-oe*that stretches 2.00 cm when a mass of 0.600 kg is suspendeo7m-epmz i9* cd from it?

  A mass is attached tas1mso*-opn9pbx :g*l o598wb3oes p o a spring 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 takl3 o boaobx*89spe:n- mp1 ws5psog*9 es 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 spo,w/7yu p0 mru;z7 aoaring 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 oscil0ru;oway a7/ omp,z7 ulating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60 N/m along a horizont:ubdy4-sqw6 1bml3zq s6v v*pal, 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 equil s pslbw-36 4bmqu6vd1:v*qzy ibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goeqfc2b s) lu zh+t/c*3as through 10 complete oscillations in 5.c *l/z )+ub3 tsqhc2af0 s. What is the period?

  A mass vibrates back and forth k i/bj()(mfsu n:r, hg) p9cb)yebu9gfrom the 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 vibrat f(9mhgi)k nub :)9(y)g ub, /bpcrsjeing mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constanzg/dm4dz+t ub; w9f:xz d*k g8t 20 N/m along a horizontal, frictionless surface. The object osmdftg8wz;zu/gdbdxz 49* +:k cillates 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 energytkhygq1;ol n fcm jn7 qbtn3 +d2jm*;n8.4oj+ is 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 energynjfqq*myhn 3o+ 8ng;bl;k 72+oj j4.mdtnc 1t of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along a horidtur1wbe9 q5 cr0o2.zzontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the ctd 0obq zu.rwe921 r5equilibrium position. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along aeg:i )a 0ggm taf71ky+n;nw2xd .5znk horizontal, 2)g. :waf g0k z1yn m+k;7gie5tnaxndfrictionless surface. The object oscillates 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 ofzeg9uj)p*q+9 w -zptt 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 wqz-e)gp+* utzt99 jp this system?

  A 2.0-kg mass is attached to the end of a j (5hxny5crqa dm27opaj37z// sja2vhorizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude 2r janh/pjcyq/(5a7vm53 a 2js7zdxoof 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth frk8r4ktta/ufk1:64 pz lgjm u*om the free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrzm 4aruk/tf184 : 6ltkkpgj*uating mass?

  The mass of a mass-and-spring system ixcg+lbb l78chu) fi7ae 35s*ws 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 ree 3)+ *h guwxls8bl7b5c i7cfaleased?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. 9a wxbatu5wj f1p3 9;vThe object ix959 v1 w wajuaftbp3;s 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 sprw7f/ p* 5z 5ti8 stwzxh2co1w8ze6l piing constant 10 N/m. The object is displacez7*/6t1ixt8cl55 e w ih8wowpp zfzs2d 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 N/m, displaced slight hvu84zli-f /ply from its equilibrium povf-h/u8 il4zpsition, and released. What is the frequency of its vibration?

  A mass is attached to a spring. It oscillnrurnuy :a7t,f5 /8ls n1 ial(ates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity at ,n flanlrun7:8 srit(uy/15atained by the mass?

  Two masses, A and B, are a lw 3qsmike5i1d8k2 r.ttached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with ampk3wr5idm28e.l1ik sq litude 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 spring. In equilibrium the mass stretches tijio87 ;o q,ujhe spring 2.0 cm downward. To,ji7; juio8qhe mass is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium tw neq jp2*qip:3i+ pi:he 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 enq2iq in :*:+wipp3ejp ergy of the system.

  A 0.30-kg mass is suspended on a sp3z9z 0.p*f/jy 9 xxfa0gn jqd vao5k1tring. 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. Write down itstd x/vpjnxf 9q 5 0j* zfy0.1kaog93za equation of motion.

  An object in simple harmonic motion obeys the following position c )jdh+g ka-6ysknd6.versus time equa66 ygj h-d. kcdnsk+)ation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followingg7+d+0hw4;qvxdse j s position versus time equationdwx++gqs; dse0 j 7hv4:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position vers4eti di ;vc jq8rm2;a98wp, sx n:inw)us time equation:q2 :td w8n pinxs8,a m9;i)4;r cejviw
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mot1(z3 kqwfw9l/1o/o 7lies6l a 2vzrsaion according to the equatio9saok/z1 6o/ wsqf7zvli e 3( 2lawr1ln $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with acn 5vhyl 62)vw force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is reln5yh wl62)cvveased 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 swings in 8.0 -. xn s.r9y ghp0vejfiu 5:st4s. (a) What are its frequency and period on Ear 5j9:i0t .pvye4-sn .xrshufg th?

  A 3.00-kg pendulum is 28.84 m long53vfh:k(zmd hg*o;8 o ctv r7r. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is i eku n9,m kj,cgg gu8*:eqg66gts length?

  The pendulum of a grandfather clock is 1.0 m long. What is its period o,r 0 b/.4;4v1pcy aobginvon qn the Ear4aqc/bg nnov4yp0o1 ,i. br ;vth?

  The pendulum of a grandfathp*sl( b5i j bbn2d0:rper clock is 1.0 m long. What is its period on the Moon where the acceleration dbp 0*ni5 l bbr:(sjp2due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a massless stdbs:cie8 8hpuesu.3 3 tph-j-ring. When the mass is displaced slightly .s -hseb uuicjph8 p 38:et3d-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 consisting of a 2oy0rhoo,syu -7pe- s *0-g mass has initial angular displacement of 8.0e. It oscillates with a pes7*p-o h,o o0ryus ey-riod 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 f)txw:it ggr v (-qr7l(requency of the wave is l7:w) grgtt(-xq(vi r 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of ag e (0p)aef: b0guy.nf wave at a given time. The frequency of the wave is 120 Hz. What is the egy0uf 0b (ne.:ap)gf wavelength?

  Figure 11-2 is a "snapshot" 2edj 6td7y6d2 6h h4v*wapynv of a wave at a given time. The frequency of the wave is 120 Hzy jvhdeynhtpadw66* v24762 d. What is the wave speed?

  What is the frequency ofxhr ,.zyhyb+; a wave which has a period of 6.00 ms?

  What is the period of a8 bfu 3sl9ek/t wave with a frequency of 1500 Hz?

  What is the wave speed if a wave has a frequency of 12 Hl9c 5f:3jm qavz and a wavelength of 3.0 mjq9 ca: lv53mf?

  What is the velocity of a wave that has a wavelength of 3.0 m2l;modf *( j55q/ej mjeha-e31ytj oj and a frequency of 12 2e*aoh1 5e m;oe(jt3lj-5y qf jmdjj/Hz?

  What is the frequency of a 2.5 m.ht6n6v /rb uc wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050 kg/m is under a tn1.g s: xbjoo1ension of 1350 N. What is 1 gbx j:.1osonthe wave speed?

  A string of linear density 6.0 g/m is under a tension of 180psq j7b 9u m j4i:xm-nd2vdc bzh/j)08 N. What is the velocity of propagation of transverse s/hci 8d:bd4qmb unvz-j0mp7jx) j29waves along the string?

A wave whose wavelength is 0.500xoi0m4dks x clx,++t( m is traveling down a 500 m long wire whose total mass is xilxckm,os4(0+t x d+
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 transverspb5i mfsy2m y) :57cqse 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 frqy csbyp:2)57 sfi m5mequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one 1.1 ukw: so5xm/c, un xfx4fi lxu,jj.of the following frequencies can set the string into reso1xj ,x4:lux .o51 ,kjxffumc /.s iwnunant vibration?

  A stretched string is observed to have four equal segments in a stah91ma-kby f,m7vm)kw nding wave driven at a frequency ofv-,k k 1 m)mfa7yb9wmh 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequenc7.m 6)hr wbqxuy of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to cou.bmw76qxh r)ntain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. W 7jr6kg79aofwhat should its length be if its fundamental res7ko 9afgw67 rjonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densityjyk64awf npes8/7(a nwo bxh y)t2 3+x 2.00 g/m and length 0.600 m when it is subjected to tension of o t/6xf) n4k2ax 38b7 ya+w(hjpyewsn50.0 N.

A string of length 2.5 m is fixed at both ends. When the strib1fwh5z9hs )0uu; du yng vibrates at a frequency of 85 Hbuhs 50 wy1u;9 z)hdufz, 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.