The time for one cycle of :v8-mz,fbnk q*g pe2 oa periodic process is called the

  For a periodic process, the number of cycles per uniz:e+ xloq3d)ja 7( enqt time is called the

  For vibrational motion, the maximum displacl *uq1vf7ajyl fv73,v ement from the equilibrium point is called v3y 7 ua v*f,fqlv7j1lthe

  A mass on a spring undergoes SHM. bm /7pr rrkk1)* md9mrpx0.x uWhen the mass is at its maximum displacement from equilp.d kx7) k pmrmm 0xrr1b/ru9*ibrium, its instantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the eqy )6hkj r8p6o( z8zw4i2mdh aquilibrium position, its ins a2y(mhz68rz4p86okw ji)q hdtantaneous velocity

  A mass on a spring undergoes SHM. When the mass is at maximum ecxv v9je:; +ydisplacement from equj:+v ; 9evxecyilibrium, its instantaneous acceleration

  A mass is attached to a vertical spring and bobs sa50r4)j ,xb*fszlu -i gvojv5.0t wpup and down between points A and B. Where is the mass located when its kinetic eb j*jgl ,a )-t5 4vxwzsip0fro. 0vsu5nergy is a minimum?

  A mass is attached to a vertical spring 91be/cq4jxgg and bobs up and down between points A and B. Where is the mass located wgxcebj 49/g q1hen its kinetic energy is a maximum?

  A mass is attached to6o y, ci*sz2 8emhld/p a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energlpzeo,/ isd8hc6 *y2my is a minimum?

  A mass is attached to a vem(5., gh m pk1)e,attk7q v .dj+jtbnzrtical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a maxig.p(.m+1 ,kkejqbt)jm za7n5,vtht dmum?

  Doubling only the amplitud kj q4o;o0zxqr/9lw1 o2 h 33kek-g y/tn:mjome of a vibrating mass-and-spring system produces what effect on the system's0 /neyl k1 qg qkmj/tjwmh9r4:oo-oz 3o2xk;3 mechanical energy?

  Doubling only the mass of a vibrating mass-ax /0fm78ojzerlx. ka 3nd-spring system produces what effect on the system's mecm0a. x/xr8jl 7fz koe3hanical energy?

  Doubling only the spring cons1s5*jzs ptr j k50l) kmlgb;ib;w5 a5btant of a vibrating mass-and-spring system produces what effect on the system's mechanical egk1l;r is05ab 5p5bzwj;s* k lm 5)bjtnergy?

  A mass oscillates on the end of 4tof ly4r 5b0ta spring, both on Earth and on the Moon. Where is the period the gr4rly0 5 fttbo4eatest?

  Increasing the spring constant k of a mass-and-spring system causes wha g m;hz -/-nk9px:jwmgt kind of change in the resonant frequency of the system? (Assume no change in the-jkz:mp m-n9 ;h/xwgg system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of cpd;(t d (sv8k1p zzlm5hange in the resonant frequency of the system? (Assume no change in the system's sp( ;kpd1ml dzt sv(5zp8ring constant k.)

  Increasing the amplitude of a mass-and-roj8 e4arxc3)spring system causes what kind of change in the resonant frequency of the system? (Assum j8aex)4r 3roce 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 attache8 jz8/up -4g9pqktxy0nhn / hud to a weightless string of length4j8u gnq/uyth9/ zphnx-80k p L. For this system, when undergoing small oscillations

  When the mass of a simple pendulum is tripled,qdrd4q2 egr0i 5ml9m5 the time required for one complete vibra dl24 gmrmeqr5di5 90qtion

  Both pendulum A and B av047dva ch j1()rndyzre 3.0 m long. The period of A is T. Pendulum A is twice a ndr)0ahv(47 cjvd z1ys heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tripled, the time for one compl1 q wphlfblgn jlk8 g2a+qc)/s62*;w5eq a fq7ete vibrathpec/abnkl 27lfq+6 q 1*5g;g)2qqafj wsw8 lion increases by a factor of

  What happens to a simple pendulum's frequency if both its length and mass are inh lci2w xov:;/x;2o/:chwl iv creased?

  Simple pendulum A swings back and forth at twice the frequency of simpsayia8.-1 dx7(hc*sqwt8 -yj f:xv jfle pendulum B. Which statement is correct? ijxv8(ay:fc.d shsx- w 71j*fa8yq-t

  If you take a given pendulum to the Moon, c0aknj :va t/:(,oxyf where the acceleration of gravity is less than on Ear:(0ctkvxy a:o njaf,/th, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 represents z9d +jctvvtot n o(wy88w- 5s*

  Curve B in Fig. 11-1 repre.zg8bske2i i. sents

  Curve C in Fig. 11-1 reprezpavkmk :((q/ sents

  For a forced vibration, the amplitude of vibration is foun2u6 di oinsb00d to depend on the

  In a wave, the maximum displacement of points of thgzx)a4 c stcrv3ld(9f/sa *2re wave from equilibrium is called the wave'49vt*g l 3)f/ cszcar(2 ardsxs

  The distance between successive crests on a +c wy3 /hiamkc/17 vnawave is called the wave's

  The number of crests ooqah 6c7qs,x:b,i8ro f a wave passing a point per unit time is called the wave'qhoq6c i7b 8xro,sa:,s

  For a wave, the frequency times tev-4-xdtx-xd( kmpw 2he wavelength is the wave's

  The frequency of a wave qc3vf.5j 2x u og4bm6zincreases. What happens to the distance between successive cres.v2 x6o43 ugqzfm5 bcjts if the speed remains constant?

  A wave moves on a string with wavelength l and frmf0gpu:+,gp:fu *utunwr4sz ,su )j0 equency f. A second wave on the same string has wavelength 2l and travels with the same velocity. What is the mjn:)u,fs 0+ gfuu p0 4*wsptu rgu:z,frequency of the second wave?

  Consider a traveling wave on a string of length L, mass M, and tensionb ub mwl59s4n7 T. A standing wave is set up. Whw4ubsbln75 9 mich of the following is true?

  A string of mass m and length L is under tension T. Th7ps7vhd(h0 u fv4 z5ype speed of a wave in the string is v. What will be the speed of h7 f4p5uz0pdsh y7vv( 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 tensb rz/9hb;c1 qbion T. The speed of a wave in the string is v. What will be the speed of a wave in the stringc1z9r ;bbhb/q if the length is increased to 2L, with no change in mass?

  A string of mass m and length L isxkz4i14 jcd2 aa-, udm:5lec e under tension T. The speed of a wave in the ,j-ic1d 5 2cd:euk4al4axmez string 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.3 )ierk :ep qynn4j3z) As an S wave travels through the Ear 43eejkn )i:)3npzyqrth, the relative motion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. Aivqnl7r m 3i 53n:y7; sosgle8s a P wave travels through the Ear8lgn5s 73osn7:v 3e ;q miriylth, the relative motion between the P wave and the particles is

  The intensity of a wdrohy.5le. - gave is

  A wave pulse traveling to the right xpso56,i.pks.y3 hgndb r hr4)l /zufd( sp:*along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of theo sk6dbp 5xsysdh3i* u :f/ghl n,z4(r.r)p.p reflected and transmitted pulses?

  Two wave pulses with equal;mbhod0gxh*+y0t/k qx/ x0 j v positive amplitudes 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 o /xd/mxgkvh;bh* x 0jyq0t +o0f space at the same time

  Two wave pulses pass each otherhu)l0kl3 kdy8g f,y,psi;3l o on a string. The one traveling toward the right has a poosy y308l hil)kk,ug,3l f; pdsitive amplitude, while the one 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 1hwfl* m;v k3nboth ends, occurs when

  If one doubles the tension in a violin string, the fundamental q. ql/,sckh n7frequency of that string will incre7/c.shnkqq ,l ase by a factor of

  What is the spring constant of a55t 2(uj ;93zocj whw ;rknndb spring that stretches 2.00 cm when a mass of 0.600 kg jr tchduon5w(2zwkj 3b5 n9;;is suspended from it?

  A mass is attached to a sp 0 o1nve,yt:x vz,u.:lk ;hwpfring 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 ma:vp u.vew,xf ,kztn;h ylo:10 ss 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 along a horizontal1c)a5(gciy -mhj 1bol8uxwa) , frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let ba hw(1j cxgca lo)yiu-51 )m8go. 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 :5t- zs6* ;rdu:sn hi5yimh(z kc (ekoof 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 itsyz6n;tm( ( i: s:-kh5k dceou5ish zr* equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It go xfcjw tkf /l+fn 7u+q:k7nd;0es through 10 complete oscillations in 5.0 s. What is the per+;duwl tkkcf n+ jx/77 f:qf0niod?

  A mass vibrates back and forth from the free end of an ideal spring of spring cj;/ gxya pdyjh8 lw0b m2:b+p*onstant 20 N/m with an amplitude of 0.30 ma;l j:g2j8hpywy0x *pbdbm / +. 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 3/p: e 6uo9wyfky 5bvxto a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscilla 5 :yxp6vfeybow k/3u9tes 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 energy is 8.0 J at this time.p (cl cvgw(--v The mass is cut in half, and the system is again set in motion with amp-vw p((cvcl-g litude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constanthr1c8,l sa(hql9hr )b/3d hcf 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 of vibrationrhh1) 8slh, h crc(3aqfl 9db/?

  A 0.50-kg mass is attached to a spring of spring consta/qz m +4v 7 3qw1zh-8gzuhjhtpnt 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. At what wzh7+8g3pq/zt4 u1hhzv m- jqlocation 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 constanz( ju8ua (x2xlt 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanux au((8jl2x zical energy of this system?

  A 2.0-kg mass is attached to the end of a horizontal spring of homv+7j; fh3o spring constant 50 N/m and set into si;fjoo7v3h+ hmmple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates backch+eb,4lzr )ir1 dzvjrgov3x c:;h-0 and forth from the free end of an ideal spring of spring constant 20.0 N/m wit3crb; e x,vdzc:1il)hj4+-g rzvroh0 h an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating mass?

  The mass of a mass-and-spring system )q elvs k ykg0xu)2+0kis displaced 10 cm from its equilibrium position and released. A fre2xvskeqg0 )yl0 + u)kkquency 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 con1pgk6y b ;jdb( j-h/bnstant 10 N/m. The object is displacedb gj6-/;1 yh j(bdbknp by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached tol- xrx+76.q(xwa0w tq.i dyem2jeo (k a spring of spring constant 10 N/m. The object is displaced by e .ek2wmqd7 x0j6y ilatr.x -(o(+qwx
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung from a3d0ysjx5q* af6 pea :t spring of spring constant 18 N/m, displaced slightly from its equilibrium position, and released. What is the frequency of its vibrataaqf3jxp *06:ye sdt5ion?

  A mass is attached to a sprinnfy5jiha) yd)t+5h ;yg. It oscillates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What 5 +)h ydt5)hayify;jnis the maximum velocity attained by the mass?

  Two masses, A and B, are attached to different springs. Mass A vibrates with a (yo,, ;bs 2qblyot;fzmplitude 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 does the maximum speed of A compare to the maximum speed ofs2b ooy ,qy,zlfbt;;( B?

  A 0.30-kg mass is suspended on f p:hvne8 kk9))f3iqja spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an addikv:nfi) k)e8f q3ph 9jtional 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 equi- zk p:ubge prnk-e9rlo ,g*ai93tg 4i-f+(qilibrium the mass stretches the spring 2.0i+o:kiag gtq * g-i4p-rk(9 el9p 3- ur,nzfbe 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 system.

  A 0.30-kg mass is suspended on a spring. In equilibriux bzw9 cq3.h8ab0mtu 1m the mass stretches the spring 2.0 cm dobz9a 0c38tbh. wu 1mqxwnward. 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 following position versus time equ6g /sknm1p qo*s ru-x9ation:kusnsp91g -mxoq6*/ r
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeysff1h-)bt7mlxj-0 fvu n ;e7 dp the following position versus time equation: pvfn ;7fme-fb01uhltdj7)-x
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motib q2nul 4ha0y6e+q1q ion obeys the following position versus time equatioybql1uhi6en+ 42 qa 0qn:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic motir ep9b fgdi2-yd(1:2s4mq adjon according to the equaf2meq(pr 9yj4id :abdg -1d2stion $y = 0.50 \; \sin (18\pi \times t)$ 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 constam8wg eop8zb 7c sqna8j)z/6: ont of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at 7oj osqa eg 88b8c6n/wmpz:z )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 s. (a) What are its frequency and p m (all4uwtl7fr1ih;,eriod on Ea7l,l aiw h;ufm(1 lr4trth?

  A 3.00-kg pendulum is 28.84 m long. What is its period on Ear:gpzr2wg6i/q/ f d,l jd6qvl ,th?

  A pendulum has a period of 2.0 s on Earth. What ir pkvxvb /;r55ws z f g2/cfa+s+-i+rms its length?

  The pendulum of a grandfymjp;8,nj71zzmgbvy b+ * 7c00jnet pa: 4 wdcather clock is 1.0 m long. What is its period on the Earth 7cv z;jbe0w1,nzd 0y7m+nbt *cgjpay: mjp84?

  The pendulum of a grandfather cl+rg ghd;aomq9o 5mu-+ ock is 1.0 m long. What is its period on the Moon g+ omuog9dr ; 5ahmq-+where the acceleration due to gravity is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg sphericab1s/li 84uxl s4hj8l0e0nw wnl 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 frequency4 l 080wl4eu8j/bwins1lxhsn 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 20-g mass has initial angular disp .l8 y6f)wfkq hj9lzh,lacement of 8.0e. It oscillq 6lfzwj) 8hk9yhlf.,ates 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 tnric:5yio: y :he wave is:ircoy::n 5yi 120 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The nwzxm5j5g0c 5)8 r4kaxgqs.zfrequency of the wave is 124 z).j8k5x5q z nc5wmg0gxars0 Hz. What is the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wl,4r6(qd :q an*paeq xave is 120 Hz.a ela :(pr6q,d nxq*q4 What is the wave speed?

  What is the frequency of a wave which has a period ui dg7job:k.5 of 6.00 ms?

  What is the period of a wave with a frequency of 1500 Hz; -g hgw7l9k,0v tg4skmar:ue ?

  What is the wave speed if a wave has a frequency om 3e s6y/xuds;f 12 Hz and a wavelength of 3.0 e/ x; 36ssmduym?

  What is the velocity of a wave that has a waveleigtum mr)0r4.emv )hxo9g28jngth of 3.0 m and a frequency of 12 H940h)rm vxgjuem2m) gr8i .to z?

  What is the frequency of a 2.5 m wave traveling a udird,n)k3o- z(*+b cjqu0ck t 1400 m/s?

  A piano string of linear mass density 0* +)rb tw:tsimb zxg:4ea7x)u.0050 kg/m is under a tension of 1350 N. What is the wave s*r+)b4 )etma twgix:bz: u7sxpeed?

  A string of linear density 6.0 g/m is under a tension of 1807jcg9j 4mb1pw afice ,2s,+xuhoa- h 0 N. What is the velocity of propagation of transverse waves alcj x7fb9co 1a,uip h sm+-4 ghe2,0jwaong the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m long frieb* (yn74n wire whose totalyn4(inb7 erf * 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 transveuh6ubt 37ae(tz9zv7qrse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one o3v azeubutzh( t 7q679f the following is not a resonant frequency of this string?

  If a guitar string has 4 tt3,x6dz/lo7(2r fwn,wizk h r(teea fundamental frequency of 500 Hz, which one of the following frequencies can set the string int hw(lk 4ierdxf( e,r/ 2zz3to ntt7,w6o resonant vibration?

  A stretched string is wht kv+z ya0 6*zlhm.6vjd 9u8observed to have four equal segments in a standing wave driven at a frequency of 480 Hz. What driving frequency will set uwtmkhj yaz .vv0u6 +8h9*dl 6zp a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 12 Hz ly/i0 (nm1:md opg*vau lj.v-with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern ismv*d1y .ovj lm0: (l/apgi- un to contain 4 loops?

  A string of linear density 1.5si- 9ye9tvup xpgart8-1.c -hl(gpa ( g/m is under a tension of 20 N. What should its length be if its fundament-sa9pp aic1p r.v ((98euh g-lytxg-tal resonance frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass densi dq) wf6/;duequc+9. a fzx;ffty 2.00 g/m and length 0.600 m when it is subjected to tensx. /affw ;ufzf 9uq)6 qd+ced;ion of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vo j(ekza++s)y we 4/ .zqnu3bmibrates at a frew .(skqjm+o4ba+ze )zuen/3 yquency 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.