05.12: A mass on the end of a spring oscillates with the displace3y:wq)o *3cjg-otis*r z kk1x/ 2wwx z q7,uziment versus time graph s1woxz2q xi 7 zwkr qi*z:yk s *u3jtw/-go,3c)hown to the right. Which of the following statements about its motion is INCORRECT?

  10.08: A mass is connected to the end of a spring and 1 k6* +jwmwrm/or5f km7x/en w25cwdkundergoes simple harmonic oscillation. The graph provided shows the position of the mass as measured from the floor as a functiofoedr+kk cx 762w5rm mwk*/ w51 mnw/jn of time.
What is the period of the mass’s oscillation (in units of seconds)?

  10.09: A mass is connectn7 min8w agb*,ed to the end of a spring and undergoes simple harmonic oscillation. The w7g bn8i*n am,graph provided shows the position of the mass as measured from the floor as a function of time.
What is the amplitude of the mass’s oscillation (in units of meters)?

  14.08: A 2.50 g mass connected to the end of an ideal spring oscillates in sim7f 2endhu3c,*bh.y 6u4xdmqb*kkwb 7ple harmonic motion. The mass’s position is describbx23k7kw bdq64uhn*.,ycm*h b 7e dufed as a function of time by x(t) =0.20 cos(8.00 t + 0.50) where all quantities are in base SI units. Which one of the following choices gives the numerical value of the oscillation’s amplitude in base SI units?

  15.26: The position of a mass connected to a spring obebglb,y+wh4 bee vnp43 wh)q/4 ys x(t) = Acos(wt) . What is the average speed for one full oscill+q4 b/ w, 4vbhb34)yehgeplnw ation in terms of the mass’s maximum speed during oscillation, $V_max$?

  03.37: An object on a spring underg.h2vnq d)/bg soes Simple Harmonic Motion. Its motion can be described by thefollowing equation y = (0.3 m) sin (10π t + 4) where m is in meters and t is in ss vgb)hdn/ q.2econds. What is the amplitude of the vibrating mass on the spring?

  03.38: An object on a spring ukkd/8y)ed wdm+( 2mq yndergoes Simple Harmonic Motion. Its motion can be described by thefollowing equation y = (0.3 m) sin (10π t + 4) where m is in meters and t i+ymw (q8 k2)dydke md/s in seconds. What is the period of vibration of the mass on the spring?

  00.08: A pendulum is pulled to one side and released. It si h3u1ws.k k( v0y(iouwings freely to the opposite side and stops. Which of the following might best represent graphs of kinetic ener(s0vk w1u koiiu 3y(h.gy $E_k$, potential energy $E_p$ and total energy $E_T$?

  11.18: The motion of an object moving along a straight line is given by the vunl22ny+qn gj vb;bc-9jg69o8j6m:o+jvrl s elocity8l9c:gj b +6m qnn2osul- j6jb r9 ny2+gvoj;v vs. time graph shown.
Which one of the following choices best represents the average acceleration of the object during the time interval from t=4.0 sto t=9.0 s?

  11.19: The motion of an object moving along a stra6tsq 3 5z8.m ug n.qp((u 2xst8ztyevaight line is given by the velocity vs. time graph a p u5 zu qy q(e(3tzg6.n8xvsst.m2t8shown.
Which one of the following choices best represents the instantaneous acceleration of the object at the time of t=5.0s?

  12.17: A mass moves according to the graph of position as a fu5;qv 0q8ata;mr o)skss*t8 f vnction of time shownor5*sa v0;kamqt ; vs)q s88tf below.
Which one of the following choices correctly represents the time instants or time interval for which the instantaneous velocity of the mass is considered always to be negative? Lettrepresent time.

  94.05: Amass m; attached to a horizontamjr jbbt8e;si9 g08d 1l massless spring with spring constant k; is set into simple harmonic motion. Its maximum displacement from its equilibrium position is A. What is tje tj gb;80sm 9d1rib8he mass’s speed as it passes through its equilibrium position?

  94.40: A block of mass M is initially 2mzeel4 8nm(1:dl)iyn1r vp2z v czc/ at rest on a frictionless floor, as shown in the accompanying figure. The block, attached to a massless spring with spring constant k, is initially at its equilibrium position. An arrow with mass m and velocity v is shot into the block. The arrow sticks in y/m(c e:z i)zlec1 ln1pmvdr248 z2nvthe block. What is the maximum compression of the spring?

  01.36: A mass m is attached to a spring withoihr2k-;zi , * (fqt)bfft/cq a spring constant k. If the mass is set into simple harmonic motio/fr bzf c (k,qf-i t)2;h*tqion by a displacement d from its equilibrium position, what would be the speed,v, of the mass when it returns to equilibrium position?

  08.48: A block of mass M on a horizontal surface is connected to the end wem f. c r0k vdrdg,e8 u0d(ohli;u(.9 of a massless sprmc(fkudrr u,8e l0ved;d g.ow 0. h9i(ing of spring constant k. The block is pulled a distance x from equilibrium and when released from rest, the block moves toward equilibrium. What minimum coefficient of kinetic friction between the surface and the block would prevent the block from returning to equilibrium with non-zero speed?