05.12: A mass on the end of a spring oscillates with the dispuqjm2j)vxr p; sh-.t;z, d 1k-u5rdmelacement versus time graph rvkdr;jj.2-uzxt5;dq ph mu-m),s1e shown 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 undeq38j c5r8*s vml.od kvrgoes simple harmonic oscillation. The c vkq8 soj3d.l85v *mrgraph provided shows the position of the mass as measured from the floor as a function of time.
What is the period of the mass’s oscillation (in units of seconds)?

  10.09: A mass is connected to the end of a spring and undergoes simpzl ;p0m 7a:8 sdu0 0t3noqxawile harmonic oscillation. Th8amxl37dnaw qo:sz; 0t0 pui 0e 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 simp.ub1ts oe8 w;qqaq/lco 18lr 4le harmonic motion. The mass’s position is described as a function of time by x(t) =0.20 cos(8.00 t + 0.50) where all quantities ar1t rlo u4; 1.o 8q8caw/qbsleqe 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 cf v +/c flvibl9b ;x,nzw*m3z)onnected to a spring obeys x(t) = Acos(wt) . What is the average speed for one full oscillation in terms of the mass’s maximum i* zmb b/vwc3 ,lvl)zf9n+fx;speed during oscillation, $V_max$?

  03.37: An object on a spring undergoes Simple Harmonic 7fple -d-;: g1x 0wn+jlatm xoMotion. Its motion can be described by thefollowing egomtpw: ad1xn7l;j ex-+f 0l-quation y = (0.3 m) sin (10π t + 4) where m is in meters and t is in seconds. What is the amplitude of the vibrating mass on the spring?

  03.38: An object on a spring undergoes Si1z;u bj30erq n*rgj zw7o6 l9qmple 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 seconds. Wlgb je97r6qujq3n zw* r1z;o0 hat is the period of vibration of the mass on the spring?

  00.08: A pendulum is pulled to one side and re kqv;155owlbk;uqc 1 fleased. It swings freely to the opposite side and stops. Which of the following 1ku1lqbq5;5 ;wvfc ok might best represent graphs of kinetic energy $E_k$, potential energy $E_p$ and total energy $E_T$?

  11.18: The motion of gudw6 k,/vj;e an object moving along a straight line is given by the velocity vs. time graph show6gjw;/u ,ekdv n.
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 straig/q1u*zn f v/ rw+vmhxgt+3 qq6ht line is given by the velocit nq/3 uzvx*+qwqhr1m+fvg/6t y vs. time graph shown.
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 t69kh6u gt*uhv3 wsry ;o the graph of position as a function of time shown y*tuhkg 69wvrh 3u ;s6below.
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 hg4i 83 e -k;yhp:gm.(v1s/ry2 m(bqejgkin n gorizontal massless spring with spring constant k; is set into simple harmonic motion. Its maximum displacement from its equilibrium position is A. What is the mass’s 4.ihmnismpkbvj(:-3 g8 yggye (/n1eq;r k2gspeed as it passes through its equilibrium position?

  94.40: A block of mass M is initially at reum)kw;l /w fnma/lb564-abrb st on a frictionless floor, as shown in the accompanying figure. The block, attached to a massless sm)w/bfu 6ka-a /rb4blln5 m; wpring 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 the block. What is the maximum compression of the spring?

  01.36: A mass m is attached to a spring with ;h(fe .w b(cjza spring constant k. If the mass is set into simple hb.e;c fz( wj(harmonic motion 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 thekh,go9emh zu :.4 j:de end of a massless spring 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 equilibrme9u4gehh,kod: . : zjium with non-zero speed?