Simple Harmonic Motion: Parameters and Typical Relationship - 无忧得胜-网上国际课程 (5edu.win)

1#

05.12: A mass on the end of a spring oscillates with the dis7(d7b:v aidnzplacement versus time graph shown to the right. vddzb( ai7 n:7Which of the following statements about its motion is INCORRECT?

A. The amplitude of the oscillations is 0.08 meters.

B. The frequency of oscillations is 0.5 Hz.

C. The mass achieves a maximum in speed at t = 1.0 second.

D. The period of oscillations is 2.0 seconds.

E. The mass experiences a maximum in the size of the acceleration at t = 1.5 s.

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2#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

10.08: A mass is connected to the end of a spring 5 ma-qohtlz)xv u5cv;l)6:fj and undergoes simple harmonic oscillation. The graph provided shows the position of the mass as measured from the floor as a function of time. ;6vqx:f)uzlo5j)h mt l5 vca-
What is the period of the mass’s oscillation (in units of seconds)?

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3#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

10.09: A mass is connected to the end of a spring and undergoes simplelwjwtm5/4m ed m )2w4u harmonic oscillation. The44je w/l2w) mtmu5wdm 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)?

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4#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

14.08: A 2.50 g mass connez rba2gg rlz5mv+ k8e 63bb98gcted to the end of an ideal spring oscillates in simple harmonic motion. The mass8z+rlkgg r 9mb5b3 28z6ga bev’s position is described 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?

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5#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

15.26: The position of a mass (kyxzhxea) qog( bem(+6em). connected to a spring obeys x(t) = Acos(wt) . What is the average speed for one full oscillxzqma eeo(6gb(ye)kmhx ( +). ation in terms of the mass’s maximum speed during oscillation, $V_max$?

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6#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

03.37: An object on a spring undergoes Simple Harmonic Motion. Its moto-:ftksq 9- qcion can be described by thefollowing equation y = (0.3 m) sin (10π t + 4) where m is in meters and t is in seconds. What is the amplitude o kf-9q:cqos t-f the vibrating mass on the spring?

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7#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

03.38: An object on a springv :h gfx: b:ckk)wkg20pqi4i- undergoes 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 seconds. What is the period of vibration of the mass on)-f gvi2 :xqkw:0gp 4 :hbcikk the spring?

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8#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

00.08: A pendulum is pulled to one side anau1j k:da1/h)r9ktg ed released. It swings freely to the opposite si:ah9 udkk e1 jga/t)1rde and stops. Which of the following might best represent graphs of kinetic energy $E_k$, potential energy $E_p$ and total energy $E_T$?

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9#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

11.18: The motion of an object moving along a straigh9 qogwlih9h*9 t line is given by the velocity vs. time gra9 h9i* lq9ogwhph 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?

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10#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

11.19: The motion of an object moving alongib2arzlj.tr (yz *so1,)r8f qtr7a1 ok5s- wf a straight line is given by the veloci sfojf2st71rzakiobwrzl,1r aq-yr*5 .t8) (ty 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?

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11#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

12.17: A mass moves according to the graph odyz hbx ;c s)mi8qoho2125-lbf position as a function of time shown be1 dl);q2-b8zsyo5 xi hmbc2oh low.
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.

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12#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

94.05: Amass m; attached to a horizontal massless spring with spring consyy50f h+qbzrnhv40hsa 7 7 9vztant k; is set7 a 4zbnh0v5hv7yhz s r9+0qfy into simple harmonic motion. Its maximum displacement from its equilibrium position is A. What is the mass’s speed as it passes through its equilibrium position?

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13#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

94.40: A block of mass M is initially at rest on a frictionless f fnpksp* +6/olps;us4loor, 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 witnos4pkp lfs*s u+;6/ph mass m and velocity v is shot into the block. The arrow sticks in the block. What is the maximum compression of the spring?

A. $x= v\frac{\sqrt{m}}{k}$

B. $x= v\frac{\sqrt{k}}{m}$

C. $x= v\frac{\sqrt{M+m}}{k}$

D. $x= \frac{(M+m)v}{\sqrt{mk}}$

E. $x= \frac{mv}{\sqrt{(M+m)k}}$

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14#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

01.36: A mass m is attached to a spring with a spring c*ebj ,x+j1v bfonstant k. If the mass is set into simple harmonic motion by a displacement d from its equilibrium positibj+,*v1fbj ex on, what would be the speed,v, of the mass when it returns to equilibrium position?

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15#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

08.48: A block of mass M on a horizontal surface is connecbcno(l/dqgvk5uw95nw (k9 :d -*egrv ted to the end of a massless spring of spring constant k. The block is pulled a distance x from equilibrium and when released from rest, tl*5kqvggd5n o(9/ e: knw -9c( bdruwvhe 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?

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