V. A simple experimental set up is shown in the following figure. Masses of blocks MA, and MB are 50.0 kg and 20.0 kg respectively. Neglect the mass of rope and pulley. The friction force between the pulley and the rope is very small. a) What is the minimum coefficient of static friction between the blacks and the table to keep MA and Mn stay at rest? What is the tension in the rope in this case? b) Suppose the table surface is replaced with different material and the experiment is repeated. Under this new condition, what is the system's acceleration? What is the tension in the rope now? (coefficient of kinetic friction u, between the block and the table is 0.200) (Extra) c) If we take pulley's mass as well as the friction between the rope and pulley into consideration, what are the changes in setting up the Newton's second law to solve for the system's acceleration?
V. A simple experimental set up is shown in the following figure. Masses of blocks MA, and MB are 50.0 kg and 20.0 kg respectively. Neglect the mass of rope and pulley. The friction force between the pulley and the rope is very small. a) What is the minimum coefficient of static friction between the blacks and the table to keep MA and Mn stay at rest? What is the tension in the rope in this case? b) Suppose the table surface is replaced with different material and the experiment is repeated. Under this new condition, what is the system's acceleration? What is the tension in the rope now? (coefficient of kinetic friction u, between the block and the table is 0.200) (Extra) c) If we take pulley's mass as well as the friction between the rope and pulley into consideration, what are the changes in setting up the Newton's second law to solve for the system's acceleration?
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V. A simple experimental set up is shown in the following figure. Masses of blocks MA, and Mp are
50.0 kg and 20.0 kg respectively. Neglect the mass of rope and pulley. The friction force between
the pulley and the rope is very small.
a) What is the minimum coefficient of static friction between the blacks and the table to keep MA
and Ma stay at rest? What is the tension in the rope in this case?
b) Suppose the table surface is replaced with different material and the experiment is repeated. Under
this new condition, what is the system's acceleration? What is the tension in the rope now? (coefficient
of kinetic friction u, between the block and the table is 0.200)
(Extra) c) If we take pulley's mass as well as the friction between the rope and pulley into consideration,
what are the changes in setting up the Newton's second law to solve for the system's acceleration?
MA
MB
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IV. A uniform solid ball with mass M and radius R rolls alone a horizontal surface with a constant speed
v. (center of mass) before reaching a 30° ramp. The ball then rolls up to the ramp. Suppose the ball
rolls smoothly without slipping. Find out the maximum distance on the ramp the ball can go (Hint:
use principal of conservation of mechanical energy). The moment of inertia of a solid ball
is I, =
MR
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