The figure shows a cylinder on an incline plane of negligible friction. The cylinder is released from rest. Which of the followi
1 answer:
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Answer:
a) Angular speed(w) = 2.02rad/sec
b) 73J ( It is Inelastic Collision)
Explanation:
Given:
Mass=45kg
Length on each side = 1.5m side which is hangs vertically from a frictionless pivot at the center of its upper edge.
We need to calculate
(a) What is the angular speed and
(b) To know why the angular momentum conserved but not the linear momentum
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For Newton's second law, the force F applied to the object of mass m will cause an acceleration a of the body:
So, the acceleration is
The object undergoes through this acceleration for 10 seconds, t=10 s. Since it is an accelerated motion, we can find its final velocity after 10 seconds:
where
is the initial velocity of the object, which is zero since it starts from rest.
Finally we can calculate the final kinetic energy of the object, which is given by
So, the acceleration is
The object undergoes through this acceleration for 10 seconds, t=10 s. Since it is an accelerated motion, we can find its final velocity after 10 seconds:
where
Finally we can calculate the final kinetic energy of the object, which is given by