Last Updated On 16-03-2023 - By Jeesha Sara
A uniform circular disc of radius 
is placed on a rough horizontal surface and given a linear velocity 
and angular velocity 
as shown. The disc comes to rest moving some distance to the right. It follows that
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a) |
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b) |
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c) |
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d) |
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Question ID - 100186 :- A uniform circular disc of radius is placed on a rough horizontal surface and given a linear velocity and angular velocity as shown. The disc comes to rest moving some distance to the right. It follows that
a)
b)
c)
d)
A uniform circular disc of radius is placed on a rough horizontal surface and given a linear velocity and angular velocity as shown. The disc comes to rest moving some distance to the right. It follows that
|
a) |
|
b) |
|
c) |
|
d) |
|
|
(b) Since the disc comes to rest, it stops rotating and translating simultaneously
|
and 
. That means, the angular momentum about the instantaneous point of contact just after the time of stopping is zero. We know that the angular momentum of the disc about 
remains contant because frictional force 
and 
pass through point 
and thus produce no torque about this point
Next Question :
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A man stands at one end of a boat which is stationary in water. Neglect water resistance. The man now moves to the other end of the boat and again becomes stationary. The centre of mass of the ‘man plus boat’ system will remain stationary with respect to water |
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a) |
only when the man is stationary initially and finally |
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b) |
only if the man moves without acceleration on the boat |
|
c) |
only if the man and the boat have equal masses |
|
d) |
in all cases |
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