In: Physics
A solid cylinder, mass of 15 kg, is on a hill that is inclined at a 45 degree angle. If it rolls down the hill without slipping find:
1. The acceleration of the cylinder
2. The force of friction acting on the cylinder
3. The minimum possible coefficient of friction
Explain.
mg is the weight of the cylinder which is split into its components
Fr is the frictional force
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Consider the sold cylinder
Rolling of cylinder is caused due to frictional force
Net Torque =Moment of Inertia * angular accleration
,where moment of inertia of sold cylinder, ,
angular acceleration, and
Torque,
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So
------------(1)
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Frictional force =Coefficient of friction * Normal Reaction
--------------(2)
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From (1) and (2)
------(3)
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Consider the cylinder
Net Force =Mass *acceleration
Put (3) in above equation
1. ANSWER:
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2. The force of friction acting on the cylinder
From (1)
ANSWER:
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3. The minimum possible coefficient of friction
From (3)
ANSWER:
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