Question

In: Physics

A solid cylinder, mass of 15 kg, is on a hill that is inclined at a...

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.

Expert Solution

mg is the weight of the cylinder which is split into its components

Fr is the frictional force

--------------------------

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,

-------

So

------------(1)

------------------

Frictional force =Coefficient of friction * Normal Reaction

--------------(2)

-------

From (1) and (2)

------(3)

====================

Consider the cylinder

Net Force =Mass *acceleration

Put (3) in above equation

1. ANSWER:

===============

2. The force of friction acting on the cylinder

From (1)

ANSWER:

==================

3. The minimum possible coefficient of friction

From (3)

ANSWER:

===================

genius_generous answered 1 month ago

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