Question #95749

A 10kg cylinder of radius 8 cm is rotating in a symmetric

V - channel with angular velocity 3.14 rads

-1

. Write the free

body diagram and calculate the torque required to keep it

rotating with the same angular velocity?

Given: The co-efficient of friction between the cylinder and

the surface = 0.3.

V - channel with angular velocity 3.14 rads

-1

. Write the free

body diagram and calculate the torque required to keep it

rotating with the same angular velocity?

Given: The co-efficient of friction between the cylinder and

the surface = 0.3.

Expert's answer

The torque is given by formula

where I is the moment of inertia, ε is angular acceleration

In our case, the moment of inertia is equal to

The angular acceleration is given by formula

Cylinder moves only under friction, and we can write according to the Second Law of Newton

Using (4) we get

We put (5) in (3)

We put (2) and (6) in (1)

Using (7) we get: M=24

Answer

24

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