Question

A spherical ball with mass 0.2 kg and radius 0.1 meters laying on a table. It is hit by a perpendicular force on the top which makes it roll with an acceleration of 0.3 m/s

a) Find the angular acceleration    b) Find the moment of inertia c) Find the Torque(net) d) Find Fnet

e) Find the external force and the friction force using Newton’s second law for linear and rotational motion

Answer 1

a) so when a ball hit by perpendicular force on top then angular acceleration is

So a =0.3 m/s^2

R =0.1 m

So we get,

2) so moment of inertia of solid ball is

m =0.2 kg

So we get,

3) so net torque is

4) so net force

5) So external force is

F = m a = 0.2 × 0.3 = 0.06 N

friction force so that now ball can roll without slip.