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A uniform rod  of length  and mass  is free to rotate about  point . The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about  is , the initial angular acceleration of the rod will be

a)

b)

c)

d)



Question ID - 54142 | SaraNextGen Top Answer

A uniform rod  of length  and mass  is free to rotate about  point . The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about  is , the initial angular acceleration of the rod will be

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (d) -

(d)

The moment of inertia of the uniform rod about an axis through one end and perpendicular to its length is

Where  is mass of rod and  is length.

Torque  acting on centre of gravity of rod is given by

or                      

or                      

or                            

127 votes


127