A 4.00-m long rod is hinged at one end. The rod is initiallyheld in the horizont

Question

A 4.00-m long rod is hinged at one end. The rod is initiallyheld in the horizontal position, and then released as the free endis allowed to fall. What is the angular acceleration as it isreleased? (The moment of inertia of a rod about one end isML2/3.) A)   2.45rad/s2 B)   3.68rad/s2 C)   4.90rad/s2 D)   6.75rad/s2 A 4.00-m long rod is hinged at one end. The rod is initiallyheld in the horizontal position, and then released as the free endis allowed to fall. What is the angular acceleration as it isreleased? (The moment of inertia of a rod about one end isML2/3.) A)   2.45rad/s2 B)   3.68rad/s2 C)   4.90rad/s2 D)   6.75rad/s2

Explanation / Answer

Torque = weight * distance of center of gravityfrom hinged end               = mg * ( L / 2 ) also we know = I                          = ( m L ^ 2 / 3 ) from above two equations , angular accleration =  [ mg * ( L / 2 )] / ( m L ^ 2 / 3 )                                                                            =( 3/2 ) g / L                                                                           = 3.675 rad / s ^ 2

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