Rod Free
July 20th, 2010
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A uniform rod of length L and mass M is free to rotate about a frictionless pivot at one end. The rod is?
released from rest in the horizontal position. What are the initial angular acceleration of the rod and the initial translational acceleration of the right end of the rod?
gp4rts....ur the shit! lol...sorry there is no other way to describe u...haha...THANK YOU
The angular acceleration is given by
T = I*a, where T = torque and I = moment of inertia
The (initial) torque due to gravity is M*g*L/2 (the center of gravity is at the middle of the rod).
The moment of inertia is M*L^2 / 3
a = T/I = M*g*L/2 / M*L^2/3
a = (3/2)*g/L
The translational acceleration is a*L = (3/2)*g
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