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[SOLVED] Rod...and angular acceleration
A uniform rod AB, of length 2a and mass m, has a particle of mass 1
2m attached to B. The rod is
smoothly hinged at A to a fixed point and can rotate without resistance in a vertical plane. It is released
from rest with AB horizontal. Find, in terms of a and g, the angular acceleration of the rod when it
has rotated through an angle of [itex]\frac{\pi}{3}[/itex]
My idea is that the torque due to the weight and the mass is the net torque and that should be the same as [itex]I \alpha[/itex] where I=moment of inertia of the entire thing.
I got [itex]I=\frac{10ma^2}{3}[/itex] but I don't know how to incorporate that angle it is rotated through.
Homework Statement
A uniform rod AB, of length 2a and mass m, has a particle of mass 1
2m attached to B. The rod is
smoothly hinged at A to a fixed point and can rotate without resistance in a vertical plane. It is released
from rest with AB horizontal. Find, in terms of a and g, the angular acceleration of the rod when it
has rotated through an angle of [itex]\frac{\pi}{3}[/itex]
Homework Equations
The Attempt at a Solution
My idea is that the torque due to the weight and the mass is the net torque and that should be the same as [itex]I \alpha[/itex] where I=moment of inertia of the entire thing.
I got [itex]I=\frac{10ma^2}{3}[/itex] but I don't know how to incorporate that angle it is rotated through.