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postfan
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Homework Statement
A uniform square plate ABCD has mass 0.8 kg and side length .8 m. The square is pivoted at vertex D and initially held at rest so that sides AB and CD are horizontal (see the diagram). After it is released, the plate swings downward, rotating about the pivot point. Resistive force can be neglected. The acceleration due to gravity is g = 9.8 m/s2. The rotational inertia of a square plate of side d relative to the axis perpendicular to the plate and passing through the center of mass is md^2/6.
Find the rotational inertia of the plate relative to the axis of rotation.
Find the angular speed of the plate at the moment when BD is horizontal.
Find the linear speed of B at the moment when BD is horizontal.
Find the linear speed of B at the moment when B is at the bottom position.
Homework Equations
The Attempt at a Solution
I used the parallel axis theorem to find the moment of inertia around the axis of rotation. I got
1/6(.8)(1.2)^2+.8(sqrt(2)/2)^2=.592 but that isn't correct.
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