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# Finding the moment of inertia

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A sheet of plywood 1.37 cm thick is used to make a cabinet door 50.9 cm wide by 76.9 cm tall, with hinges mounted on the vertical edge. A small 191-g handle is mounted 45 cm from the lower hinge at the same height as that hinge. If the density of the plywood is 550 kg/m^3, what is the moment of inertia of the door about the hinges? Neglect the contribution of hinge components to the moment of inertia.

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#### Solution Preview

Message: Rotational Motion - Moment of Inertia

A sheet of plywood 1.37 cm thick is used to make a cabinet door 50.9 cm wide by 76.9 cm tall, with hinges mounted on the vertical edge. A small 191-g handle is mounted 45 cm from the lower hinge at the same height as that hinge. If the density of the plywood is ...

#### Solution Summary

I have provided a detailed solution to finding the moment of inertia of a door hinged at one end. I have provided two methods to solve the problem. The first method uses calculus techniques and derives the answer from first principles. The second method uses an intuitive method to arrive at the same answer. The solution includes a diagram. Thanks for downloading and using Brainmass.

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