A heavy swing door has a mass of m = 7,000 kg, a width w = 1.1 m, and a height H

Question

A heavy swing door has a mass of m = 7,000 kg,a width w = 1.1 m,and a height H = 2.8 m.The door swings about a vertical axis passing through its center. The moment of inertia of this door about the vertical axis of rotation is given by

A heavy swing door has a mass of m = 7,000 kg,a width w = 1.1 m,and a height H = 2.8 m.The door swings about a vertical axis passing through its center. The moment of inertia of this door about the vertical axis of rotation is given by What is the angular acceleration of the door? Now consider a heavy door, with the same mass and dimensions as the one in part (a), that swings about a vertical axis passing through one long edge as shown in the diagram below. The moment of inertia of the door about this new axis of rotation is given by I = 1/3 mw2, where m is the mass and w is the width of the door. What is the angular acceleration of the door?

Explanation / Answer

a) I = 1/12*7000*1.1^2 = 705.8333 Kg-m^2

b) I = 1/3*7000*1.1^2 = 2823.3333 kg-m^2

? = F*r

? = ?/I

as F is not given we can not find angular acceleration....

but formulae are provided...

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