Question

A standard four-drawer filing cabinet is 52 inches high and 15 inches wide. If it is evenly loaded, the center of gravity is at the center of the cabinet. A worker is tilting a filing cabinet to the side to clean under it.

Part A
To what angle can he tilt the cabinet before it tips over?
Express your answer using two significant figures.

Answer 1

x=16.10°

Step-by-step explanation:

You can go through a bunch of equations, but basically the cabinet can be moved until the CG is past the vertical line of the rotation point. After the CG crosses the line the weight of the cabinet will keep the rotation going in the direction.

to Find the angle from one corner to the CG

angle =atan(52/15) = 73.90

So, to make that angle vertical...

90° = x + 73.90°

x=16.10°