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.

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

Angle, he tilt the cabinet before it tips over is 16.09 degrees

Explanation:

Center of gravity:

It is a point around which body is free to rotate in all direction.'

For Angle calculations:

where:

H is the perpendicular/height

W is the base/width

In our Case:

H=52 inches

W=15 inches

This is angle at the corner

Total angle is: (Figure is attached)

Angle, he tilt the cabinet before it tips over is 16.09 degrees

Explanation:

Normally, the angle from one corner to the center of gravity is expressed as

where P and B are perpendicular and base point of the cabinet.

Using the free body diagram attached then

The angle made by the vertical line will be hence