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.

To what angle can he tilt the cabinet before it tips over?

Answer 1

angle = 16.1 degree

Step-by-step explanation:

given data

high = 52 inches

wide = 15 inches

solution

we know cabinet move until the CG is past vertical line of rotation point

and After CG cross line

than there weight of cabinet will be rotate

so now w eget angle by 1 corner to CG that is

angle = atan
`(52)/(15)`

angle = 73.9 degree

so now angle (x) tilt cabinet before it is tips over will be as

so as it make angle vertical that is

90 degree = x + 73.9 degree

angle (x) = 16.1 degree