A thin m = 2.00 kg box rests on a M = 6.50 kg board that hangs over the end of a table, as shown in the figure. How far can the center of the box be from the end of the table before the board begins to tilt?

Answer:- 0.163 m far can the center of the box from the finish of the table before the board commences to tilt

The exclusive location where the weighted comparative position of the scattered mass adds to zero is identified as the center of mass in physics. Here is where a force may be applied to yield a linear acceleration without also constructing an angular acceleration.

This characterizes the system’s average location as biased by each component’s mass. The center of mass for straightforward stiff objects with homogeneous density is found at the centroid.

The position of the center of mass of the system will be =25 cm

The below-attached figure shows the position of the center of mass of the system.

The value of the net torque about point P will be

m g x-M g (25 cm-20 cm) =0

m g x-M g (5 cm) =0

m g x =M g (5 cm)

x = (5 cm/m)

=0.163 m