Question

A thin 4.0-kg wheel of radius 34 cm is a uniform disk and is weighted to one side by a 1.50-kg weight, small in size, placed 24 cm from the center of the wheel.

calculate the position of the center of mass of the weighted wheel (distance from the center of the wheel).

Answer 1

The center of mass of the weighted wheel is 9 cm from the center of the wheel.

Step-by-step explanation:

The center of mass of the weighted wheel can be calculated using the principle of moments, which states that the sum of clockwise moments is equal to the sum of anticlockwise moments.

By considering the clockwise moments caused by the weight and the anticlockwise moments caused by the wheel, we can set up an equation:

Weight × Distance from center of wheel = Mass of wheel × Distance of center of mass from center of wheel

Substituting the given values, we have: 1.50 kg × 24 cm = 4.0 kg × Distance of center of mass from center of wheel

Solving for the distance of the center of mass from the center of the wheel, we find that it is 9 cm.