Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

In this lesson, we will learn how to find the position of the center of gravity (or center of mass) of a set of particles arranged in a two-dimensional plane.

Q1:

The figure shows a system of point masses. The mass placed at each point is detailed in the table. Determine the coordinates of the center of mass of the system.

Q2:

The points ( 0 , 6 ) , ( 0 , 9 ) , and ( 0 , 4 ) on the π¦ -axis are occupied by three solids of masses 9 kg, 6 kg, and π kg respectively. Determine the value of π given the centre of mass of the system is at the point ( 0 , 7 ) .

Q3:

A square π΄ π΅ πΆ π· of side length 3 cm. Four masses of 2, 6, 3, and 2 grams are placed at π΄ , π΅ , πΆ , and π· respectively. Another mass of 8 g is placed at the midpoint of π΄ π΅ . Determine the coordinates of the center of mass of the system.

Donβt have an account? Sign Up