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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.
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