In this lesson, we will learn how to find the position of the center of gravity of a set of particles arranged in a two-dimensional plane.
Students will be able to
Q1:
In the given figure, three weights of magnitudes 2 N, 5 N and 3 N are placed on the vertices of an equilateral triangle of side length 8 cm.
Find the center of gravity of the system.
Q2:
Three particles are placed on a line. Particle 𝐴 of mass 4 kg is located at the origin, particle 𝐵 of mass 6 kg at (9,6), and particle 𝐶 of mass 10 kg at (6,4). Determine the coordinates of the center of mass of the three particles.
Q3:
Four particles of masses 9 kg, 10 kg, 4 kg, and 7 kg are placed on the 𝑥-axis at the points (4,0), (3,0), (8,0), and (1,0) respectively. What is the position of the center of mass of the four particles?
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