Lesson: Center of Mass of Particles

Mathematics

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.

Video

16:47

Sample Question Videos

04:09
04:26
02:18

Worksheet

Q1:

The figure shows three weights arranged in an equilateral triangle of side length 12 cm. Find the coordinates of the centre of gravity of the system.

Q2:

A rhombus in which such that point is located in the first quadrant of a Cartesian plane, is at the origin, and point is on the -axis. Masses of 4 g, 3 g, 6 g, and 10 g are attached at vertices , , and respectively. Find the coordinates of the centre of gravity of the system.

Q3:

The equilateral triangle in the figure has a side length of 36 cm. Point is the intersection of its medians (its centroid) and is the midpoint of . Masses of magnitudes 15 g, 27 g, 40 g, 12 g, and 50 g are fixed at the points , , , , and respectively. Determine the coordinates of the center of gravity of the system.

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