Lesson: Center of Mass
In this lesson, we will learn how to calculate the location of the center of mass of a system of objects with various masses and positions relative to each other.
Sample Question Videos
Worksheet: 12 Questions • 1 Video
Two particles of masses 2.0 kg and 4.0 kg move in uniform circles with radii of 5.0 cm and cm respectively. The -coordinate of the particle moving in the 5.0 cm radius circle is given by and the -coordinate is given by . The -coordinate of the centre of mass of the particles is given by and the -coordinate of the centre of mass of the particles is given by . Find .
A cubic volume of side length = 1.0 m is cut out of a solid cube of side length = 3.0 m, as shown in the diagram. What are the - and -coordinates of the center of mass of the cube? Assume that the solid cube is of uniform density.
A system comprised of a sphere and a cylinder can be arranged in different ways, as shown in the diagram. The cylinder has a length cm and a radius cm. The sphere has a radius cm. The cylinder and the sphere have the same density. In arrangement , the axis of the cylinder along its length passes through the centre of the sphere. In arrangement , the axis of the cylinder along the vertically directed radius of its circular face, horizontally half-way along the cylinder’s length, passes through the centre of the sphere.