Center of Mass
Physics ⇒ Mechanics
Center of Mass starts at 11 and continues till grade 12.
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See sample questions for grade 11
A uniform circular plate of radius R has a hole of radius r cut out at a distance d from the center. Describe qualitatively how the center of mass shifts.
Define the term 'center of gravity'.
Describe the difference between the center of mass and the centroid.
Explain how the center of mass concept simplifies the analysis of the motion of extended bodies.
A system consists of three particles of masses 1 kg, 2 kg, and 3 kg at positions (0,0), (0,2), and (2,0) respectively. Find the y-coordinate of the center of mass.
A system consists of three particles of masses 2 kg, 3 kg, and 5 kg at positions (1,0), (0,2), and (3,3) respectively. Find the x-coordinate of the center of mass.
A system consists of two masses, 4 kg at (0,0) and 6 kg at (0,5). Find the y-coordinate of the center of mass.
A system consists of two masses, 5 kg at (2,0) and 10 kg at (8,0). Calculate the x-coordinate of the center of mass.
If a body is thrown in the air, the path traced by its center of mass is: (1) A straight line (2) A parabola (3) A circle (4) An ellipse
If the total external force on a system is zero, the velocity of the center of mass is: (1) Zero (2) Constant (3) Increasing (4) Decreasing
The center of mass of a system of particles depends on: (1) Only the positions of the particles (2) Only the masses of the particles (3) Both the masses and positions of the particles (4) Neither masses nor positions
The center of mass of a system of particles is a ______ property. (1) Scalar (2) Vector (3) Both (4) Neither
A system consists of two particles of masses m and 2m separated by a distance d. The center of mass is located at a distance of ______ from the mass m.
A uniform plate in the shape of an equilateral triangle of side a has its center of mass at a distance of ______ from any side.
For a system of three particles with masses m₁, m₂, and m₃ located at positions x₁, x₂, and x₃ respectively, the x-coordinate of the center of mass is given by ______.
The center of mass of a uniform rod of length L lies at a distance of ______ from one end.
A uniform square plate of side 2 m has a hole of radius 0.5 m cut out from one corner. Will the center of mass remain at the geometric center?
If a body is suspended from its center of mass, will it remain in equilibrium?
If a system is subjected only to internal forces, will the center of mass accelerate?
If the center of mass of a system is at rest, can the individual particles be moving?
