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 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.
A system consists of two particles of masses 2 kg and 3 kg located at (0,0) m and (4,0) m respectively. Find the x-coordinate of the center of mass.
A system consists of two particles, each of mass m, located at (0,0) and (2,0). Where is the center of mass?
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.
A uniform disc of mass 2 kg and radius 0.5 m has its center at the origin. What is the position of its center of mass?
A uniform L-shaped object is made by joining two rods of equal length L at right angles. Where is its center of mass located relative to the corner?
A uniform plate in the shape of a rectangle has sides of length a and b. Where is its center of mass?
A uniform rod of length 2 m has a mass of 4 kg. What is the position of its center of mass from one end?
A uniform triangular plate has vertices at (0,0), (4,0), and (0,3). Find the coordinates of its center of mass.
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.
Explain how the center of mass of a system changes if one of the masses is moved to a new position.
Explain why the center of mass of a hollow sphere is at its geometric center.
Explain why the center of mass of a system is important in analyzing collisions.
What is the center of mass of a system?
