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 12
A 1 kg mass is placed at (1,0), a 2 kg mass at (0,2), and a 3 kg mass at (2,2). Find the y-coordinate of the center of mass.
A 2 kg mass is at (0,0), a 4 kg mass at (0,3), and a 6 kg mass at (4,0). Find the x-coordinate of the center of mass.
A system consists of a 5 kg mass at (0,0), a 3 kg mass at (0,4), and a 2 kg mass at (3,0). Find the y-coordinate of the center of mass.
A system consists of three particles of equal mass placed at the vertices of an equilateral triangle of side a. What is the position of the center of mass?
A system consists of two particles of masses 2 kg and 3 kg located at (0,0) and (4,0) respectively. Find the x-coordinate of the center of mass.
A uniform disc of radius R has a hole of radius R/2 cut out from its edge. Where is the center of mass of the remaining part located relative to the center of the original disc?
A uniform L-shaped object is made by joining two rods of equal length L at right angles. Where is the center of mass located relative to the corner where the rods meet?
A uniform plate in the shape of a right triangle has legs of length a and b. Where is its center of mass located from the right-angle vertex?
A uniform square plate of side 2a has a smaller square of side a removed from one corner. Find the position of the center of mass of the remaining plate relative to the original center.
A uniform triangular plate has vertices at (0,0), (4,0), and (0,3). Find the coordinates of its center of mass.
Define the center of mass of a system of particles.
Describe how the center of mass of a two-particle system changes as the mass of one particle increases while the other remains fixed.
Explain why the center of mass of a hollow ring is at its geometric center, even though there is no mass at that point.
Explain why the center of mass of a system is important in analyzing collisions.
If a system of particles is subjected only to internal forces, what happens to the velocity of its center of mass?
If the net external force on a system is zero, what can be said about the motion of its center of mass?
A composite body is made by attaching a uniform semicircular plate of radius R to a uniform square plate of side 2R such that their centers coincide. Find the y-coordinate of the center of mass of the composite body relative to the common center.
A system consists of four particles of masses 1 kg, 2 kg, 3 kg, and 4 kg placed at the points (0,0), (0,2), (2,0), and (2,2) respectively. Calculate the coordinates of the center of mass.
A system consists of three particles of masses m, 2m, and 3m placed at the vertices of a right triangle with sides a, b, and c (c is the hypotenuse). If m is at (0,0), 2m at (a,0), and 3m at (0,b), find the coordinates of the center of mass.
A system consists of two particles of masses m and 2m separated by a distance d. If the heavier mass is at the origin, what is the position of the center of mass?
