Center of Mass
Physics ⇒ Mechanics
Center of Mass starts at 11 and continues till grade 12.
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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.
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?
The center of mass of a system of particles depends on (1) the masses of the particles only (2) the positions of the particles only (3) both the masses and positions of the particles (4) neither masses nor positions
The center of mass of a system of particles is unaffected by (1) internal forces (2) external forces (3) both internal and external forces (4) none of these
Which of the following best describes the motion of the center of mass of a projectile in flight (neglecting air resistance)? (1) It follows a straight line (2) It follows a parabolic path (3) It remains stationary (4) It moves in a circle
Which of the following is NOT a property of the center of mass? (1) It is unique for a given system (2) It always lies within the object (3) It moves according to the net external force (4) It can be used to simplify analysis of motion
For a uniform solid sphere, the center of mass is located at the ______ of the sphere.
The center of mass of a system of particles is defined as the weighted average of their positions, weighted by their ______.
The center of mass of a uniform rod of length L lies at a distance of ______ from either end.
The center of mass of a uniform semicircular ring of radius R lies at a distance of ______ from the center of the circle along the axis of symmetry.
Is it possible for the center of mass of a system to be located at a point where there is no mass?
State whether the following statement is true or false: The center of mass of a system always coincides with the center of gravity.
State whether the following statement is true or false: The center of mass of a system moves as if all the external forces act at that point.
The center of mass of a system of particles is at rest. Can the individual particles be in motion?
