Class 11PhysicsSystem of Particles and Rotational MotionMix Example - System of Particles and Rotational Motion
MediumState whether the following statements are true or false:
$(1)$ In the law of conservation of momentum, the center of mass velocity remains constant.
$(2)$ "If the resultant of internal forces on a system is zero, then the total linear momentum of the system remains constant." This is the statement of the law of conservation of linear momentum.
$(3)$ The position of the center of mass of a rigid body must always be inside the rigid body.
$(4)$ All particles of a rigid body undergoing rotational motion have the same linear velocity.
$(1)$ In the law of conservation of momentum, the center of mass velocity remains constant.
$(2)$ "If the resultant of internal forces on a system is zero, then the total linear momentum of the system remains constant." This is the statement of the law of conservation of linear momentum.
$(3)$ The position of the center of mass of a rigid body must always be inside the rigid body.
$(4)$ All particles of a rigid body undergoing rotational motion have the same linear velocity.
(D) $(1)$ False. The velocity of the center of mass remains constant if the net external force is zero.
$(2)$ False. The statement should refer to the resultant of external forces, not internal forces.
$(3)$ False. The center of mass can be located outside the body (e.g., a ring).
$(4)$ False. In rotational motion, all particles have the same angular velocity, but their linear velocities depend on their distance from the axis of rotation $(v = r\omega)$.
$(2)$ False. The statement should refer to the resultant of external forces, not internal forces.
$(3)$ False. The center of mass can be located outside the body (e.g., a ring).
$(4)$ False. In rotational motion, all particles have the same angular velocity, but their linear velocities depend on their distance from the axis of rotation $(v = r\omega)$.
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| $(c)$ $h = \frac{3R}{2}$ | $(iii)$ Sphere spins anti-clockwise,loses energy by friction. |
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View SolutionWhich of the following statements are correct?
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