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Question :Read each statement below carefully and state, with reasons, if it is true or false :(a) The net acceleration of a particle in circular motion is always along the radius of the circle towards the centre.(b) The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point.(c) The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector

Last updated date: 13th Jun 2024
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Hint: You can apply the principles of circular motion, velocity, and acceleration to determine the correctness of these statements.

Step-by-Step Solutions:

(a) The net acceleration of a particle in circular motion is always along the radius of the circle towards the center:

Explanation: This statement is true. In circular motion, the net (centripetal) acceleration is directed radially inward toward the circle's centre. This acceleration is responsible for keeping the particle moving in a circular path. It is always perpendicular to the velocity vector.

(b) The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point:

Explanation: This statement is true. The velocity vector of a particle at any point in its path is always tangent to the path at that point. It represents the direction of motion at that specific moment, tangential to the circular path.

(c) The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector: