Motion in a Plane
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Question : 19
Total: 32
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 apoint 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.
(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 apoint 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.
Solution:
(a) The statement is false since the centripetal acceleration is towards the centre only in the case of uniform circular motion (constant speed) for which it is true.
(b) True, the velocity of a particle is always along the tangent to the path of the particle at the point either in rectilinear or circular or curvilinear motion.
(c) True, because the direction of acceleration vector is always changing with time, always being directed towards the centre of the path followed in the uniform circular motion, so the resultant of all these vectors will be a null vector.
(b) True, the velocity of a particle is always along the tangent to the path of the particle at the point either in rectilinear or circular or curvilinear motion.
(c) True, because the direction of acceleration vector is always changing with time, always being directed towards the centre of the path followed in the uniform circular motion, so the resultant of all these vectors will be a null vector.
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