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3-2.Motion in Plane
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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
Option A
Option B
Option C
Option D
Solution
$(a)$ False : The net acceleration of a particle in circular motion is not always directed along the radius of the circle toward the centre. It happens only in the case of uniform circular motion.
$(b)$ True : At a point on a circular path, a particle appears to move tangentially to the circular path. Hence, the velocity vector of the particle is always along the tangent at a point.
$(c)$ True: In uniform circular motion $(UCM)$, the direction of the acceleration vector points toward the centre of the circle. However, it constantly changes with time. The average of these vectors over one cycle is a null vector.
$(b)$ True : At a point on a circular path, a particle appears to move tangentially to the circular path. Hence, the velocity vector of the particle is always along the tangent at a point.
$(c)$ True: In uniform circular motion $(UCM)$, the direction of the acceleration vector points toward the centre of the circle. However, it constantly changes with time. The average of these vectors over one cycle is a null vector.
Standard 11
Physics
