Position vector of a particle moving in x-y plane at time t is 
= a (1 – cos 
t) 
+ a sin 
t 
. The path of the particle is:
Text Solution
Verified by ExpertsThe correct answer is:
A
Particle is moving in a circle of radius a and centre (a, 0) with constant angular velocity ω . At time t = 0 particle is at origin and it starts rotating clockwise. At time t it has rotated an angle θ given by:
θ = ω t
y = a sin θ = a sin ω t
and x = a – a cos θ = a (1 – cos ω t)
∴ 
= a (1 – cos ω t) 
+ a sin ω t 
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