A particle m starts with zero velocity along a line y = 4d. The position of particle m varies as x = A sinωt. At ωt = π/2, its angular momentum with respect to the origin

Q: A particle of mass m starts with zero velocity along a line y = 4d. The position of particle m varies as x = A sinωt. At ωt = π/2 , its angular momentum with respect to the origin

(A) mAωd

(B) mωd/A

(C) mAd/ω

(D) zero

Sol:

At ωt = π/2

x = A sinωt

v = Aωcosωt = 0

So, angular momentum of particle m with respect to the origin should be zero.