A particle of mass is moving along a trajectory given by x = x_0 + a _1 t

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A particle of mass

m

is moving along a trajectory given by

x = x_0 + a \cos \omega_1 t,\qquad y = y_0 + b \cos \omega_2 t.

The torque, acting on the particle about the origin, at

t = 0

is: (1)

m(-x_0 b + y_0 a)\omega_1^2 \hat{k}

(2)

+my_0 a \omega_1^2 \hat{k}

(3) zero (4)

-m(x_0 b \omega_2^2 - y_0 a \omega_1^2) \hat{k}