A particle of mass M = 0.2 kg is initially at rest in the xy-plane at a point (x = -l, y = -h), where l = 10 m and h = 1 m . The particle is accelerated at time t = 0 with a constant acceleration $a = 10 m/s^2$ along the positive x-direction. Its angular momentum and torque with respect to the origin, in SI units, are represented by L and $\tau $ respectively. $\hat i$, $\hat j$ and $\hat k $ are unit vectors along the positive x, y and z-directions, respectively. If $\hat k = \hat i \times \hat j $ then which of the following statement(s) is(are) correct?

(A) The particle arrives at the point (x = l, y = -h) at time t = 2 s.
(B) $\vec τ = 2 \hat k $ when the particle passes through the point (x = l, y = -h)
(C) $\vec L = 4 \hat k $ when the particle passes through the point (x = l, y = -h)
(D) $\vec τ = \hat k $ when the particle passes through the point (x = 0, y = -h) Continue reading A particle of mass M = 0.2 kg is initially at rest …. →