A block on a smooth surface remains in translational equilibrium while two forces act…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A block on a smooth surface remains in translational equilibrium while two forces act on it: 1. An external force

\vec F_{\text{ext}}=6\hat i-2\hat j+4\hat k\,\text{N}

. 2. The reaction force

\vec F_{RB}

exerted by a rigid rod in contact with the block. The block exerts an action force on the rod given by

\vec F_{BR}=6\hat i-2\hat j+a\hat k\,\text{N}

. Calculate the value of

a

. (a)

-4

(b)

0

(c)

4

(d)

2