# A uniform rod of mass M and length L is free to rotate in X-Z plane, i.e. $\vec{F} = (3\hat{i} + 2\hat{j} + 6\hat{k})N$

Q: A uniform rod of mass M and length L is free to rotate in X-Z plane, i.e., $\vec{F} = (3\hat{i} + 2\hat{j} + 6\hat{k})N$ is acting on the rod at (L/2, 0, 0) in the situation shown in figure. The angular acceleration of the rod is (Take M = 6 kg and L = 4m)

(a) $\displaystyle \frac{-3}{2}\hat{j} + \frac{1}{2}\hat{k}$

(b) $\displaystyle \frac{-3}{2}\hat{j}$

(c) $\displaystyle \frac{1}{2}\hat{k}$

(d) $\displaystyle 4\hat{j}$

Ans: (b)