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)

Numerical

(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)

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