Question

$A$ rod $AB$ of length $4$ m slides with its ends in contact with the floor and the inclined plane. At a particular instant, the position of the rod is shown in the figure. At his instant the end $A$ is moving towards right with velocity $4$ $m/s$ and acceleration $5$ $m/s^2$. Find the angular velocity of the rod?

• A. $\frac{11}{21}$
• B. $\frac{13}{21}$
• C. $\frac{11}{13}$
• D. $\frac{11}{25}$

Answer 1

The correct option is A $\frac{11}{21}$

As the nod is moving linearly $4$ m/s. Then the nod will go on to the land after $1$ sec. So the angular velocity becomes.

$(30\times \frac{\pi }{180})$ rad/S.

$=\frac{11}{21}$