Question

End $A$ of a rod $AB$ is being pulled on the floor with a constant velocity $v_0$ as shown. Taking the length of the rod as $l$, at an instant when the rod makes an angle ${37}^{\circ }$ with the horizontal, calculate


The velocity of end $B$

• A. $\frac{3}{5}{v}_0$
• B. $\frac{4}{3}{v}_0$
• C. $\frac{5}{3}{v}_0$
• D. $\frac{5}{4}{v}_0$

Answer 1

The correct option is B $\frac{4}{3}{v}_0$

From the given data,

componets at point B:

for a rigid body relative velocity should be zero.
then, $V_{B}sin\theta =V_{B}cos\theta V_B=v_0\frac{1}{tan\theta }$
$\because$ given $\theta ={37}^o$
$V_B=v_0\times \frac{4}{3}\Rightarrow \frac{4}{3}{v}_0$