Question

In the shown figure two beads slide along a smooth horizontal rod as shown in the figure. The relation between $v$ and $v_0$ in the shown position will be

• A. $v=v_o\cot \theta$
• B. $v=v_o\sin \theta$
• C. $v=v_o\tan \theta$
• D. $v=v_o\cos \theta$

Answer 1

The correct option is A $v=v_o\cot \theta$

The velocity of the bead and the block along the string should be equal.

$\therefore$ As shown in the figure we have,
$v\sin \theta =v_o\cos \theta$
Or, $v=v_o\cot \theta$