Question

The two blocks are moving with constant velocity as shown in the diagram. Mark the correct option.

• A. The value of $V_o$ is $4m/s$
• B. The value of $V_o$ is $5m/s$
• C. The value of $\theta$ is ${37}^{\circ }$
• D. The value of $\theta$ is ${30}^{\circ }$

Answer 1

The correct option is B The value of $V_o$ is $5m/s$

Components of $V_0$ in the direction of string is velocity of block attached to that string.
For string connected to left hand block,
$V_0\cos {60}^0=2.5$ (1)
For string connected to right hand block,
$V_0\cos ({90}^0-\theta )=4$
$V_0\sin \theta =4$ (2)
Dividing equation (2) by (1), we get
$\sin \theta =\frac{4}{5}$
$⟹\theta ={53}^0$
From equation (1) value of $V_0$ is,
$V_0=5m/s$