Question

A system is shown in the figure, A man standing on the block is pulling the rope. The velocity of the point of string in contact with the hand of the man is $2$ m/s downwards. The velocity of the block will be(Assume that the block does not rotate):

• A. $3$ m/s
• B. $2$ m/s
• C. $1/2$ m/s
• D. $1$ m/s

Answer 1

The correct option is B $2$ m/s

$x_1=x_2$

As length remains constant

Differentiating both sides with respect to time

$\frac{d{x}_1}{dt}=\frac{d{x}_2}{dt}$

$v_1=v_2$

$2=v_2$

block rise same velocity in upward direction