At a given instant, $A$ is moving with velocity of $5 m / s$ upwards. What is velocity of $B$ at that time ?

15 m / s ↓

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

15 m / s ↑

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 m / s ↓

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 m / s ↑

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $15 m / s ↓$
Let the displacements of $A$ and $B$ be $X$ and $Y$ respectively.

Using work done by tension method, (net work - done by tension is zero, since it is an internal force)
$3 T X + T Y = 0 \Rightarrow Y = - 3 X$
Differentiating,
$V_{B} = - 3 V_{A} = - 3 (+ 5) = - 15 m s^{- 1} = 15 m s^{- 1} downwards$

Suggest Corrections

Similar questions

5 m / s

5 m / s

At a given instant, block $A$ is moving with velocity of $5 m/s$ upwards. What is the velocity of block $B$ at that time?

A

20 m/s

B

5 m/s

Join BYJU'S Learning Program