Question

Find the velocity of the hanging block if the velocities of the free ends of the rope are as indicated in the figure.A \( 3 / 2 m / s \uparrow \)B \( 3 / 2 m / s \downarrow \)C \( 1 / 2 m / s \uparrow \)D \( 1 / 2 m / s \downarrow \)

Answer 1

Correct option: (A) \(\frac{3}{2}\) m / s ↑

Work done by T = 0 

∴ ∑T ⋅ V = 0 

2 ⋅ T + 1 ⋅ T + 2 T V = 0 

⇒ − 3 T = − 2 T V ( T & 2 are 180^o ) 

∴ \(V=\frac{3}{2}\) m / s ↑