Question

Find the velocity of 'B' if the end of the rope is pulled with a speed of 1 m/s.

(Given that 'B' is constrained to move along vertical)

(Given that 'B' is constrained to move along vertical)

- 12 m/s
- 13 m/s
- 34 m/s
- 38 m/s

Solution

The correct option is **D** 38 m/s

By length constraint if rope is moved by 1 m, pulley moves by 12 m.

∴ Velocity of A is 12 m/s

By condition of wedge contraint the velocity along common normal remains same.

VBcos θ=VA sin θ

VB=VA tan θ

=12(34)

=38 m/s

By length constraint if rope is moved by 1 m, pulley moves by 12 m.

∴ Velocity of A is 12 m/s

By condition of wedge contraint the velocity along common normal remains same.

VBcos θ=VA sin θ

VB=VA tan θ

=12(34)

=38 m/s

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