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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)

  1. 12 m/s
  2. 13 m/s 
  3. 34 m/s
  4. 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

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