Constraint — Two PulleysHardQuestion 30240
Question
In a system where one end of a rope is fixed and the other goes over a pulley attached to a block, if the free end is pulled down at speed v, the block rises at:
- Av
- Bv/2Correct
- C2v
- Dv²
Correct answer
v/2
Explanation
With the pulley attached to the block (movable pulley), two rope segments support the block. When the free end moves by x, the block moves by x/2. So block's speed = v/2.