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Concepts Of Physics MCQ Edition [Volume 1]PhysicsNewton's Laws of Motion

Determine the acceleration of the block of mass M for the setup shown in the figure. Assume that all surfaces are frictionless and the pulleys and string are light.

Options

  1. Ag 3 up the plane
  2. Bg 2 up the plane
  3. Cg 4 up the plane
  4. Dg 3 down the plane

Correct answer

A. g 3 up the plane

Step-by-step solution

Let T be the tension in the string. The block of mass M is pulled up the incline by a single string, so the tension force acting on it is T . The movable pulley is supported by two segments of the same string, so the total upward force on it is 2T . Let the downward acceleration of the block of mass 2M be a . By string constraint, if the movable pulley moves downwards by a distance x , it requires 2x length of string. This string comes from the portion on the incline, meaning the block of mass M must move up the in

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