Question

In above shown figure, two block of unequal masses are connected with string and passes over a fixed massless pulley. Assume pulley is frictionless. Which of the following statements is true?

• A. Block A is more massive than block B
• B. Block B is more massive than block A
• C. Both blocks will move with the same constant velocity
• D. Both blocks will move with the same constant acceleration
• E. Block A must have a greater acceleration than block B

Answer 1

The correct option is D Both blocks will move with the same constant acceleration

Since the string must remain intact, the tension in the string and the acceleration of each point in the string, and hence acceleration of both the block must be same.

The magnitude of the acceleration would be $a=\frac{M-m}{M+m}g$