Question

A light block of mass m and a heavy block of mass M are attached to...

A light block of mass m and a heavy block of mass M are attached to the ends of a rope. A student holds the heavier block and lets the lighter block hang below it. Then she lets go. Air resistance can be neglected.

A. What is the tension in the rope while the blocks are being held ? Explain.

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Answer #1

Solution

Answer: Tension in the rope= Weight of lighter block = mg

Where m is the mass of lighter body and g is the acceleration due to gravity.

As shown in figure given below,when the lighter body is hanging down at the end of the rope, there are two forces acting on it.

  1. The downward gravitational force which is equal to weight of the body (mg)
  2. The upward tension exerted by the rope.

At equilibrium (no motion) these forces must be balanced by each other. Hence tension will be equal to weight if lighter body,

- Nano

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