Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Blocks of mass and hang from the two ends of a light string over a smooth pulley. They are let go from rest. Taking , find
Bodies joined by a light, taut string (or pushing on each other) move with the same acceleration. First treat the whole system: . Then take one body alone to find the force between them.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. , , .
Plan. System for ; the lighter block alone for ; an equation of motion for .
Step 1. Acceleration. .
Step 2. Tension. The lighter block rises: .
Step 3. Speed. .
Answer: (a) . (b) . (c) .
Check. The heavier block: , and . It agrees. The tension lies between the two weights, and .
Watch out. Dividing the net pull by the heavier mass alone is a common slip. Both blocks must be accelerated.
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