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Fig. 2 is connected with a very light, flexible, and inextensible string of mass

ID: 1443080 • Letter: F

Question





Fig. 2 is connected with a very light, flexible, and inextensible string of mass m (m<M). M is mass of rope.
A. Motion of the blocks is the same in Fig. 1. How does the net force on the string compare to the net force on the rope? Determine whether the net force on each object is greater, less, or equal to the net force in figure 1. (Block A, block B, system). Explain. Compare the horizontal components of the force on the string by block A (fig. 2)and force of rope on block A (fig. 1). And the same for block B. Explain.
B. Mass of string becomes smaller and smaller, but motion remains same. What happens to net force on string and the magnitudes of the forces exerted on the string by blocks A and B.

Explanation / Answer

A. Since the mass of string in second case is higher from the first one.

If we consider both the blocks and string as system.

The net external force will bE equal to total mass into acceleration of the system.

IN both the cases we apply same external force , the acceleration in second case will be more than in first case.

Hence the net force on the string will be less than that in first case.

Net force on each block will be greater than that in first case.

The net force on string by block A will bgreater than first case and same goes for force of rope on block A .

The force of block B on rope will be greater and force of rope on block B will also be greater.

B. If we reduce the mass of string further then tension in the string will be same throughout

Hencene net force on string will be zero and force exerted by blocks will be equal to the tension in the string.

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