11. (2 points) A system consists of two masses A and B connected by a single cab

Question

11. (2 points) A system consists of two masses A and B connected by a single cable wrapped around several pulleys. Mass A sits on a smooth surface and is connected to an immovable wall by a spring of stiffness k. Suppose the system is released from rest and mass B descends a distance h > 0 from its initial position. i. Assume the spring is initially unstretched. If the pulleys are massless, Block A will attain a speed 01 after Block B has descended a distance h. If the pulleys have finite mass, Block A will attain a speed u2 after Block B has descended a distance h. Which of the following is true? (a) vi is greater than u2 (b) vi is less than 2 (d) v is the same as 2 (d) insufficient information to tell. ii. Assume that the pulleys are massless. If the spring in the diagram is initially not stretched, Block A will attain a speed vi after Block B has descended a distance h. If the spring in the diagram is initially stretched, Block A will attain a speed u2 after Block B has descended a distance h. Which of the following is true? (a) vi is greater than 2 (b) vi is less than 2 (c) vi is the same as v2 (d) insufficient information to tell

Explanation / Answer

(i) option (b) is correct

V1 is less than V2 because tension on A is more than the tension on B.

(ii) option (a) is correct

As spring is initially stretched it will further stretch when B will descend more, so speed will increase less therefore option a is correct

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