QUESTION In the figure below, a rope of length L is attached at one end to the f

Question

QUESTION In the figure below, a rope of length L is attached at one end to the fxed frame at C, wrapped around a pulley at A, and attached at the other end to a block at B. An actuator C is attached to the pulloy, 2, and is used to move the pulley horizontally. Finally, the block, 3, is constrained to slide through a fixed slot located a vertical distance H below which is oriented so that its axis is vertical and horizontally to the left at a constant speed of V20 passes directy through C.. The pulley and the block are intilly drectly below point C as the actuator begins to drag the pulley S2 S2 How many constraints are there on the motion of the block and pulley? a None b. C. 2 d. More than 3

Explanation / Answer

There are two contraints in the system

1). Since the length of the string is fixed, we have one contraint due to this

CA+AB=L=constant.

2). The velocity with which the block is pulled is related to the velocity of rhe pully, and thereupon to the velocity of verticaly moving block.

Hence, a total of two constraints.

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