A crate of weight W is being lifted vertically at a constant velocity by a crane

Question

A crate of weight W is being lifted vertically at a constant velocity by a crane, with the tension in each cable being T. What is the weight of the crate? A) W = 2T cos theta B) W = T/sin theta C) W = 2T/sin theta D) W = T sin theta E) W = 2T sin theta F) W = 2T/cos theta If, during the act of lifting the crane at a constant velocity, the crane does work W_C and gravity does work W_g, and these are the only forces acting on the crate, which of the following is correct? A) W_C = W_g B) W_C 0 D) W_C = -W_g E) 2W_C = W_g

Explanation / Answer

here,

7)

equating the forces on crate vertically

T * sin(theta) + T * sin(theta) = W

2 * T * sin(theta) = W

the weight of crate is E) 2*T*sin(theta)

so the correct option is E)

8)

the net work done on the crate is zero as the net force on the crate is zero

so, Wc + Wg = 0

Wc = - Wg

the correct option is D)

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