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You are working on a project to reconstruct a pyramid using very simple tools. I

ID: 1905488 • Letter: Y

Question

You are working on a project to reconstruct a pyramid using very simple tools. In order to get blocks of stone, of mass M1, up to the top of the pyramid, you want to use a ramp and a second mass, M2, attached to the first with a rope over a pulley as shown. Your goal is to design the ramp to do this. In terms of the mass of the block, M1, and the angle of the ramp, ?, which of the following expressions gives the magnitude of the normal force the ramp must exert on the block. The pulley is constructed so that the rope is parallel to the surface of the ramp. Question 2 options: A) M1 g sin(?) B) (M1 - M2) g sin(?) C) M1 g D) (M1 - M2) g cos(?) E) M1 g cos(?)

Explanation / Answer

for M1 sum forces perp to slope N - mg cos theta = 0 N = mg cos theta so E)

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