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

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. The ramp has an angle of 18 degrees, and the block you wish to move up the ramp has a mass of M1 = 220 kg. What is the mass of the lifting block, M2, such that the acceleration of M1 is 0.1 m/s2? Give your answer in kg and to three significant figures.

Explanation / Answer

equation for M1 T - m1 g sin theta = m1 a equation for m2 m2 g - T = m2a add equation m2g - m1g sin theta = (m1 + m2 ) a m *9.81 - 220*9.81*sin(18) = (m +220) *0.1 m=70.95 kg

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