Two blocks made of different materials connected together by a thin cord, slide

Question

Two blocks made of different materials connected together by a thin cord, slide down a plane ramp inclined at an angle ? to the horizontal as shown in the figure(Figure 1) (block B is above block A). The masses of the blocks are mA and mB and the coefficients of friction are ?A and ?B.   

Part B.

If ?A>?B, determine a formula for the acceleration of block A in terms of mA,mB, and ?.

Express your answer in terms of the variables mA, mB, ?A, ?B, ?, and appropriate constants.

Part C.

If ?A<?B, determine a formula for the acceleration of block B in terms of mA,mB, and ?.

Express your answer in terms of the variables mA, mB, ?A, ?B, ?, and appropriate constants.

Part D.

If ?A>?B, determine a formula for the acceleration of block B in terms of mA,mB, and ?.

Express your answer in terms of the variables mA, mB, ?A, ?B, ?, and appropriate constants.

Explanation / Answer

let

m1 = m2 = 5.0 kg,

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