Two masses are connected by a rope which runs over a pulley, as shown below. The blue block has mass M and the red block has mass m. The blue block is heavier, M < m.  Please look at the picture attached  Part 1) Define up as the positive direction for both blocks. am is the acceleration of the red block and aM is the acceleration of the blue block, and both ropes have the same magnitude tension T. Which of the following mathematical statement is true? Select all that apply please           A. Mg - T = M aM          B. T - Mg = M aM          C. T - mg = mam          D. mg - T = -mam

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Two masses are connected by a rope which runs over a pulley, as shown below. The blue block has mass M and the red block has mass m. The blue block is heavier, M < m. 

Please look at the picture attached 

Part 1) Define up as the positive direction for both blocks. ais the acceleration of the red block and aM is the acceleration of the blue block, and both ropes have the same magnitude tension T. Which of the following mathematical statement is true? Select all that apply please 

         A. Mg - T = M aM

         B. T - Mg = M aM

         C. T - mg = mam

         D. mg - T = -mam

Part 2) Which of the following is the correct expression for the magnitude of the acceleration that the blocks experience in terms of the quantities given in the problem?

           A.   a = mg - Mg / M + m

           B.   a = Mg - mg / M + m 

           C.   a = g - T / m

           D.   a = mg - Mg / M - m 

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