Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m1 = 12.25 kg is on a horizontal table and the other block with mass m2 = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram.Write an expression for the acceleration, a2, the block of mass m2 experiences in the y-direction. Your answer should be in terms of the tension, T and m2.

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Asked Oct 7, 2019
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  Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m1 = 12.25 kg is on a horizontal table and the other block with mass m2 = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram.

Write an expression for the acceleration, a2, the block of mass m2 experiences in the y-direction. Your answer should be in terms of the tension, T and m2.

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Expert Answer

Step 1

Consider the acceleration of the first block, that move along the horizontal, be a1, and the acceleration of the second block, that move along the vertical, be a2.

 

Apply Newton’s second law along the horizontal direction.

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Σ-mag тан T - та

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Step 2

Apply Newton’s second law al...

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LF - та, W, — Т %3D т,а, т,а, — т,а. т,g — ,

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