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 kg is on a horizontal, frictionless 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. Solve for the magnitude of the acceleration, a1, of the block of mass m1, in meters per square second.  Find the magnitude of the tension in the rope, T, in newtons.

College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 kg is on a horizontal, frictionless 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.

Solve for the magnitude of the acceleration, a1, of the block of mass m1, in meters per square second. 

Find the magnitude of the tension in the rope, T, in newtons. 

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