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.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
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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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