Two blocks of mass m1 = 3.0kg and m2 = 2.5kg are attached with a rope. The rope goes around several ideal pulleys.  Two of the pulleys are attached directly to the ceiling (grey shaded region at the top) and will not move up or down. The lower pulley will move with block 1.  Block 1 is free hanging and will move vertically.  Block 2 rests on an inclined ramp at angle θ = 30°. The ramp is frictionless.  Block 1 is observed to accelerate upwards.  The experiment is done on earth, g = 9.8 m/s2  What is the tension in the long rope?  by using variables only

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Two blocks of mass m1 = 3.0kg and m2 = 2.5kg are attached with a rope. The rope goes around several ideal pulleys. 

Two of the pulleys are attached directly to the ceiling (grey shaded region at the top) and will not move up or down. The lower pulley will move with block 1. 

Block 1 is free hanging and will move vertically. 

Block 2 rests on an inclined ramp at angle θ = 30°. The ramp is frictionless. 

Block 1 is observed to accelerate upwards. 

The experiment is done on earth, g = 9.8 m/s2 

What is the tension in the long rope? 

by using variables only

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