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A block of mass m1on a frictionless inclined plane making an angle θ 1 with the horizontal is connected by a cord over a small frictionless massless pulley to a second block of mass m 2 on a frictionless plane at an angle θ 2 (see Fig). (a) Show that the acceleration of each block is And that the tension in the cord is (b) Evaluate the acceleration and tension for m 1 = 3.70 kg and m 2 = 4.86 kg when θ 1 = 28° and θ 2 = 42°. What direction does m 1 , move along the plane? (c ) Using the values of m1 θ 1 , and θ 2 given above, for what values of m 2 does m 1 accelerate up the plane? Accelerate down the plane? Not accelerate?
The negative sign highlights the fact that the block with mass m2 moves downwards while the block with mass m1 moves upwards.Therefore, the acceleration of the blocks is 1.74 m/s2 .Therefore, the tension in the string is 23.4 N .
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