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Grade 11Mechanics

A block of mass m1on a frictionless inclined plane making an angle θ₁ with the horizontal is connected by a cord over a small frictionless massless pulley to a second block of mass m₂ on a frictionless plane at an angle θ₂ (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 m₁= 3.70 kg and m₂= 4.86 kg when θ₁ = 28° and θ₂ = 42°. What direction does m₁, move along the plane? (c ) Using the values of m1 θ₁, and θ₂ given above, for what values of m₂ does m₁ accelerate up the plane? Accelerate down the plane? Not accelerate?

Simran Bhatia

11 Years agoGrade 11

1 Answer

Aditi Chauhan

11 Years ago

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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