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A block with mass 15.8 kg is placed on an inclined plane with slope angle 20.4 d

ID: 2182373 • Letter: A

Question

A block with mass 15.8 kg is placed on an inclined plane with slope angle 20.4 degrees and is connected to a second hanging block that has mass 6 kg by a cord passing over a small, frictionless pulley. The coefficient of static friction is 0.44 and the coefficient of kinetic friction is 0.26.

a.) What is the normal force on m1?

b.) If the inclined slope is frictionless, what is the acceleration of the 2 masses? Use up the incline as your + x direction.

c.) What is the tension in the cord in this case?

A block with mass 15.8 kg is placed on an inclined plane with slope angle 20.4 degrees and is connected to a second hanging block that has mass 6 kg by a cord passing over a small, frictionless pulley. The coefficient of static friction is 0.44 and the coefficient of kinetic friction is 0.26. a.) What is the normal force on m1? b.) If the inclined slope is frictionless, what is the acceleration of the 2 masses? Use up the incline as your + x direction. c.) What is the tension in the cord in this case?

Explanation / Answer

a). normal force on m1=mg*cosa=145.28N b).let there is tension T in cord m1g sina-T=m1a T-m2g=m2a a=-0.22 m/s^2 which means block 1 will move up the inclie plane and 2 will move downwards c). T=57054 N

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