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10 August, 16:44

Block B has mass 6.00 kg and sits at rest on a horizontal, frictionless surface. Block A has mass 2.50 kg and sits at rest on top of block B. The coefficient of static friction between the two blocks is 0.400. A horizontal force P is then applied to block A. What is the largest value P can have and the blocks move together with equal accelerations?

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  1. 10 August, 17:41
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    Block A sits on block B and force is applied on block A. Block A will experience two forces 1) force P and 2) friction force in opposite direction of motion. Block B will experience one force that is force of friction in the direction of motion.

    Let force on block A be P. friction force on it will be equal to kinetic friction, that is μ mg, where μ is coefficient of friction and m is mass of block A

    friction force =.4 x 2.5 x 9.8

    = 9.8 N

    net force on block A = P - 9.8

    acceleration = (P - 9.8) / 2.5

    force on block B = 9.8

    acceleration = force / mass

    = 9.8 / 6

    for common acceleration

    (P - 9.8) / 2.5 = 9.8 / 6

    (P - 9.8) / 2.5 = 1.63333

    P = 13.88 N.
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