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7 March, 01:23

Block A weighs 1.20 N and block Bweighs 3.60 N. The coefficient of kinetic frictionbetween all surfaces is 0.300. Find the magnitudeof the horizontal force F necessary to drag blockB to the left at constant speed a) if A rests on Band moves with it and b) if A is held at rest.

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  1. 7 March, 04:54
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    a) In this case A rests on B and both rest on horizontal surface

    Both moves together.

    Total reaction due to weight of both of them

    R = 1.2 + 3.6 = 4.8 N

    friction force by horizontal surface = μ R, μ is coefficient of friction.

    =.3 x 4.8 = 1.44 N

    Force equal to frictional force will be required to put both of them in uniform motion.

    b) If A is held stationary, friction force will arise at both, the upper and lower surface of B.

    At upper surface friction force = μ x weight of A

    =.3 x 1.2 =.36 N

    At lower surface friction force = μ x weight of A + B

    =.3 x 4.8

    = 1.44

    Total frictional force on B

    = 1.8 N N.

    So 1.8 N force will be required to put B in uniform keeping A stationary.
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