Physics problem with block attached to rope?

Question

A 1kg block is at rest on the floor while a rope is pulling on it applying a force of 5N at an angle of 30 degrees above the horizontal.

What is the magnitude and direction of the normal force acting on the block?

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General Physics RvTDLR 4 years 1 Answer 469 views 0

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Answer ( 1 )

  1. vertical forces acting on block are:

    normal reaction, R acting up

    component of applied force, 5sin(30) acting up

    weight of block acting down, 1g

    Therefore

    R + 5sin(30) = g

    R = g – 5sin(30)

    = 9.8 – 5(1/2)

    = 9.8 – 2.5

    = 7.3 N acting upward

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