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A block of mass 4 ~kg at rest on a rough inclined plane making an angle of with the horizontal. The coefficient of static friction between the block and plane is 0.5 and the frictional force on the block is 14.14 ~N , find the value of ?

Options

  1. A30^
  2. B45^
  3. C60^
  4. D15^

Correct answer

B. 45^

Step-by-step solution

Given, m=4 ~kg , _s=0.5f r_k=14.14 ~N =10 2 ~N Normal reaction force, N=m g =4 10 =40 and kinetic friction, array lrl & f r_k= _s N 10 2 =0.5 40 & 10 2 = 1 2 40 & 10 2 =20 = 10 2 20 & = 1 2 =45^ array

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