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Classical Mechanics Level 4

An object of mass m = 2 kg m = \SI{2}{\kilo\gram} is lying on a rough inclined slope such that it is at rest. Find the magnitude of contact force acting on the object (in Newtons).

Details and Assumptions:

  • g = 10 m s − 2 g=\SI{10}{\meter\per\second\squared}

  • Coefficient of friction ( μ \mu ) = 0.8

  • Angle of inclination θ = 3 0 ∘ \theta = 30 ^ \circ


The answer is 20.

Shubham Maurya by Shubham Maurya , 26, India

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1 solution

Shubham Maurya
Jun 9, 2014

The maximum value of friction is 0.8 2 10*cos(30) = 13.85 N

But, the force of gravity along the incline is 10 Newton.

So, frictional force on object = 10 N (not 13.85 N)

Now net contact force = resultant of normal reaction and frictional force

6 Helpful 0 Interesting 0 Brilliant 0 Confused

did d same way...................nice problem

Divyanshu Vadehra - 6 years, 9 months ago

In the first statement, why do you use coseno instead of sin?

Paola Ramírez - 3 years, 10 months ago

isn't contact force just normal force?

Rohan Joshi - 5 months ago

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