Answer to Question #97347 in Mechanics | Relativity for Christopher lucky

Question #97347
a block a mass 50kg slides down a plane inclined at an angle 30 to the horizontal. if the coefficient of friction is 0.4 calculate the frictional force btwn the two surfaces (g=10m/s)
1
Expert's answer
2019-10-30T12:30:34-0400

The friction force by definition


F=μNF=\mu N

The normal reaction force is given by

N=mgcosθN=mg\cos\theta

So


F=μmgcosθF=\mu mg\cos\theta

=0.4×50kg×10m/s2×cos30=173.2N=0.4\times 50\:\rm kg\times 10\: m/s^2\times \cos 30^{\circ}=173.2\:\rm N


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