Answer to Question #91263 in Mechanics | Relativity for Umar

Question #91263
A body of mass 6N rest on a plane inclined at 30 degree to horizontal.
a) what force keeps it from sliding down on the plane?
b) what is the coefficient of the friction?
1
Expert's answer
2019-07-09T13:09:53-0400

1) Holds the force of friction.

2)

F=μNF = \mu Nμ=F/N\mu = F/Nμ=mgsinαN=mgsinαmgcosα=tanα\mu = {mg\sin\alpha \over N} = {mg\sin\alpha \over mg\cos\alpha } = \tan \alpha

μ=tan30o\mu = \tan 30^o

μ=3/3=0.577\mu = \sqrt{3} / 3 = 0.577

Answer: 1) friction force; 2) 0.577


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