Answer to Question #172799 in Physics for mahikah

Question #172799

A 50 kg block sits on a level surface. One end of the surface is raised until the block begin to slide down the ramp at a constant velocity. What is the angle if the coefficient friction is 0.750 between the block and the incline plane in degrees?


1
Expert's answer
2021-03-18T14:01:51-0400

mgsinαμN=ma=0mg\sin\alpha-\mu N=ma=0


N=mgcosαN=mg\cos\alpha


mgsinα=μmgcosαμ=tanαmg\sin\alpha=\mu mg\cos\alpha \to \mu=\tan\alpha\to


α=tan1μ=tan10.7537°\alpha=\tan^{-1}\mu=\tan^{-1}0.75\approx37° . Answer






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