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Mechanical Engineering QUESTION #2543
Question 1
A body rests on an inclined plane at angle \(\theta\). The body is on the verge of slipping. This condition defines:
  • \(\tan\theta = \mu_k\)
  • \(\sin\theta = \mu_s\)
  • \(\tan\theta = \mu_s\)✔️
  • \(\cos\theta = \mu_s\)
Correct Answer Explanation
At impending slip on an incline, resolving forces: \(F=W\sin\theta\) and \(N=W\cos\theta\). At limiting friction: \(F=\mu_s N\), giving \(W\sin\theta=\mu_s W\cos\theta\), hence \(\tan\theta=\mu_s\).