3. A man is walking over a dome of 10 m radius. Howv far he can descend from the top of the dome without slipping? Take coefficient of friction between the surface of the dome and shoes of the man as 0.6. [Ans. 1.413 m] Hint. Let the man start from the top of the dome (A) and reach a point (B), beyond which cannot walk. Now let (W) be the weight of the man and (0) and angle subtended by the arc AB at the centre of the dome. Normal reaction at B= W cos 0 and force of friction, F = W sin e W sin 0 =μ.Wcos θ tan 0 μ=0.6 e = 31° or
3. A man is walking over a dome of 10 m radius. Howv far he can descend from the top of the dome without slipping? Take coefficient of friction between the surface of the dome and shoes of the man as 0.6. [Ans. 1.413 m] Hint. Let the man start from the top of the dome (A) and reach a point (B), beyond which cannot walk. Now let (W) be the weight of the man and (0) and angle subtended by the arc AB at the centre of the dome. Normal reaction at B= W cos 0 and force of friction, F = W sin e W sin 0 =μ.Wcos θ tan 0 μ=0.6 e = 31° or
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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