Laws of Motion 3 Question 11

11. An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the surface and the insect is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle α with the vertical, the maximum possible value of α is given

(2001, 2M)

(a) cotα=3

(b) tanα=3

(c) secα=3

(d) cosecα=3

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Answer:

Correct Answer: 11. (a)

Solution:

  1. Equilibrium of insect gives

N=mgcosαμN=mgsinα

From Eqs. (i) and (ii), we get

cotα=1μ=3



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