JEE PYQ: Laws Of Motion Question 17
Question 17 - 2020 | 06 Sep Shift 1] (MCQ)
An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the ditch but starts slipping after it is at height $h$ from the bottom. If the coefficient of friction between the ground and the insect is 0.75, then $h$ is :
(1) 0.20 m [Correct]
(2) 0.45 m
(3) 0.60 m
(4) 0.80 m
Show Answer
Answer: (1)
Solution
$\tan\theta = \mu = 0.75$. $\cos\theta = \frac{4}{5}$. $h = R - R\cos\theta = \frac{R}{5} = 0.2$ m.