Download the app

Questions  

An insect crawling up a fixed hemispherical bowl of radius .R. If the coefficient of friction is 13, then the insect can only crawl upto a height of

a
0.051 R
b
0.51 R
c
0.0051 R
d
0.95 R

detailed solution

Correct option is A

See fig.The insect will crawl up the bowl till the component of its weight down the plane just equals the force of limiting frictionF=Wsin⁡α  and  N=Wcos⁡αμ=tan⁡α=F/N=1/3 But tan⁡π2−α=cot ⁡α=xR2−x2 so that  X=3/10=0⋅949RNow  h=R−x=0⋅051R.

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

An ice cube is kept on an inclined plane of angle 30°. The coefficient of kinetic friction between the block and incline plane is the 1/3 . What is the acceleration of the block?


phone icon
whats app icon