Assuming the length of a chain to be L and coefficient of static friction. Compute the maximum length of the chain which can be held outside without sliding?(2)If the coefficient of friction between an I sect and bowl isu and the radius of the bowl is r find the maximum height to which the insect can crawl in the bowl? A body of mass m is released from the top of s rough included plane . If the frictional force F, then body will reach the bottom with a velocity?
Asked by kanakpandeyyy
20th August 2018,
7:55 PM
Answered by Expert
Answer:
As informed earlier too many questions were asked in one posting.
Only one question is allowed per posting.
Hence only Second question is answered.
Figure shows the various forces acting on insect while it is crawling and when it is at the height h from bottom of the bowl.
The force that is pulling the insect down is mgsinθ. The insect is able to crawl up due to friction force f = μN = μ×mg×cosθ.
At the point, where the insect starts falling, we have, m×g×sinθ = μ×mg×cosθ or tanθ = μ
from figure, it can be seen that, tanθ 
hence the maximum height h has to satisfy the condition, 
.................(1)
.................(1)it is left to the user as an exercise to get h from eqn.(1), and h is given by
Answered by Expert
21st August 2018,
6:41 PM
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