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1. An insect is crawling inside a hemispherical bowl of radius r. If the coefficient of friction between the bowl and insect is u find the maximum height to which the insect can crawl.
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Answer:
An insect is crawling up a hemispherical bowl whose radius =R
If the coefficient of fraction =
3
1
Then the insect will be able to go up to height
h=?
10
3
=0.95
N=wcosθ
f=wsinθ
N
f
=tanθ=
3
1
⇒tanθ=18.43
∴cosθ=
(1/3)
2
+1
1
r
r−h
=
(1/3)
2
+1
1
=0.986
h=r(1−
μ
2
+1
1
)
=r(1−0.9486)
h=r(0.9486)
wherer=Rthen,
h=R(0.9486)
Explanation:
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