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Q. 14. A small body of mass m is tied to a string and revolved in a
vertical circle of radius r. If the tension in the string at the highest
point is mg, what is its speed there?
Answers
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0
Answer:
8 mg
Explanation:
let lowest point val. = v
work energy principle
wall=0K
w
g
+w
Y
=K
f
−K
i
[∵w
p
= work done by tension = 0]
mg(2r)=
2
1
m(
3rg
)
2
−
2
1
mv
2
2mgr=
2
3
mgr−
2
1
mv
2
mv
2
=3mgr+4mgr
∴v=
7gr
∴F
=T−mg
r
m(
7gr
)
2
=T−mg
⇒T=7mg+mg=8mg
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