derive an expression for linear velocity at different point for a particle performing vertical circular motion ????? plzzzzz give answer fast ...
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Explanation:
ANSWER
vertical circular motion (ref. image)
use energy conservation at pt A & C
Assume A as ground level
2
1
mn
2
=2mgR+
2
1
mv
′2
v
2
=4gR+v
′2
T−mgcosθ=
R
mv
2
at ptAθ=0
o
At pt.Cθ=π(180
o
)
T
A
−mg=
R
mV
2
...(1)
T
C
+mg=
R
mV
′2
....(2)
subtract (2) from (1)
T
A
−T
C
−2mg=
R
m
(V
2
−V
′2
)
T
A
−T
C
=2mg+
R
m
(V
2
−V
′2
)
V
2
−V
′2
=4gR
∴T
A
−T
C
=2mg+
R
m
⋅4gR
=6mg
For complete vertical circular motion.
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