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EAMCET Engineering 2009 Solved Paper
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© examsnet.com
Question : 39
Total: 160
A rod of length
l
is held vertically stationary with its lower end located at a point
P
, on the horizontal plane. When the rod is released to topple about
P
, the velocity of the upper end of the rod with which it hits the ground is
√
g
l
√
3
g
l
3
√
g
l
√
3
g
l
Validate
Solution:
In this process potential energy of the metre stick will be converted into rotational kinetic energy. PE of metre stick
=
m
g
l
2
Because its centre of gravity lies at the middle of the rod.
Rotational kinetic energy
E
=
1
2
I
ω
2
I
=
moment of inertia of metre stick about point
A
=
m
l
2
3
.
By the law of conservation of energy
m
g
(
l
2
)
=
1
2
I
ω
2
=
1
2
m
l
2
3
(
v
B
l
)
2
By solving, we get
v
B
=
√
3
g
l
© examsnet.com
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