A smooth uniform rod AB is 3 meters long and has weight 30 newton's the rod is supported in horizontal position by strestone at Q 70cm from Band arope under the load at P 70cm from both part of the rope supporting the load are vertical calculate the value of vertical reaction at Q and the tension in the rope assuming this is constant through out that part of the rope in contact with rod
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Answer:
In the process of motion of the given system the kinetic energy and the angular momentum relative to rotation axis do not vary.
Hence, it follows that:
2
1
3
Ml
2
ω
0
2
=
2
1
m(ω
2
l
2
+v
′
2
)+
2
1
3
Ml
2
ω
2
(ω is the final angular velocity of the rod)
3
Ml
2
ω
0
=
3
Ml
2
ω+ml
2
ω
From these equations we obtain:
ω=
(1+
M
3M
)
ω
0
v
′
=
1+
M
3m
ω
0
l
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