Last Updated On [03-11-2023]
Two point masses of 0.3 kg and 0.7 kg are fixed at the ends of a rod of length 1.4 m and of negligible mass. The rod is set rotating about an axis perpendicular to its length with a uniform angular speed. The point on the rod through which the axis should pass in order that the work required for rotation of the rod is minimum is located at a distance of
a)
0.42 m from the mass of 0.3 kg
b)
0.70 m from the mass of 0.7 kg
c)
0.98 m from the mass of 0.3 kg
d)
0.98 m from the mass of 0.7 kg
Two point masses of 0.3 kg and 0.7 kg are fixed at the ends of a rod of length 1.4 m and of negligible mass. The rod is set rotating about an axis perpendicular to its length with a uniform angular speed. The point on the rod through which the axis should pass in order that the work required for rotation of the rod is minimum is located at a distance of
a)
0.42 m from the mass of 0.3 kg
b)
0.70 m from the mass of 0.7 kg
c)
0.98 m from the mass of 0.3 kg
d)
0.98 m from the mass of 0.7 kg
Question ID - 100736 :-
Two point masses of 0.3 kg and 0.7 kg are fixed at the ends of a rod of length 1.4 m and of negligible mass. The rod is set rotating about an axis perpendicular to its length with a uniform angular speed. The point on the rod through which the axis should pass in order that the work required for rotation of the rod is minimum is located at a distance of
a)
0.42 m from the mass of 0.3 kg
b)
0.70 m from the mass of 0.7 kg
c)
0.98 m from the mass of 0.3 kg
d)
0.98 m from the mass of 0.7 kg
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Two point masses of 0.3 kg and 0.7 kg are fixed at the ends of a rod of length 1.4 m and of negligible mass. The rod is set rotating about an axis perpendicular to its length with a uniform angular speed. The point on the rod through which the axis should pass in order that the work required for rotation of the rod is minimum is located at a distance of |
|||
|
a) |
0.42 m from the mass of 0.3 kg |
b) |
0.70 m from the mass of 0.7 kg |
|
c) |
0.98 m from the mass of 0.3 kg |
d) |
0.98 m from the mass of 0.7 kg |
(c)
The moment o inertia of the system about axis of rotation 
is
+
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The work done in rotating the rod is converted into its rotational kinetic energy
For work done to be minimum
Next Question :
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Let |
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be the moment of inertia of a uniform plate about an axis 
that passes through its centre and is parallel to two of its sides. 
is a line in the plane of the plate that passes through the centre of the plate and makes an angle 
with 
. The moment of inertia of the plate about the axis 
is then equal to
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