Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is: |
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(a) |
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(b) |
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(c) |
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(d) |
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Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is: |
|||
(a) |
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(b) |
|
(c) |
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(d) |
|
For Ball
Using Parallel axis theorem.
Iball =MR2+M(2R)2
=MR2
2 Balls so MR2
Irod =for rod =
Isystem= IBall + Irod
=MR2+
=MR2
A body is projected at t=0 with a velocity 10 ms−1 at an angle of 60° with the horizontal. The radius of its trajectory at t=1s is R. Neglecting air resistance and taking acceleration due to gravity g=10 ms−2, the value of R is: |
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(a) |
2.5 m |
(b) |
10.3 m |
(c) |
2.8 m |
(d) |
5.1 m |
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