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A non-uniform rod of mass m, length l an...

A non-uniform rod of mass `m`, length `l` and radius `r` is having its centre of mass at a distance `l//4` from the centre and lying on the axis of the cylinder. The cylinder is kept in a liquid of uniform density `rho`. The moment of inertia of the rod about the centre of mass is `I`. The angular acceleration of point `A` relative to point `B` just after the rod is released from the position as shown in the figure is

A

`(pirhogl^(2)r^(2))/(I)`

B

`(pirhogl^(2)r^(2))/(4I)`

C

`(pirhogl^(2)r^(2))/(2I)`

D

`(3pirhogl^(2)r^(2))/(4I)`

Text Solution

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The correct Answer is:
B
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ALLEN -ELASTICITY, SURFACE TENSION AND FLUID MECHANICS-Exercise 2 (One or more than one correct answer)
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  2. A U-tube of base length l filled with the same volume of two liquids o...

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  3. A non-uniform rod of mass m, length l and radius r is having its centr...

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  4. A square box of water has a small hole located the bottom corners. Whe...

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  5. Water filled in an empty tank of area 10 A through a tap of cross sect...

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  6. Two very wide parallel glass plates are held vertically at a small sep...

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  7. A piece of cork starts from rest at the bottom of a lake and floats up...

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  8. A sealed tank containing a liquid of density rho moves with horizontal...

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  9. The U-tube shown has uniform cross-section A liquid is filled in the t...

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  10. Water coming out of the mouth of a tap and falling vertically in strea...

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  11. There are two identical small holes on the opposite sides of a tank co...

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  12. A U-tube of uniform cross section (see figure) is partially filled wit...

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  13. A homogeneous solid cylinder of length L(LltH/2), cross-sectional area...

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  14. A mercury manometer is connected as shown in the figure. The differenc...

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  15. An open pan P filled with water of density (rhow) is placed on a verti...

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  16. A small ball is left in a viscous liquid form very much height correct...

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  17. A cubical block of side a and density rho slides over a fixed inclined...

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  18. A space 2.5cm wide between two large plane surfaces is filled with oil...

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  19. A large drop of oil whose density is less than that of water, floats ...

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  20. If the terminal speed of a sphere of gold (density =19.5kg//m^3) is 0....

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