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Show that moment of a couples does not d...

Show that moment of a couples does not depend on the point about which you take the moments.

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To show that the moment of a couple does not depend on the point about which you take the moments, we can follow these steps: ### Step-by-Step Solution: 1. **Definition of a Couple**: A couple consists of two equal and opposite forces acting on a rigid body, separated by a distance. This results in a rotational effect without any translational motion. 2. **Identify Forces and Points**: ...
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(i) Find the torque of a force 7hati + 3hatj - 5hatk about the origin. The force acts on a particle whose position vector is hati - hatj + hatk . (ii) Show that moment of a couple does not depend on the point about which you take the moments.

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PRADEEP-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-SOLVED EXAMPLES
  1. A flywheel of mass 25 kg has a radius of 0.2 m. It is making 240 rpm. ...

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  2. Show that the angular momentum about any point of a single particle mo...

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  3. Show that moment of a couples does not depend on the point about which...

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  4. A metal bar 70 cm long and 4.00 kg in mass is supported on two knife e...

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  5. A car moves on a road with a speed of 54 km h^(-1). The radius of its...

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  6. A grindstone has moment of inertia of 6 kg m^(2). A constant torque is...

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  7. A body whose moment of intertia is 3 kg m^(2) is at rest. It is rotate...

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  8. A wheel, initially at rest, rotates for 2 s under angular acceleration...

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  9. A cylinder of mass 5 kg and radius 30 cm and free to rotate about its ...

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  10. To speed up a flywheel from 60rpm to 120 rpm, energy equal to 9000 J i...

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  11. What will be the duration of the day, if the earth suddenly shrinks to...

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  12. The maximum and minimum distances of a comet from the sun 1.4 xx 10^(1...

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  13. A horizontal disc ratating about a vertical axis passing through its c...

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  14. A ball tied to a string takes 4 s to complete one revoluting along a h...

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  15. A preson is standing on the centre of a rotating table with his arms o...

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  16. If the earth suddenly contracts to one third of its present size, calc...

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  17. A disc of moment of inertia I(1) is rotating freely with angular speed...

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  18. Calculate the moment of inertia of a uniform rod of mass M and length ...

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  19. Find the out the moment of inertia of a ring having uniform mass distr...

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  20. Four spheres, each of diameter 2a and mass M are placed with their cen...

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