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The angular velocity of a rotating body ...

The angular velocity of a rotating body is `vec omega = 4 hat i + hat j - 2 hat k`. The linear velocity of the body whose position vector `2hati + 3 hat j - 3 hat k` is

A

`5hat(i) + 8hat(j) + 14hat(k)`

B

`3hat(i)+ 8hat(j)+10hat(k)`

C

`8hat(i)-3hat(j)+2hat(k)`

D

`-8hat(i)+3hat(j+2hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
B
`bar(v) = bar(omega) xx bar(r )`
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NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - I (C.W)
  1. If two particles of masses 3kg and 6kg which are at rest are separated...

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  2. Two bodies of 6kg and 4kg masses have their velocity 5hati - 2 hat j +...

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  3. The angular velocity of a rotating body is vec omega = 4 hat i + hat j...

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  4. The angle between the vectors (hat i + hat j + hat k) and ( hat i - ha...

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  5. The average angular velocity of the seconds hand of a watch if the sec...

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  6. The angular displacement of a particle is given by theta =t^3 + t^2 + ...

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  7. A body rotating with uniform angular acceleration covers 100 pi (radia...

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  8. A body rotates about a fixed axis with an angular acceleration of 3 ra...

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  9. A wheel starts from rest and acquires an angular velocity of 60 rad//...

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  10. Two moving particles P and Q are 10 apart at any point . Velocity o...

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  11. Two particle move in concentio cireles of radii r(1) and r(2) such tha...

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  12. A stationary wheel starts rotating about its own axis at uniform rate ...

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  13. A table fan , rotating at a speed of 2400 rpm is switched off and th...

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  14. If vec(F) = 2hat(i) - 3hat(j) N and vec(r ) = 3hat(i) + 2hat(j) m t...

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  15. A door 1.6 m wide requires a force of 1 N to be applied at the free an...

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  16. A weightless rod is acted on by upward parallel forces of 2 N and 4N e...

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  17. The mass of a uniform circular ring of radius 0.2m is 0.1kg. Calcuate ...

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  18. Two bodies of mass 1 kg and 2 kg are attached to the ends of a 2 me...

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  19. If the radius of gyration of a solid disc of mass 10 kg about an axis ...

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  20. A hoop of mass 500gm & radius 10cm is placed on a nail, then the momen...

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