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A unit mass at position vector vecr=(3ha...

A unit mass at position vector `vecr=(3hati+hatj)` is moving with velocity `vecv=(5hati-6hatj)`. What is the angular momentum of the body about the origin?

A

`2` units along the `z`-axis

B

`38` units along the `x`-axis

C

`38` units along the `y`-axis

D

`38` units along the `z`-axis

Text Solution

Verified by Experts

`vecl=vecrxxvecp=` `|[hati,hatj,hatk],[3,4,0],[5,-6,0]|` `=-38hatk`
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CP SINGH-ROTATIONAL MOTION-Exercise
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  2. The position of a particle is given by vecr=(hati+2hatj-hatk) and mome...

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  3. A unit mass at position vector vecr=(3hati+hatj) is moving with veloci...

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  4. A mass M moving with a constant velocity parlale to the X-axis. Its an...

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  5. If the particle of mass m is moving with constant velocity v parallel ...

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  8. A particle of mass m is projected with a velocity v making an angle of...

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  9. A small particle of mass m is projected at an angle theta with the x...

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  10. A particle performing uniform circular motion gas angular momentum L. ...

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  12. If the angular momentum of any rotating body increases by 200%, then t...

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  13. A particle of mass m is moving in a plane along a circular path of rad...

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  14. The angular momentum of a system of particles is conserved

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  15. Angular momentum of the particle rotating with a central force is cons...

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  16. A thin circular ring of mass M and radius r is rotating about its axis...

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  17. A solid sphere is rotating about a diameter at an angular velocity ome...

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  18. If radius of the earth contracts to half of its present value without ...

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