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Statement of a problem № 3263

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The angular momentum of a particle of a point varies with time as J = at^2i+bj, where a and b are constants. When the angle between the torque about the point and the angular momentum is 45°, show that the magnitude of the torque and angular momentum will be 2sqrt(ab) and sqrt(2b), respectively.

Solution:
The angular momentum of a particle of a point varies with time as J = at^2i+bj,

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