(1) A particle of mass m moves on a plane in the field of force given by
F=-r^krcos e
Where k is constant and f is the radial unit vector. Will the
angular momentum of the particle about the origin be conserved ?
Justify your statement.
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Answer: yes, angular momentum is conserved ABOUT origin.
Explanation:
The force is always directed towards the origin or away from the origin. that's the meaning of r^[r cap].
Since the force is always directed towards the origin. The torque produced by that force field ABOUT origin is ZERO.
No external torque about a point mean angular momentum is conserved about that point(here it's origin)
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