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A particle of mass 'm' is moving in the ...

A particle of mass 'm' is moving in the x-y plane such that its x and y coordinate vary according to the law x= a sin `omegat` and y= a cos `omegat` where 'a' and 'omega' are positive constants and 't' is time. Find
(a) equation of the path. Name the trajectory (path).
(b) whether the particle moves in clockwise or anticlockwise direction
(c) magnitude of the force on the particle at any time t.

Text Solution

Verified by Experts

The correct Answer is:
(a) `x^(2)+y^(2)=a^(2)("circle")`
(b) Clockwise
(c) m`omega^(2)` a
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