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A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. If this particle were projected with the same speed at an angle θ to the horizontal, the maximum height attained by it is 4R. The angle of projection, θ is then given by :
Asked by roshnibhati921 | 03 Nov, 2023, 01:15: PM
If the particle is moving with uniform speed in a circle of radius R
and it takes time T to complete one revolution ,then uniform speed u is

................................... (1)

If the particle is projected with speed u at angle θ , then maximum height H reached
by particle is

............................(2)
By substituting H = 4R , and  velocitiy u from eqn.(1) , we get

From above expression , we get

Answered by Thiyagarajan K | 03 Nov, 2023, 02:35: PM
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