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A particle is projected with angle ‘theta’ in such a way that it grazes past a circle with radius r two times symmetrically. Calculate Vmin for this to happen. Thanks! :-)

A particle is projected with angle ‘theta’ in such a way that it grazes past a circle with radius r two times symmetrically. Calculate Vmin for this to happen.
 
Thanks! :-)

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2 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
9 years ago
Hello Student,
We have to make sure that range of the particle project is just enough to cross the ball.
=> Range = (R+Rcot\theta)*2
=>2*v sin\theta*vcos\theta/g = (R+Rcot\theta)*2
=>v^2sin\theta*cos\theta=R(1+cot\theta)
=>v^2=R(1+cot\theta)/sin\theta*cos\theta
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
Abhinav Nain
29 Points
9 years ago
Thank you very much sir!

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