There is a hypothetical cricket match going on in kolkata between India vs Australia. Presently there is a spinner of height 2 metre bowling first ball of the over to a right hander.He is bowling a leg stump line, his ball deceives the batsmen and he gets bowled.
In the xyz,co-ordinate space consider the pitch to be the region
Consider stumps to be the lines
The ball is released from the point with a velocity m/s, also given an angular velocity of .
The question is simple, if the maximum value of , for which the batsmen can get bowled is rad/s where are integers, are co-prime, is not divisible by any square prime number then find .
Details and Assumptions
1) Assume ball a solid sphere of radius .Consider the pitch to be sufficiently rough and the collision to be elastic.
2) All the co-ordinates are given in metres.
3) If in the trajectory of the ball it is hitting the stumps, consider the batsmen bowled.
4) Consider it as a point mass while calculating it's trajectory