A small ball of mass `m` collides with as rough wall having coefficient of friction `mu` at an angle `theta` with the normal to the wall. If after collision the ball moves with angle `alpha` with the normal to the wall and the coefficient of restitution is `e`, then find the reflected velocity `v` of the ball just after collision.
Text Solution
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`mvcosalpha-[m(-ucostheta)]=intNdt` `mvsinalpha-musintheta=-muint Ndt` `and e=(vcosalpha)/(ucostheta)impliesvcosalpha=eucostheta`……….i `or mvsinalpha-musintheta-mu(mvcosalpha+mucostheta)`……….ii `From eqn i and ii v=u/(sinalpha)[sintheta-mucostheta(e+1)]`
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