A ball of mass \( m \) is attached to a cord of length \( L \), pivoted at point \( O \), as shown in figure. The ball is released from rest at point \( A \), swings down and makes an inelastic collision with a block of mass \( 2 \mathrm{~m} \) kept on a rough horizontal floor. The coefficient of restitution of collision is \( e=2 / 3 \) and coefficient of friction between block and surface is \( \mu \). After collision, the ball comes momentarily to rest at \( C \) when cord makes an angle of \( \theta \) with the vertical and block moves a distance of \( 3 L / 2 \) on rough horizontal floor before stopping. The values of \( \mu \) and \( \theta \) are, respectively,
(1) \( \frac{50}{243}, \cos ^{-1}\left(\frac{80}{81}\right) \)
(2) \( \frac{50}{81}, \cos ^{-1}\left(\frac{80}{81}\right) \)
(3) \( \frac{2}{81}, \cos ^{-1}\left(\frac{80}{243}\right) \)
(4) \( \frac{2}{243}, \cos ^{-1}\left(\frac{80}{243}\right) \)
ЁЯУ▓PW App Link - https://bit.ly/YTAI_PWAP
ЁЯМРPW Website - https://www.pw.live
0