Too many variables

Classical Mechanics Level 3

An iron ball of mass m m , suspended by a light inextensible string of length l l from a fixed point O O , is shifted by angle θ 0 \theta_0 to strike a vertical wall perpendicularly. What is the maximum angle made by the string with vertical after the first collision (if e e is the coefficient of restitution)?

cos ⁡ − 1 ( 1 − e 2 ( 1 − cos ⁡ θ 0 ) ) \cos^{-1} (1 - e^2 (1 - \cos \theta_0)) tan ⁡ − 1 ( 1 − e 2 ( 1 − cos ⁡ θ 0 ) ) \tan^{-1} (1 - e^2 (1 - \cos \theta_0)) 0 0 sin ⁡ − 1 ( 1 − e 2 ( 1 − cos ⁡ θ 0 ) ) \sin^{-1} (1 - e^2 (1 - \cos \theta_0))

Sharky Kesa by Sharky Kesa , 19, United Kingdom

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