14. let a bead slides on a wire in the shape of cycloid described by equations x a( sin 0) ya(l + cos 0) where 0 s 0 s 2t neglect friction between the bead and

14. Let a bead slides on a wire in the shape of cycloid described by equations x a( sin 0) ya(l + cos 0) where 0 S 0 s 2T Neglect friction between the bead and the wire (A) The kinetic energy of the bead is ma'o(1-cos0) (B) The potential energy of the bead is mga (1 + cos 0) C)The Lagrangian is ma 6 (1-cos 0)- mga(d+ cos 0) (D) The lagrangian equation of motion is éd- cos 8)+sin g0e- sin0=0 2a