Number 12.38 Please help me 12.36. Write Hamilton's equations for a point 12.37. Two masses m, and

Number 12.38 Please help me

Transcribed Image Text:

12.36. Write Hamilton's equations for a point 12.37. Two masses m, and m2 are attached to the ends of a massless spring of spring constant.k and re- lared length lo. The system oscillates and rotates in a plane but moves freely through space. (a) Find the number of degrees of freedom. (b) Derive Hamilton's equations. (c) Identify the cyclic coordinates and statc the corresponding conservation laws. 12.38. Derive Hamilton's equations for the oscillating pendulum in Problem 12.1(b) (mass-spring pendulum). ntral isotmpic force. Using plane polar coordinates, compare 12.36. Write Hamilton's equations for a point 12.37. Two masses m, and m2 are attached to the ends of a massless spring of spring constant.k and re- lared length lo. The system oscillates and rotates in a plane but moves freely through space. (a) Find the number of degrees of freedom. (b) Derive Hamilton's equations. (c) Identify the cyclic coordinates and statc the corresponding conservation laws. 12.38. Derive Hamilton's equations for the oscillating pendulum in Problem 12.1(b) (mass-spring pendulum). ntral isotmpic force. Using plane polar coordinates, compare