Question

A mass m is suspended by a massless spring of spring constant k. The suspension point is pulled
upwards with constant acceleration a0. Find the Hamiltonian of the system, Hamilton’s equations of
motion and the equation of motion.

Answer 1

Explanation:

From formula 1, we can say

T=2π

k

M

...(1)

Also,

3

5T

=2π

k

M+m

...(2)

Dividing eqn 2 and 1, we get

3

5

=

M

M+m

∴

9

25

=

M

M+m

∴

9

25

=1+

M

m

Hence, answer=16/9, i.e. option B