Differential Eq. for Spring-Mass System on Seesaw: Case 1 & 2

[Tahir Mushtaq]

case 1: Seesaw is balanced with its fulcrum point or pivotal point. At one end of seesaw, the spring (with spring constant K1) is attached. Now the seesaw has total mass M which is attached to spring, form a spring-mass system. I confuse on this point that the oscillation of seesaw will be around pivotal point. Then what is differential equation of spring-mass system.

case 2: The same case with both ends of Seesaw is attached with springs having spring constant K1 and K2. Then what is differential equation of this system.

 

[Bacat]

1) What equations would be relevant to this problem?

2) What have you tried to do to solve it so far?

3) Hint: Can you derive an Equation of Motion for a simple mass-spring system (without a seesaw)? If so, can you consider the motion of the seesaw with the mass-spring system as a superposition of simple harmonic motion?

I cannot visualize your seesaw-spring system. If you can describe it better (or link to a picture), maybe I can help more.