Is K2 Positive in the Spring Mass Damper State Space Equations?

[z_e_u_s]

I'm sorry that post my problem picture, there is a reason that our lecturer doesn't allow this,
he can find this problem using keyword included in question.

the problem is i want to write state space equations also output. the sate variables x1 v1 and theta

dynamic equation for mass

i want to konw this equation is true or not?

 

[tiny-tim]

welcome to pf!

hi z_e_u_s! welcome to pf!

… there is a reason that our lecturer doesn't allow this,
he can find this problem using keyword included in question.

sorry, but on this forum you need to do the work yourself

show us what you've tried, and where you're stuck, and then we'll know how to help! ​

 

[z_e_u_s]

yes i tried but homework has one question and 18 parts
the other parts related with first part.
i try to use lagrange method and equations doesn't fit the sate space...

 

[z_e_u_s]

i stuck in that equation

is this dynamic equation for mass

or K2springs tensile force be positive not negative?

 

[henlus]

K2 should be positive

 

[z_e_u_s]

K2 should be positive

Are you sure the all forces are positive then equals to zero...