Question

Consider a simple mass spring friction system as given in the figure K1, K2 are spring constants f-friction, M-Mass, F-Force, x-Displacement. The transfer function X(s)/F(s) of the given system will be :

(a) 1/(Ms^2+fs+K1.K2)

(b) 1/(Ms^2+fs+K1+K2)

(c) 1/(Ms^2+fs+K1.K2/K1+K2)

(d) K2/(Ms^2+fs+K1)

I have been asked this question in an online quiz.

My query is from Differential Equations of Physical Systems and Dynamics of Robotic Mechanisms topic in portion Mathematical Models of Physical Systems of Control Systems

Answer 1

Correct choice is (b) 1/(Ms^2+fs+K1+K2)

Easiest explanation: Force balance equations are formed where force from both the springs will be balanced by the mass system.