Suppose a point mass m is attached to one end of a spring of spring constant k. The other end of the spring is fixed on a massless cart that is being moved uniformly on a horizontal plane by an external device with speed \(v_0\). If the position q of the mass in the stationary system is taken as the generalized coordinate, then the Lagrangian of the system is
1
\(\frac{m}{2} \dot{q}^2-\frac{k}{2}\left(q-v_0 t\right)\)
2
\(\frac{m}{2} \dot{q}^2-\frac{k}{2}\left(q-v_0 t\right)^2\)
3
\(\frac{m}{2} \dot{q}^2+\frac{k}{2}\left(q-v_0 t\right)\)
4
\(\frac{m}{2} \dot{q}^2+\frac{k}{2}\left(q-v_0 t\right)^2\)
5
Question Not Attempted