Rational Solver
0 votes
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. $\frac{m}{2} \dot{q}^{2}+\frac{k}{2}\left(q-v_{0} t\right)^{2}$
in Differential Equation by Expert (2.4k points) | 13.4k views

Please log in or register to answer this question.

Welcome to Rational Solver, where you can ask questions and receive answers from other members of the community.
51 questions
10 answers
1 comment
1,801 users