Question 11.7: A nonconservative holonomic system having two degrees of fre...
A nonconservative holonomic system having two degrees of freedom with generalized coordinates \left(q_1, q_2\right) and corresponding generalized forces Q_1^N=-m b^2 v \dot{q}_1, Q_2^N=0, has a Lagrangian function
L=\frac{1}{2} m a^2 \sin ^2 q_1 + m b^2\left(\dot{q}_2 + \frac{a}{b} \cos q_1\right)^2 + \frac{1}{2} m b^2\left(\dot{q}_1 + c\right)^2, (11.48a)
in which a, b, c, and m are constants. Derive the Lagrange equations.
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