5. A simple pendulum is placed in a car that has a constant acceleration a. Set up the Lagrangian equation of motion and find the period of its small oscillations.

answer is this please solve in detail

$L = \frac{1}{2} m (a t + l \overset{?}{?} cos ?)^{2} + \frac{1}{2} m (l \overset{?}{?} sin ?)^{2} + m g l cos ? T = 2 ? \frac{l}{g ^{2} + a ^{2}}$

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5. A simple pendulum is placed in a car that has a constant acceleration a. Set up the Lagrangian equation of motion and find the period of its small oscillations.

answer is this please solve in detail

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L = \frac{1}{2} m (a t + l \overset{?}{?} cos ?)^{2} + \frac{1}{2} m (l \overset{?}{?} sin ?)^{2} + m g l cos ? T = 2 ? \frac{l}{g ^{2} + a ^{2}}

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