# So Much Tension!

A pendulum is hanged from the ceiling of a car, such that initially both the car and pendulum are at rest with respect to the ground.

Then the car starts accelerating rightward on a perfectly horizontal surface, with an acceleration $$a=\frac{g}{\sqrt{3}}$$.

$$g$$ is the acceleration due to gravity.

If $$r$$ is the ratio of maximum to minimum tension in the string of the pendulum, measured during one oscillation of the pendulum, find the value of $$[100r]$$.

$$[x]$$ is the value of the greatest integer less than or equal to $$x$$.

×