So Much Tension!

Classical Mechanics Level 5

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 \(x\).


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