Fuzzy dice

Classical Mechanics Level 2

A pair of fuzzy dice are hanging by a string in my car from the rear-view mirror. I hit the gas pedal, and while I accelerate the fuzzy dice no longer hang straight down, but instead make an angle of \(\theta=15^\circ\) with respect to the vertical. How fast am I accelerating in \(\mbox{m/s}^2\)?

Details and assumptions

  • The acceleration of gravity is \(-9.8~\mbox{m/s}^2\).
  • Treat the fuzzy dice as point masses.

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