A pendulum bob hangs from a trolley rolling down a smooth incline of angle α with acceleration a₀. In equilibrium relative to the trolley, its angle θ from vertical satisfies:

Question

G1 Physics · Accepted Answer

In the trolley frame, resolve gravity and the pseudo force opposite the trolley acceleration. The horizontal-to-vertical effective-gravity ratio gives tanθ=(g sinα+a₀)/(g cosα). Option B.