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A solid sphere and a hollow sphere of identical mass M and radius R roll down an incline of angle θ without slipping. Which sphere reaches the bottom first?
Acceleration down an incline is a = g sinθ / (1 + I / MR²). Because Isolid = 0.4 MR² while Ihollow = 0.67 MR², the solid sphere experiences higher linear acceleration and finishes first.
⚡ 15s Exam Tip: Lower rotational inertia always wins rolling races.
Find the derivative of f(x) = sin(x) * ln(x)
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