A solid sphere, thin disc and solid cylinder of equal mass and radius start from rest and roll without slipping down the same incline. Which reaches bottom first?
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A solid sphere, thin disc and solid cylinder of equal mass and radius start from rest and roll without slipping down the same incline. Which reaches bottom first?

G1 Physics · Accepted Answer

Step 1: The rolling acceleration is g sinθ/(1+I/(MR²)). Step 2: Sphere factor 2/5 is smaller than the disc and cylinder factor 1/2, so the sphere accelerates fastest. Final answer: A — solid sphere.