Find the ratio of acceleration of a solid sphere rolling without slipping down incline angle θ to that of the same sphere slipping down the frictionless incline without rotation.
Options

Question

Find the ratio of acceleration of a solid sphere rolling without slipping down incline angle θ to that of the same sphere slipping down the frictionless incline without rotation.

G1 Physics · Accepted Answer

Step 1: Rolling acceleration is g sinθ/(1+2/5)=(5/7)g sinθ. Step 2: Pure sliding without rolling gives g sinθ. Step 3: Ratio is 5:7. Final answer: A — 5:7.