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A uniform solid cylinder rolls without slipping down an inclined rough plane of inclination 45°. Starting from rest at the top, the linear acceleration of the cylinder's axis is

Asked in JEE Main 24th Jan 1st Shift 2025 · Rolling on an incline

Answer: (3) (√2 g)/3

Step-by-step solution

For a rolling solid cylinder, a=(g sin θ)/(1+I/(MR²))=(g sin θ)/(1+1/2)=2/3g sin θ.

At 45°: a=2/3 g·1/(√2)=(√2 g)/3.

Why the other options are wrong

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