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Asked in JEE Main 29th Jan 1st Shift 2023 · Banked roads and the conical pendulum
Idea: on a flat bend, friction alone supplies the centripetal force, so vₘₐₓ=√μ g r.
(mv²)/r≤μ mg gives, after the mass cancels,
vₘₐₓ=√μ gr=√0.34×10×50=√170
vₘₐₓ≈13 m s⁻¹.
About 47 km/h — modest, which is exactly why real bends are banked rather than left flat.
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