A disc at rest is subjected to a uniform angular acceleration about its axis. Let θ and θ₁ be the angle made by the disc in 2 nd and 3 rd second of its motion. The ratio (θ)/(θ₁) is (a) 2: 3 (b) 1: 2 (c) 2: 3 (d) 4: 5

Answer: (d). From rest, angle turned in the n th second: θn = (α)/(2)(2n - 1) 2nd second: θ = (3α)/(2); 3rd second: θ₁ = (5α)/(2) (θ)/(θ₁) = 3/5 So the ratio is 3: 5, which is not among the options.

A disc at rest is subjected to a uniform angular acceleration about… | MHT CET 2024 (9 May, Shift 2)

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Non-Uniform Circular Motion

A disc at rest is subjected to a uniform angular acceleration about its axis. Let $\theta$ and $\theta_1$ be the angle made by the disc in $2$ nd and $3$ rd second of its motion. The ratio $\frac{\theta}{\theta_1}$ is

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Answer: (d)

From rest, angle turned in the $n$ th second: $\theta_n = \frac{\alpha}{2}(2n - 1)$
2nd second: $\theta = \frac{3\alpha}{2}$ ; 3rd second: $\theta_1 = \frac{5\alpha}{2}$
$\frac{\theta}{\theta_1} = \frac{3}{5}$
So the ratio is $3 : 5$ , which is not among the options.

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Non-Uniform Circular Motion question from MHT CET 2024 (9 May, Shift 2)

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