In $\mathrm{P}^{\text {th }}$ second, a particle describes angular displacement of ' $\beta$ ' rad. If it…

In $\mathrm{P}^{\text {th }}$ second, a particle describes angular displacement of ' $\beta$ ' rad. If it starts from rest, the angular acceleration is
  1. $\frac{\beta}{P}$
  2. $\frac{\beta}{(P-1)}$
  3. $\frac{2 \beta}{(2 P-1)}$
  4. $\frac{(2 \beta+1)}{(2 \mathrm{P}-1)}$

Solution

The equation for the angular displacement of the particle that starts from rest is given as: $\beta=0+\frac{1}{2} \alpha(2 \mathrm{P}-1)$ $\therefore \quad$ The angular acceleration of the particle is $\alpha=\frac{2 \beta}{(2 \mathrm{P}-1)}$

Asked in: MHT CET 2023 (12 May Shift 2)

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