A particle executing SHM has its velocity 20 cm s⁻¹ at mean position and acceleration of 25 cm s⁻² at one of its extreme position. The amplitude of the particle will be ____ cm. Numerical answer type. Work it out, then open the answer.

Answer: 16. vmax = Aω = 20 cm/s and amax = Aω² = 25 cm/s² ω = 25/20 = 1.25 rad/s A = (20)/(1.25) = 16 cm

A particle executing SHM has its velocity 20 cm s⁻¹ at mean position… | JEE Main 2022 (30 Jul, Shift 2)

Q48JEE Main 2022 · 30 JUL · SHIFT 2Easy

Velocity & Acceleration in SHM

A particle executing SHM has its velocity $20\text{ cm s}^{-1}$ at mean position and acceleration of $25\text{ cm s}^{-2}$ at one of its extreme position. The amplitude of the particle will be ____ cm.

Numerical answer type. Work it out, then open the answer.

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Answer: 16

$v_{max} = A\omega = 20$ cm/s and $a_{max} = A\omega^2 = 25\ \text{cm/s}^2$
$\omega = \frac{25}{20} = 1.25$ rad/s
$A = \frac{20}{1.25} = 16$ cm

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Velocity & Acceleration in SHM question from JEE Main 2022 (30 Jul, Shift 2)

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