A mass 0.4 kg performs S.H.M. with a frequency 16/π Hz. At a certain displacement it has kinetic energy 2 J and potential energy 1.2 J. The amplitude of oscillation is (a) 0.15 m (b) 0.125 m (c) 0.075 m (d) 0.1 m

Answer: (b). ω = 2π × 16/π = 32 rad/s E = 2 + 1.2 = 3.2 J 3.2 = 1/2(0.4)(32)²A² = 204.8A² ⇒ A² = 0.015625 A = 0.125 m So the answer is (b) 0.125 m.

A mass 0.4 kg performs S.H.M. with a frequency 16/π Hz. At a certain… | MHT CET 2021 (22 Sep, Shift 1)

Q60MHT CET 2021 · 22 SEP · SHIFT 1Medium

Energy in SHM

A mass $0.4\text{ kg}$ performs S.H.M. with a frequency $\frac{16}{\pi}\text{ Hz}$ . At a certain displacement it has kinetic energy $2\text{ J}$ and potential energy $1.2\text{ J}$ . The amplitude of oscillation is

Show answer and solution

Answer: (b)

$\omega = 2\pi \times \frac{16}{\pi} = 32$ rad/s
$E = 2 + 1.2 = 3.2$ J
$3.2 = \frac{1}{2}(0.4)(32)^2A^2 = 204.8A^2 \Rightarrow A^2 = 0.015625$
$A = 0.125$ m
So the answer is (b) 0.125 m.

Report a mistake

Energy in SHM question from MHT CET 2021 (22 Sep, Shift 1)

More questions on Energy in SHM