Student Login

Home›Chapters›Oscillations PYQs›Velocity & Acceleration in SHM›Question 40

MHT CET 2023 (12 May, Shift 1) · Velocity & Acceleration in SHM

Velocity & Acceleration in SHM question from MHT CET 2023 (12 May, Shift 1)

Q40MHT CET 2023 · 12 MAY · SHIFT 1Easy

Velocity & Acceleration in SHM

A simple pendulum performs simple harmonic motion about $x = 0$ with an amplitude ' $a$ ' and time period ' $T$ '. The speed of the pendulum at $x = \frac{a}{2}$ is

Show answer and solution

Answer: (c)

$v = \omega\sqrt{a^2 - x^2}$ with $\omega = \frac{2\pi}{T}$
$\sqrt{a^2 - \frac{a^2}{4}} = \frac{\sqrt{3}a}{2}$
$v = \frac{2\pi}{T}\cdot\frac{\sqrt{3}a}{2} = \frac{\pi a\sqrt{3}}{T}$
So the answer is (c) $\frac{\pi a\sqrt{3}}{T}$ .

Report a mistake

More questions on Velocity & Acceleration in SHM

The maximum velocity of a particle performing S.H.M. is ' V '. If the periodic time is…MHT CET 2023 (9 May, Shift 1)
The velocity of a particle executing SHM varies with displacement (x) as 4v² = 50 - x²…JEE Main 2023 (30 Jan, Shift 2)
A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple…JEE Main 2023 (10 Apr, Shift 2)
A particle of mass 250 g executes a simple harmonic motion under a periodic force F =…JEE Main 2023 (29 Jan, Shift 2)
The x-t graph of a particle performing simple harmonic motion is shown in the figure. The…NEET 2023
A block of mass ' M ' rests on a piston executing S.H.M. of period one second. The…MHT CET 2023 (14 May, Shift 2)
The equation of a particle executing simple harmonic motion is given by x = sin π(t +…JEE Main 2022 (27 Jun, Shift 2)
A particle executing SHM has its velocity 20 cm s⁻¹ at mean position and acceleration of…JEE Main 2022 (30 Jul, Shift 2)