(A) The maximum acceleration $a_{max}$ of a particle executing $S.H.M.$ is given by the formula $a_{max} = A\omega^2$.Here,$A = 0.01 \, m$ is the ampl

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) The maximum acceleration $a_{max}$ of a particle executing $S.H.M.$ is given by the formula $a_{max} = A\omega^2$.Here,$A = 0.01 \, m$ is the amplitude and $n = 60 \, Hz$ is the frequency.Since $\omega = 2\pi n$,we have $\omega^2 = 4\pi^2 n^2$.Substituting the values: $a_{max} = 0.01 \times 4\pi^2 \times (60)^2$.$a_{max} = 0.01 \times 4\pi^2 \times 3600$.$a_{max} = 144\pi^2 \, m/s^2$.

Class 11 Physics Oscillations Acceleration and Force of Simple Harmonic Motion

Medium

The amplitude of a particle executing $S.H.M.$ with a frequency of $60 \, Hz$ is $0.01 \, m$. The maximum value of the acceleration of the particle is

A
$144\pi^2 \, m/s^2$
B
$144 \, m/s^2$
C
$\frac{144}{\pi^2} \, m/s^2$
D
$288\pi^2 \, m/s^2$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Oscillations

Subtopic

Acceleration and Force of Simple Harmonic Motion

The $x-t$ graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at $t=2 \ s$ is:

MediumNEET 2023

View Solution

The variation of the acceleration $a$ of a particle executing $S.H.M.$ with displacement $x$ is as shown in the figure. Which of the following graphs correctly represents this relationship?

Easy

View Solution

The acceleration $a$ of a particle undergoing $S.H.M.$ is shown in the figure. Which of the labelled points corresponds to the particle being at $-x_{max}$?

Easy

View Solution

$A$ small body of mass $0.10 \, kg$ is executing $S.H.M.$ of amplitude $1.0 \, m$ and period $0.20 \, s$. The maximum force acting on it is .... $N$.

Medium

View Solution

Obtain the force law for $SHM$ from the displacement of $SHM$ particle.

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The amplitude of a particle executing $S.H.M.$ with a frequency of $60 \, Hz$ is $0.01 \, m$. The maximum value of the acceleration of the particle is

Similar Questions

The $x-t$ graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at $t=2 \ s$ is:

The variation of the acceleration $a$ of a particle executing $S.H.M.$ with displacement $x$ is as shown in the figure. Which of the following graphs correctly represents this relationship?

The acceleration $a$ of a particle undergoing $S.H.M.$ is shown in the figure. Which of the labelled points corresponds to the particle being at $-x_{max}$?

$A$ small body of mass $0.10 \, kg$ is executing $S.H.M.$ of amplitude $1.0 \, m$ and period $0.20 \, s$. The maximum force acting on it is .... $N$.

Obtain the force law for $SHM$ from the displacement of $SHM$ particle.

Vedclass Test Series

Exam Paper Generator

Online Exam Module