A body having mass 5 g is executing S.H.M. with an amplitude of 0.3 m. If the periodic time of

Step 1: We are given that a body of mass $m = 5g = 5 times 10^{-3} kg$ is executing simple harmo

A body having mass 5 g is executing S.H.M. with an...

A body having mass $5 \mathrm{~g}$ is executing S.H.M. with an amplitude of $0.3 \mathrm{~m}$. If the periodic time of the system is $(\pi / 10) \mathrm{s}$, then the maximum force acting on body is $\ldots \ldots \ldots \ldots$ (A) $0.6 \mathrm{~N}$ (B) $0.3 \mathrm{~N}$ (C) $6 \mathrm{~N}$ (D) $3 \mathrm{~N}$

A body having mass $5 \mathrm{~g}$ is executing S.H.M. with an amplitude of $0.3 \mathrm{~m}$. If the periodic time of the system is $(\pi / 10) \mathrm{s}$, then the maximum force acting on body is $\ldots \ldots \ldots \ldots$
(A) $0.6 \mathrm{~N}$
(B) $0.3 \mathrm{~N}$
(C) $6 \mathrm{~N}$
(D) $3 \mathrm{~N}$

Key Concepts

Simple Harmonic Motion

Simple Harmonic Motion (SHM) is a type of periodic oscillatory motion in which the restoring force is directly proportional to the displacement from the equilibrium position and acts in the opposite direction. This concept underpins systems ranging from springs to pendulums, and it is characterized by sinusoidal oscillations.

Angular Frequency

Angular frequency, denoted by ?, is a measure of how many radians per second the system oscillates. It is related to the period of the motion by the equation ? = 2?/T. Angular frequency is crucial for relating time-based characteristics of oscillatory motion to the system’s dynamics.

Amplitude

Amplitude is the maximum displacement from the equilibrium position in an oscillatory motion. It quantifies the extent of oscillation and is a key factor in determining various dynamic properties such as energy and maximum acceleration in Simple Harmonic Motion.

Maximum Restoring Force

In systems undergoing Simple Harmonic Motion, the restoring force reaches its maximum magnitude when the displacement is equal to the amplitude. This maximum force can be calculated using the relation F_max = m?²A, directly linking mass, angular frequency, and amplitude to the force experienced during oscillation.

Unit Conversion

Unit conversion is an essential step when working with physical quantities in SI units. For instance, mass must be converted into kilograms to ensure that the calculations using Newton’s second law in the SI system yield force in newtons.

Please give Ace some feedback