SHM JEE Mains Questions
1. A damped harmonic oscillator has a frequency of 5 oscillations per second. For every 10 oscillations, the amplitude of the oscillator drops to half. Find the time taken to drop the amplitude to 1/1000 of the original value.
2. If the length of a simple pendulum in SHM is increased by 21% then what is the percentage increase in the time period of the pendulum of the increased length
3. It is given that the ratio of maximum acceleration to maximum velocity in a SHM is 10 second-1 and at t = 0, the displacement is 5 m. What is the maximum acceleartion? Given that the initial phase is π/4
4. If a child is swinging in a sitting position and then he stands up, then how the time period of the swing will be affected.
5. The displacement of a particle in simple harmonic motion is given b y x(t) = Asin(πt/90). Find the ratio of kinetic energy to the potential energy at t = 210 seconds
Simple Harmonic Motion
Simple Harmonic Motion is a fundament concept in the study of motion, especially oscillatory motion; which helps us understand many physical phenomena around like how strings produce pleasing sounds in a musical instrument such as the sitar, guitar, violin, etc., and also, how vibrations in the membrane in drums and diaphragms in telephone and speaker system creates the precise sound. Understanding Simple Harmonic Motion is key to understanding these phenomena.
In this article, we will grasp the concept of Simple Harmonic Motion (SHM), its examples in real life, the equation, and how it is different from periodic motion.
Table of Content
- SHM Definition
- Types of Simple Harmonic Motion
- Equations for Simple Harmonic Motion
- Solutions of Differential Equations of SHM
- SHM JEE Mains Questions