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PHY-1109 Physics
Simple Harmonic Motion (SHM) Fundamentals
| Question | Year(s) of Appearance |
|---|---|
| Explain simple harmonic motion and discuss its oscillatory behavior. | 2016, 2023 |
| What is simple harmonic motion (SHM)? Show graphical representation of the SHM. | 2017, 2022 |
| Derive differential equation of SHM. | 2017 |
| What is simple harmonic motion? Show that the simple harmonic motion is an oscillatory motion in terms of velocity, displacement and acceleration. | 2018, 2021 |
| Define Simple Harmonic Motion. Derive the differential equation for SHM and show that its solution is of the form . | 2024, 2024(becm) |
| What do you mean by simple harmonic motion? Show in tabular form and graphically that simple harmonic motion is an oscillatory motion in terms of displacement velocity and acceleration. | 2022 |
| Discuss some basic characteristics of Simple Harmonic Motion. Derive the differential equation of a SHM and find out it’s general solution when a particle execute SHM. | 2024(becm) |
SHM Energy, Superposition, and Calculations
| Question | Year(s) of Appearance |
|---|---|
| Show that the total energy of a particle executing simple harmonic motion is constant. | 2016 |
| Two SHM’s acting simultaneously on a particle are given by the equation. and . Calculate (i) amplitude (ii) phase constant (iii) time period of the resultant vibration. | 2016 |
| Two SHM , . Determine (i) amplitude, (ii) phase constant, (iii) time period of the resultant vibration. Construct the equation. | 2024(becm), 2024 |
| What is superposition principle? Show that superposition principle is valid only in case of linear homogeneous equation. | 2018, 2019, 2020, 2021, 2024(becm) |
| Derive an expression for energy of vibration of a vibrating system. | 2021 |
| A particle is moving simple harmonically… velocities and at and … show that the period is given by . Find also its maximum velocity and amplitude. | 2017 |
| A SHM is presented by . Calculate the frequency, epoch, maximum displacement, velocity and acceleration at and seconds. | 2018 |
| Body vibrating with SHM of amplitude 15 cm and frequency 4 Hz. Determine maximum velocity/acceleration/speed when body is 9 cm from equilibrium. | 2021 |
| Force , displacement . Calculate the work done in 30 seconds and in 5 minutes. | 2019 |
| Force , displacement . Calculate the work done by the excitation force in (i) 30 seconds and (ii) 5 minutes. | 2020 |
| Force , displacement . Calculate the work done by the excitation force in (i) 12 minutes and (ii) one day. | 2022 |
| What are Lissajous figures? Derive an expression for two simple harmonic vibrations of equal time periods acting at right angles. Discuss when the phase difference and . | 2022, 2024, 2020 |
| Draw the Lissajous’ figure using the following equations: and . | 2017 |
| Two SHM , . Obtain the general equation of resultant vibration. Draw the Lissajous figures for and . | 2018 |
Subtopic C: Damped and Forced Oscillations / Resonance
| Question | Year(s) |
|---|---|
| Defination: damped oscillation | 17-21 |
| Derive power dissipation in a damped SHO. | 2017, 2020 |
| Under-damped oscillator: amplitude → after 100 oscillations, . Find (i) damping constant & relaxation time, (ii) amplitude without damping. | 2017, 2020 |
| what is damped oscillation. Write forces, construct & solve the DE, obtain critical damping condition. | 2018 |
| Obtain displacement for an LCR circuit. Discuss the effect of critical damping. | 2023 |
| Is the discharge oscillatory? . If yes, find frequency. | 2023 |
| Describe the term Quality factor. Derive energy loss per cycle in a damped oscillator. | 2024 |
| Construct displacement for damped motion. | 2024 |