Essays on Harmonic Motion

Abstract— Faraday's Law is used to estimate the magnetic field of the magnet from the maximum induced voltage. This paper presents the report of the experiment on Faraday’s Law of induction. In this experiment Faraday's Law and Lenz's Law are examined, along with the concepts of magnetic flux and conservation of energy. The experiment was carried out by using a wand having a coil at its end. This coil is made to swing through the magnetic field of a horse magnet. The induced EMF stated by Faraday and the reason for the minus sign added to it by Lenz has been ...

Introduction

A pendulum consists of a bob or point mass which is suspended from a light string tied at one end to a pivot point. The string is assumed to have negligible mass.1 If the point mass of the pendulum is pulled to a small angle from vertical plane and released, it will swing back-and-forth at a regular period and frequency. Time taken by the pendulum to make one full back-and-forth swing is termed as period of a pendulum. If the amplitude of motion or swing is small, motion of a simple pendulum is like simple harmonic motion and can be approximated by

Above equation is used ...

Oscillatory Motion

Introduction The purpose of the experiment was to evaluate the spring constant of a spring connected to mass and to determine the effect of varying mass on the period of oscillation. It was hypothesized that the increase in mass would lead to increase in the period of the oscillating spring.

Theory

Hooke’s Law According to Hooke’s law, the restoring force (F) of a stretched spring is proportional to its extension (x) (Mansfield and Colm, 39). F ∞ x F = - k x

Where F is the restoring force, x is the extension and k is a constant of proportionality called spring constant.

The negative sign indicate that the direction of restoring force is opposite that of extension. ...

TORSION LABORATORY

Objective The objective of this experiment was to determine the relationship between load and angular deflection of a mild steel bar, the maximum shear stress applied to the bar and its modulus of rigidity.

Apparatus

- Torsion test rig - Weight hangers - Masses - Rule - Calipers

Procedure

- A distance L was set between two angle indicators. Then the fixings were tightened to make sure that it was not moving. The indicators were set to zero on both the scales. - The effective radius of the pulley and the diameter of the steel shaft ...

Introduction

Perturbation method and method of strained coordinates is usually not in a position of computing standard legitimate expansions in cases, in which steep changes in dependent variables occurs in particular sections of the domain of the independent variables. In such occurrences, simple expansions are used to simplify such section, and strained coordinates that are almost similar to them are not able to handle the steep changes. In order to acquire standardized legitimate expansions, one must acknowledge and embrace the fact that the steep changes are featured by the magnified scales, which are distinct from the scale featuring the behavior of ...