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Engineering Mechanics / August 28, 2021

Motion Under Variable Acceleration

INTRODUCTION In the last chapter, we have discussed the motion under constant acceleration, i.e., the rate of change of velocity was constant. But in actual practice, it is seldom possible, that a body may move with a uniform velocity or uniform acceleration, at all times. A body, which does not move with a uniform acceleration, is […]

By · August 28, 2021 · 1 min read

INTRODUCTION

In the last chapter, we have discussed the motion under constant acceleration, i.e., the rate of change of velocity was constant. But in actual practice, it is seldom possible, that a body may move with a uniform velocity or uniform acceleration, at all times. A body, which does not move with a uniform acceleration, is said to be moving with a non-uniform or variable acceleration.

In this chapter, we shall discuss the motion under variable acceleration.

VELOCITY AND ACCELERATION AT ANY INSTANT

METHODS FOR VELOCITY, ACCELERATION AND DISPLACEMENT FROM A MATHEMATICAL EQUATION

The velocity, acceleration and displacement of a body, from a mathematical expression, may be found out by either of the following two methods :

1.      By differentiations and

2.      By integration.

VELOCITY AND ACCELERATION BY DIFFERENTIATION

VELOCITY AND DISPLACEMENT BY INTEGRATION