Inertial Reference Frame in Dynamics Inertial Reference Frame in Dynamics Displacement, velocity, acceleration etc. of a body moving along a straight line may be explained by considering the motion along…
Dynamics Definition Dynamics is a science relating motion. It deals with the motion and velocity, acceleration, force and energy of large body, e.g., airplane, train, car and…
Divergence: Vector Operator Divergence The divergence is an operator, which takes in the vector-valued function defining this vector field, and outputs a scalar-valued function measuring the change in…
Curl: Vector Operator In vector calculus, the curl is a vector operator that describes the insignificant rotation of a 3-dimensional vector field. If the vector field represents the…
Uses of Vector Operators Uses of vector Operators As Gradient Before defining and explaining gradient we need to know about differential operator (∆→) and scalar and vector field. Vector…
Physical Significance of Gradient Gradient tells you how much something changes as you move from one point to another (such as the pressure in a stream). The gradient is…
Integration in Vector Integration Suppose, a body is moving in a particular direction, i.e., it is moving along a straight line. Although the direction of velocity is fixed,…
Differentiation of a Vector Differentiation of a Vector Let V→ (u) be a vector that depends on unit scalar operator u. In mathematical language V is a function of…
General Rule for Differentiation of a Scalar Quantity General rule for differentiation of a scalar quantity is as follows: A scalar quantity is a one dimensional measurement of a quantity, like a temperature,…
Vector Operator Operator is an English term. It is a mathematical symbol or index. It has no value of its own. For example: square, cube, root, sine,…