What is the parallelogram law in physics?
Definition of parallelogram law. : a law in physics: the resultant of two vector quantities represented in magnitude, direction, and sense by two adjacent sides of a parallelogram both of which are directed toward or away from their point of intersection is the diagonal of the parallelogram through that point.
Parallelogram Method Demonstration. To best understand how the parallelogram method works, lets examine the two vectors below. The vectors have magnitudes of 17 and 28 and the angle between them is 66°. Our goal is to use the parallelogram method to determine the magnitude of the resultant.
- Head to Tail method or graphical method is one of the easiest method used to find the resultant vector of two of more than two vectors.
- A Vector is something that has two and only two defining characteristics. Magnitude: the meaning of magnitude is 'size' or 'quantity' Direction: the meaning of direction is quite self-explanatory. It simply means that the vector is directed from one place to another.
- To add or subtract two vectors, add or subtract the corresponding components. Let u → = ? u 1 , u 2 ? and v → = ? v 1 , v 2 ? be two vectors. The sum of two or more vectors is called the resultant. The resultant of two vectors can be found using either the parallelogram method or the triangle method .
The Parallelogram Law for the Addition of Force Vectors. In order to understand this concept, we must first define a force vector. The resultant force (or the force that can replace the two vectors and still have the same effect of the body as the original two) is the diagonal of the parallelogram (vector "R").
- Force is a vector and hence has both a direction and magnitude. For example, gravitational force (on earth) acts in downward direction and has a magnitude equal to mass of the object and acceleration due to gravity. The sum of all the forces acting on an object is the net force or resultant force.
- A force is a push or pull on an object. Balanced forces acting on an object cause no change in the motion of the object. When unbalanced forces act on an object, the sum of the forces is not equal to zero. Unbalanced forces cause acceleration.
- A force can cause an object with mass to change its velocity (which includes to begin moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity.
Vector is a quantity which has both magnitude and direction. Triangle law of vector addition states that when two vectors are represented by two sides of a triangle in magnitude and direction taken in same order then third side of that triangle represents in magnitude and direction the resultant of the vectors.
- A scalar and a vector are both tensors! Scalar = tensor of rank 0, vector = tensor of rank 1, dyadic = tensor of rank 2, etc. A tensor is a general quantity. A scalar has magnitude with 0 direction, hence a rank 0 tensor. A vector is a magnitude acting along a line, or 1 dimension, i.e. tensor of rank 1.
- Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector.
- Increase/Decrease in Temperature - The measurement of the medium's temperature is a scalar quantity; the measurement of the increase or decrease in the medium's temperature is a vector quantity. Velocity - The measurement of the rate at which an object changes position is a vector quantity.
Updated: 21st November 2019