The Work Energy Theorem is the Idea that energy and work can be directly exchanged for one another. For example, if you do three joules of work to get a bowling ball moving, it is now moving with three joules of kinetic energy. According to the principle, work done by a force in displacing a Read more about Work Energy Theorem[…]
Row Matrix: A matrix having a single row is called a row matrix. Example: Column Matrix: A matrix having a single column is called a column matrix. Example: . Square Matrix: An m x n matrix A is said to be a square matrix if m = n i.e. number of rows = number of columns. Read more about Classification of Matrices[…]
Case (1): Radical axis of the two circles is defined as the line from each point of which, tangents of equal length are drawn to the two circles.Where T = T₁ Case (2): In case of three circles radical point can be defined as the point where radical axis of three circles taken two at Read more about Radical Axis of the Two Circles[…]
Newton’s first law explains what happens to an object when no force acts on it, it either remains at rest or moves in a straight line with constant speed. Newton’s Second Law answers the question of what happens to an object when one or more forces act on it. Newton’s second law of motion establishes Read more about Newton’s Second Law of Motion[…]
Before 1600 century, it was believed that the natural state of the matter is the state of rest. Galileo, later on, suggested that it is not the property of the object to stop if it is in the motion but to resist any change in its motion Newton later on came up with Newton’s First Read more about Newton’s First Law of Motion[…]
The angle of intersection between two curves intersecting at a point is the angle between their tangents drawn at that point. The curves are said to be intersecting orthogonally, if the angle between their tangents are common point is a right angle. Consider two circles S₁ ≡ x² + y² + 2g₁x + 2f₁y + C₁ = 0 S₂ ≡ Read more about Two Circles Intersect Orthogonally[…]
We already know that heat is a form of energy. It is a common observation that when we come out of the blanket on a cold morning we feel cold for some time but after that it becomes normal to some extent. So what exactly is happening? Initially heat begins from us to the surrounding Read more about Thermal Equilibrium & Zeroth Law of Thermodynamics[…]
What is Induction in math? Mathematical induction is a special method or technique to prove the statements given in consideration. Generally, it is used to prove the statements of the set of natural numbers.Principle of Mathematical Induction: Mathematical induction is used to prove that the given statement is true or not. It uses 2 steps Read more about Principle of Mathematical Induction[…]
The Second law of thermodynamics states that the state of entropy of the universe, as an isolated system, will always increase over time. The second law also states that the changes in the entropy in the universe can never be negative. Why is it that when you leave an ice cube at room temperature, it Read more about Second Law of Thermodynamics[…]
Direct Common Tangents: The direct common tangents to two circles meet on the line of centers and divide it externally in the ratio of the radii. The transverse common tangents also meet on the line of centers and divide it internally in the ratio of the radii Now we discuss the number of common tangents that exist for the cases Read more about Common Tangents[…]