Hooke’s law is the law of elasticity which was discovered in 1660 by the English scientist, Robert Hook. This law is compatible with Newton’s law of the static equilibrium. This law states that for the relatively small deformations of the objects, the size of deformation or displacement is directly proportional to the force or load, … Read more
Johannes Kepler was the German astronomer who observed the first two laws of planetary motion. These laws state that all planets move about the sun in elliptical orbits and having the sun as the foci. Secondly, it states that a radius vector joining the sun sweeps out equal areas in equal lengths of time. And … Read more
Gravitational potential energy is the energy of an object possesses because of its position in a gravitational field as it represents the potential of an object which has to do some work as a result of being located at a particular position in a gravitational field. Gravitational field intensity is zero at infinity and it … Read more
The elasticity of the materials is the specific property which helps to resists the permanent change when any sort of stress is applied to this body. When the stress application is stopped the body can regain the original size and shape. The elastic behavior is different for different materials. The study of the properties that … Read more
Critical velocity is defined as the speed at which a falling object reaches when both gravity and air resistance are equalized on the object. The other method of Elaborating critical velocity is that the speed and direction at which the fluid will flow through a passage without turning into turbulent. Turbulent flow is outlined as … Read more
Bernoulli’s Theorem and Its Applications Bernoulli’s theorem which is also called Bernoulli’s principle, states that a rise within the speed of moving air or a flowing fluid is accompanied by a decrease in the air or fluid’s pressure or sum of the kinetic (velocity head), pressure (static head) and Potential energy of the fluid at … Read more
The weight of those molecules is also larger close to the surface, as the gravity is bigger. Now, once we move towards higher altitudes, the force of gravity decrease that in turn decrease the density of air and also the weight of the molecules. This implies that the gas pressure is a smaller amount compared … Read more
Acceleration due to gravity and its variation with altitude and depth Acceleration due to gravity simply means acceleration gained by an object due to the gravitational force and it has both magnitude and direction that is why it is a vector quantity. Acceleration due to gravity is symbolized by g. Whereas gravity is a force … Read more
We have studied that magnitude of the velocity of the $i^{th}$ particle in a rigid body rotating about a fixed axis is, $v_{i}=r_{i}d\theta /dt=r_{i}\omega $ The kinetic energy of the $i^{th}$ particle of mass $m_{i}$ is given by, The total kinetic energy of the rigid body is, As angular velocity ω is same for all … Read more
Rigid body: To understand the rotational motion, first, we will go through the concept of angular position, velocity, acceleration, and centripetal acceleration The rigid body is a body with a perfectly defined and unchanging shape and the distance between any two particles within the body remains constant. We will consider rigid bodies having definite shape … Read more