Horizontal Range of the Escaping Liquid Water stands at a depth H in a tank whose sides are vertical. A hole is made in one of the walls at a depth h below the water surface. Let container remains at rest. When the liquid remains emerges out of the hole, it goes along a parabolic Read more about Horizontal Range of the Escaping Liquid[…]
Force of Reaction due to Ejection of Liquid A cylindrical vessel has an opening of cross-sectional area “a” near the bottom. A disc is held against the opening to prevent liquid of density ρ from coming out. If the height of the liquid above opening is h. Let us analyse the force on the disc Read more about Force of Reaction due to Ejection of Liquid[…]
Vector form of Newton’s Law of Gravitation Newton’s Law of Gravitation states that everybody in this universe attracts every other body with a force which is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them. Consider two points mass bodies A and B of Read more about Vector form of Newton’s Law of Gravitation[…]
Rolling of a Body on an Inclined Plane A rigid body of radius of gyration (k) and radius (R) rolls down a plane inclined at an angle (θ) with the horizontal. When a body is placed on an inclined plane, it tries to slip down and hence a static friction (f) acts upwards. This friction Read more about Rolling of a Body on an Inclined Plane[…]
Moment of Inertia of a Triangular Lamina about its Base Inertia is a property of a body to resist the change in linear state of motion. It is measured by the mass of the body. The moment of inertia (I) of a body is a measure of its ability to resist change in its rotational Read more about Moment of Inertia of a Triangular Lamina about its Base[…]
Coulomb’s Law in Vector Form Charles Coulomb’s measured the magnitude of electric forces between charged objects using the torsion balance. From Coulomb’s experiments, we can generalize the properties of the electric force. Let, and be two like charges placed at points and, respectively, in vacuum. is the position vector of point, and is the position Read more about Coulomb’s Law in Vector Form[…]
Kinetic Energy of a Body in Combined Rotation and Translation Consider a body in combined translational and rotational motion in the lab frame. Suppose in the frame of the centre of mass, the body is making a pure rotation with an angular velocity ω. The centre of mass itself is moving in the lab frame Read more about Kinetic Energy of a Body in Combined Rotation and Translation[…]
Time Period of Satellite A satellite is anything that orbits around a larger object. A natural satellite is any celestial body in space that orbits around a larger body. Moons are called natural satellites because they orbit planets. Time period of satellite is the time taken by a satellite to complete one revolution around the Read more about Time Period of Satellite[…]
Expression for Gravitational Potential at a Point Gravitational potential at a point in a gravitational field of a body is defined as the amount of work done in bringing a body of unit mass from infinity to that point without acceleration. Let, earth to be a perfect sphere of radius R and mass M. The Read more about Expression for Gravitational Potential at a Point[…]
Deduction of Newton’s Law of Gravitation from Kepler’s Law Newton’s Law of Gravitation is states that in this universe attracts every other body with a force which is directly proportional to the product of their masses and is inversely proportional to the product of the squares of the distance between them. Newton’s Law of Gravitation Read more about Deduction of Newton’s Law of Gravitation from Kepler’s Law[…]