forced linear


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Linear expansion
interatomic forces The constant a , which describes the thermal expansion properties of a particular material, is the coefficient of linear expansion. The units of a are K - 1 or (C O ) - 1 (remember that a temperature interval is same in both the Kelvin and Celsius scales). For many materials, linearh..
Newton's second law in angular form for a single particle undergoing linear motion
Here, F x and F y are two rectangular components of the applied force p x and p y are the two rectangular components of the momentum p. (at any time t) But we know, The quantity (xp y - yp x ) is known as the angular momentum L. So, the rate of change of angular momentum of ..
Summary
Principle of conservation of linear momentum states that the linear momentum of a system remains constant if the external forces acting on the system add up to zer..
Equilibrium of Rigid Bodies
A rigid body is said to be in equilibrium if, both the linear and angular momentum of a rigid body have a constant value. For the equilibrium of a rigid body, the body need not be at rest. However, if it is at rest, it is called the static equilibrium. Conditions for the rigid body to be ..
Momentum Conservation and Motion of Centre of Mass
As we know, the linear momentum of a particle is defined as , where m is the mass and is the velocity, the momentum of an N particle system is the vector sum of the momenta of the N particles. If the external forces acting on the system add up to zero, the centre of mass moves w..
Summary
The centre of mass is an imaginary point where one can assume the entire mass of the given system or object to be positioned. Principle of conservation of linear momentum states that the linear momentum of a system remains constant if the external forces acting on..
Recoil of a Gun
recoil of a gun When a bullet is fired from a gun, the gases produced in the barrel exerts a tremendous force on the bullet (action force). As a result, the bullet moves forward with a great velocity called the muzzle velocity. The bullet at the same time exerts an equal force on the ..
Applications to some familiar systems
. When a radioactive nucleus (initially at rest) decays, the fragments fly in different directions, obeying the principles of momentum and energy conservation. As the decay occurs spontaneously, no external forces are involved. The momentum of the system is conserved. As the parent nucleu..
Molecule Shapes
Shapes of Molecules - such as linear, triangular, square planar, pyramidal, octahedral etc. The shape of a molecule affects its chemical and physical properties. For instance, some of the unique properties of water are due to the angular shape of its molecule (H 2 O). The stability and th..
Effect of temperature
Surface tension decreases with rise in temperature, almost linearly. The decrease of surface tension with increase in temperature results because the kinetic energy (or speeds) of the molecules increases. Thus, the strength of intermolecular forces decreases resulting in the de..
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