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Mechanics

Law of conservation of energy:Definition,formula & examples

What does law of conservation of energy mean? According to law of conservation of energy:”Energy can neither be created nor is it destroyed.It can only be transformed from one form to another.A loss in one form of energy is accompanied by an equal increase in the other forms of energy.The total energy remains constant.” According to Einstein’s mass energy relation: ...

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Different types of motion in physics with examples & pictures

Newton’s laws of motion Newton’s second law of motion Newton’s third law of motion Simple harmonic motion (SHM) Projectile motion equations What does motion mean? “A body is said to be in motion,if it changes its position with respect to its surroundings.” Surroundings are the places in its neighborhood where various objects are present.The state of rest or motion of ...

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Moment of inertia of disc,cylinder,rod and triangle

Moment of inertia: Moment of inertia is defined as:”The sum of the products of the mass of each particle of the body and square of its perpendicular distance from axis.”For a rigid body moving about a fixed axis,the laws of motion have the same form as those of rectilinear motion,with moment of inertia replacing mass,angular replacing linear velocity,angular momentum replacing ...

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How to find density with mass and volume?

What is Density? “Mass per unit volume  of a material is called density.”Density is an important property of any material.A homogeneous material such as ice or iron has the same density throughout.We use  (the Greek letter rho) for density.If a mass m of homogeneous material has volume V ,the density  is: Two objects made of the same material have the ...

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gravitational potential energy:Definition,derivation & examples

Gravitational potential energy: We know that a particle gains or loses kinetic energy because it interacts with other objects that exert forces on it.During any interaction,the change in a particle’s kinetic energy is equal to the work done on the particle by the forces that act on it. In many situations it seems as through energy has been stored in ...

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Viscosity of fluids and Poiseuille’s law with applications

What is Viscosity? “Viscosity is the  internal friction in a fluid.”Viscous forces opposes the motion of one portion of a fluid relative to another.Viscosity is the reason it takes effort to paddle a canoe through calm water,but it is also the reason the paddle works.Viscous effects are important in the flow of fluids in pipes,the flow of blood,the lubrication of ...

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Work energy theorem:Definition derivation and examples

What is the work energy theorem? Work energy theorem states that:“The net work done by the forces acting on the body is equal to the change in kinetic energy of the body.”Mathematically it is expressed as: Wnet = Kf –Ki = ∆k An unbalanced force applied to a particle will certainly change the particle’s state of motion.Newton’s second law provides us with ...

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kepler’s laws of planetary motion with equations

How did Johannes Kepler come up with his three laws of planetary motion? Using newton’s laws of motion and law of universal gravitation,we can understand and analyze the behavior of all the bodies in the solar system:the orbits of the planets and comets about the sun and of natural and artificial satellites about their planets.We make two assumption that simplify ...

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Bernoulli’s equation fluid mechanics:derivation & applications

What is Bernoulli equation? Bernoulli’s equation is defined as:”The sum of pressure,the kinetic and potential energies per unit volume in a steady flow of an in compressible and non viscous fluid remains constant at every point of its path.”Mathematically it is expressed as: P+ ρgh +1/2 ρv2 =constant Bernoulli’s equation,which is a fundamental relation in fluid mechanics,is not a new principle but ...

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Continuity equation Fluid Mechanics

General Concept of Fluid Flow: One way of describing the motion of a fluid is to divide the fluid into infinitesimal volume elements,which we may call fluid particles,and to follow the motion of each particle. If we knew the forces acting on each fluid particle,we could then solve for the coordinates and velocities of each particle as functions of the ...

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