Impulse- momentum - work and energy, Mechanical Engineering

Impulse, Momentum, Work and Energy:

As a part of summary, you can remember various important principles in terms of following equations.

 (i)        Impulse-Momentum equation along a given direction

1155_Impulse, Momentum, Work and Energy.png

 (ii)       Principle of Conservation of Momentum for a given system of masses M1, M2 and M3.

                     M1 V1  + M 2 V2  + M 3 V3  = M1 V1′ + M 2 V2′ + M 3 V3

 (iii)      Principle of Conservation of Energy

             (a) In case of Conservative-field

    Total Energy content under any position of all the masses in the system is constant.             

     Considering any two points (1) and (2)

                         ∴ PE (1) + KE (1) = PE (2) + KE (2)

               (b) In case of Non-conservative-field

  ∴ PE (1) + KE (1) = PE (2) + KE (2) + Energy lost during movement from   position (1) to (2).

 

     (iv)  Work Energy Principle on a given mass M

1462_Impulse, Momentum, Work and Energy1.png

   (v)     Perfectly Elastic Impact

e = Velocityof Departure/ Velocityof Approach

       = (V2′ - V1′) / V1 - V2 = 1

M 1 V1  + M 2 V2  = M 1 V1′ + M 2 V2′ = (m1  + m2 ) Vc

There is no loss of energy throughout perfectly Elastic Impact.

 (vi) Perfectly Plastic Impact

        e = 0                        ∴ V2′ = V1′ = Vc

            (m1  + m2 ) Vc  = m1 V1  + m2  V2

Energy is lost due to permanent deformation caused by impulsive forces.

Elost  = m1 m2  (V1 - V2 )2 /2 (m1 + m2 )

A large number of examples are solved at the end of most of the important articles so that the application of above referred principles is correctly understood.

Posted Date: 1/29/2013 7:27:51 AM | Location : United States







Related Discussions:- Impulse- momentum - work and energy, Assignment Help, Ask Question on Impulse- momentum - work and energy, Get Answer, Expert's Help, Impulse- momentum - work and energy Discussions

Write discussion on Impulse- momentum - work and energy
Your posts are moderated
Related Questions
define elastomer.explain in details?

Types of Lubricant: Lubricant is a material which circulates through the lubrication network to provide lubrication at various points. Lubricants are classified in three forms: Fl

Write brief notes on the following : (a) Draught System (b) Binary Vapour Cycle (c) Cooling Towers (d) Governing of steam turbines

Foil Butt Seam Welding This is a modification of seam welding, in which thin narrow strips of metal arc introduced between one or both of the circular electrodes and the work p

Q. Identification of Pressure Welds? Pressure welds shall be identified as follows: a. Generally each weld shall be stamped adjacent to the weld with the welder's identity c

pre heating of casted material for welding

Find out the moment of inertia of an annular area: Find out the M. I. of an annular area among two circles where difference of radius is quite small, around any centroidal axi

Explain the Electron Beam Machining Electron Beam Machining is the metal removal process by a high velocity focused stream of electrons which heats, melts and vaporizes the

Q. What do you mean by Flares and Vents? A vent is a potential gas fuel source and a potential liquid fuel source due to carry-over from the vent. This is also true for a flare

Thin wall round tube has diameter of 60mm. The end of it will be compressed to square for. How many percents torsion strenght will become lower at the end tube?