Average force of resistance, Mechanical Engineering

Average force of resistance:

A gun weighing 500 kN is utilized to fire a shell weighing 10 kN in a horizontal direction with a velocity of 500 metres/sec. With what initial velocity the gun shall recoil? What shall be the average force of resistance to bring it to rest in a distance of 1.25 metres?

Solution

Considering gravitational acceleration = 10 m/sec2.

Mass of shell = 10 × 103 /10

                        = 1000 kg

Mass of gun = 500 × 103 /10

                          = 50 × 103 kg or 50 tonne.

By applying the principle of conservation of momentum,

1 × 500 + 50 × V = 0

∴ V = - 10 metres / sec.

Negative sign of the velocity of gun mentions that the direction of velocity of the gun is opposite to that of the shell. This is for this reason, that motion of gun is called as recoil.

Consider F be the average retarding force causing retardation (- a) of the gun. As final velocity of gun is zero, through equation

V 2  = u 2 + 2 a s

we have

∴ 0 = 102  + 2 a × 1.25

∴ a = - 100 / (1.25 × 2)

= - 40 metres / sec2

∴          Retarding Force, F = m × a

                                    = 50 × 40 = 2000 kN.

Posted Date: 1/29/2013 7:02:58 AM | Location : United States







Related Discussions:- Average force of resistance, Assignment Help, Ask Question on Average force of resistance, Get Answer, Expert's Help, Average force of resistance Discussions

Write discussion on Average force of resistance
Your posts are moderated
Related Questions
Determine hardness of material: Hardness is surface property. It can be defined as resistance of material against permanent deformation of surface in the form of scratch, inde

Illustrate the following terms:- a) Mechanism and Inversion b) Slip and Creep of belt drive c) Centrifugal Tension of belt drive d) Initial Tension of belt drive

Calculate change of entropy of universe: 5Kg of ice at 10 0 C is kept in atmosphere that is at 30 0 C. Calculate change of entropy of universe when it melts and comes i

impact force equation of ship to jetty?

I have done Bca in 2012 persuing Doing job which is not stable i have to learn automobile design and mechanism and restoration finding some iti course

Determine maximum stress and modulus of elasticity:  A composite of glass fibres and epoxy has all of fibres laid along the length and is needed to carry a stress of 12 MPa. T

advantages and disadvantages of locomotive boiler

Q. Nozzle Design Loads? Minimum nozzle design loads shall be in accordance. F = Axial force on centre line of nozzle (lbs); Maximum Transverse Force =1.5F F R = Resultan

Discover ratio of the torsional strengths: A hollow shaft of inner diameter is 1/2 × the outer diameter & a solid shaft of diameter is the external diameter of the hollow shaf

Q. Functional areas of geometric modeling? Drafting • Automatic planar cross-sectioning. • Automatic hidden lines and surface removal. • Automatic production of s