Average force of resistance, Mechanical Engineering

Assignment Help:

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.


Related Discussions:- Average force of resistance

Calculation for stress-strain carves, Calculation for Stress-strain carves:...

Calculation for Stress-strain carves:   After reaching point D, if bar is strained further, a local reduction in cross section occurs in gauge length (that is, formati

Boiler, equivalent evaporation of boiler..?

equivalent evaporation of boiler..?

Characteristics of adhesives and adhesive joints, Characteristics of Adhesi...

Characteristics of Adhesives and Adhesive Joints While an adhesive joint is created this has to show individual or several of given properties. (a) Mechanical strength again

Functions of the piston , Functions of the Piston To transmit forc...

Functions of the Piston To transmit force of explosion to the crankshaft. To form a seal so that high pressure gases from the combustion chamber do not escape into th

Illustrate the spatial partitioning representation, Normal 0 fa...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Evaluate the sliding velocity, Two mating spur gear with module pitch of 6....

Two mating spur gear with module pitch of 6.5 mm have 19 and 47 teeth of 20 degree pressure angle, and 6.5 mm addendum. Evaluate the number of pairs of teeth in contact and the ang

Determine the forces on bar, Determine the Forces On Bar Two bars and ...

Determine the Forces On Bar Two bars and a cable are used to support a block as shown. The two bars have negligible weight and the pulley is free to rotate. The mass of the pu

Welding head, Welding Head Submerged arc welding head consists of the wir...

Welding Head Submerged arc welding head consists of the wire spool, wire feed system, flux delivery hopper and electrical contact nozzle. The electrode wire is unwound from the s

Compressor, compressor’s volumetric efficiency can also depend on the compr...

compressor’s volumetric efficiency can also depend on the compressor’s ratio.

Supply chain management, Supply Chain Management: In this unit, you ha...

Supply Chain Management: In this unit, you have learned that the supply chain is the network of autonomous and semi-autonomous business entities, which are include through ups

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd