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

Two position synthesis, Two position synthesis of crank rocker mechanisms

Two position synthesis of crank rocker mechanisms

Determine the shear stress in each section - cells, Determine the shear str...

Determine the shear stress in each section - cells: In Figure, the mean dimensions of the two cells are 100 mm × 50 mm and 50 mm square. t 1 = 3 mm,       t 2 = 6 mm,

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

Surface hardening, SURFACE HARDENING: In many conditions surface harde...

SURFACE HARDENING: In many conditions surface hardening instead of throughout hardening only is enough to serve the reasons. Gears are illustrations. Surface hardening is atta

Calculate the final velocities of the two masses, Calculate the final veloc...

Calculate the final velocities of the two masses: A mass of 10 kg moving along with a velocity of 10 m/sec along x direction follows another mass of 4 kg moving with 5 m/sec i

Engine management system, A preamble to engine management systems for IC en...

A preamble to engine management systems for IC engines objectives, functionalities and main features

Super charger, types of compressor used in super chasrger

types of compressor used in super chasrger

Determine the thermal efficiency, A combined cycle plant is designed to dev...

A combined cycle plant is designed to develop 200MW power. The air is obtained by the compressor at 300K and 1 bar pressure. The maximum temperature of the gas turbine cycle is lim

Pressure and temperature in unfired pressure vessels, Q. Pressure and Tempe...

Q. Pressure and Temperature in Unfired pressure vessels? The design pressures and coincident maximum and minimum metal temperature, shall be determined by carefully considering

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