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

Calculate sif of crack - beam, Calculate sif of crack - beam: An edge ...

Calculate sif of crack - beam: An edge cracked beam carries crack in its central plane whose lengths is 5 mm. A load of 1000 N is applied opposite to crack so that crack would

Determine strain energy stored in coiled helical spring, Determine Strain e...

Determine Strain energy stored in coiled helical spring: For a close coiled helical spring subjected to an axial load of 200 N with 10 coils of wire of diameter 18 mm and buil

Parts of aircraft - air transportation, Parts of Aircraft  The main p...

Parts of Aircraft  The main parts of an aircraft are (Figure): (a) Engine, which propels the aircraft; the aircraft may have jet engines or propeller driving engines. (b

Determine the initial radius of curvature, Determine the initial radius of ...

Determine the initial radius of curvature:  A carriage spring, defiantly loaded and simply supported at its ends, has 12 steel plates each 60 mm wide by 6 mm thick. If the lon

How is the cooling system useful in two wheelers?, (a) How is the cooling s...

(a) How is the cooling system useful in two wheelers? (b) Which cooling system is mainly used in two wheelers? Describe working of that cooling system. (c) Describe the worki

Explain single piece pattern, Single piece pattern These are inexpensiv...

Single piece pattern These are inexpensive and the simplest type of patterns. As the name indicates, they are made of a single piece as shown in Figure.2.2 this type of pattern

Determine the slopes at free end - cantilever beam, Determine the slopes at...

Determine the slopes at free end - cantilever beam: A cantilever beam of length l carries a point load W at a distance l  /4 from free end. Determine the slopes at free end

Determine the tension in string, A String LM long is tied to the ends of a ...

A String LM long is tied to the ends of a uniform rod that weight 60 N and is 1.6m long. The string passes over a nail so that the rod hangs horizontally. Determine the tension in

Thermodynamics, define the first and second law of thermodynamics.

define the first and second law of thermodynamics.

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