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

Mechanics materials , 1) Factor of Safety is calculated by using which of t...

1) Factor of Safety is calculated by using which of the following set of values? [Select the one best answer from the choices given below.] Answer a. Yield Stress and Allowable St

What is wrap-around, The major purpose of a wrap-a-round is to make a strai...

The major purpose of a wrap-a-round is to make a straight line around a pipe to aid in cutting the pipe to its proper length. It is used mainly as a template or a straight edge.

Quenching and tempering, Quenching and Tempering Cast iron pearlite st...

Quenching and Tempering Cast iron pearlite structure might be heated to lower critical temperature and after that quenched to effect extremely rapid cooling. This treatment re

Determine the maximum hoop - conical shells, Determine the maximum hoop: ...

Determine the maximum hoop: A conical water tank of height 2 metres & base radius 500 mm is supported at top and is full of water. The thickness of the wall is refer to 24 mm,

Find the minimum power of the pump, Consider the power system as designed b...

Consider the power system as designed below. The duty fluid is water, and has a mass flow 0.75 kg/ s and all piping through which the liquid flows has diameter 1'', while the steam

Piping, I have an assignment and i want you to do it for me

I have an assignment and i want you to do it for me

Determine the stresses in the shell, Determine the stresses in the shell: ...

Determine the stresses in the shell: A thin spherical shell of 1.5 m diameter & 8 mm thickness is filled having a liquid at an internal pressure of 1.5 N/mm 2 . Determine the

Heat, how to prove heat is a path function?

how to prove heat is a path function?

Blade tips with burrs, Industrial had been producing various types of medic...

Industrial had been producing various types of medical products. One of the manufacture lines is Blade Department. Recently we had received a complained from Headquarter regarding

Ejection seat, basic idea in designing of aircraft ejection seat

basic idea in designing of aircraft ejection seat

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