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

Thermodynemics, explain the following terms in brief:- point function and p...

explain the following terms in brief:- point function and path funtion

Generation of continuation, Generation of Continuation It is assumed th...

Generation of Continuation It is assumed that a partial schedule (which may be empty schedule) is given. For this partial schedule, a number of possible continuations is genera

Determine reactions at supports, Determine reactions at supports: Det...

Determine reactions at supports: Determine reactions at supports of supported beam of 6m span carrying increasing load of 1500N/m to 4500N/m from one end to another end.

Cam, advanced cam profile synthesis

advanced cam profile synthesis

CAPP, what is MIPLAN system

what is MIPLAN system

The aligned dimension command, The Aligned Dimension Command You can us...

The Aligned Dimension Command You can use this command to generate aligned dimensions. These are dimensions along inclined lines which cannot be dimensioned with the DIMLINEAR

What is carbon steel, Q. What is Carbon steel? Carbon steel has long be...

Q. What is Carbon steel? Carbon steel has long been used for handling concentrated sulphuric acid under ambient temperature and low velocity conditions. In service, a soft sul

Mechanical vibrations, The suspension system of a car is modelled as having...

The suspension system of a car is modelled as having an effective stiffness of 5x10 6 (N/m) and an effective mass of 750 (kg). The car is travelling over a road with bumps that ca

D.c circuits, formulae for finding gross torque developed by the armeture

formulae for finding gross torque developed by the armeture

Use of stainless steels in welding, Q. Use of Stainless Steels in welding? ...

Q. Use of Stainless Steels in welding? Considerable care must be exercised to obtain sound, crack-free welds. These difficulties are pronounced when welding very high-chromium

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