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

Sleepers - permanent way, Sleepers: The sleeper is the part of the tr...

Sleepers: The sleeper is the part of the track on which the rails rest. Its functions are : (a) To hold the rails to the correct gauge. (b) To transmit and distribute t

Explain cutting speed-material removal rate & machining time, Determine- cu...

Determine- cutting speed, Material removal rate and Machining time. A 150 mm long 12.7 mm diameter stainless steel rod is being turned to 12.19 mm diameter on a centre lathe.

Heat loss in acylindrical pipe, Ask question #Minimum 1. Research the topic...

Ask question #Minimum 1. Research the topic of heat loss in a cylindrical pipe. Explain which laws of physics are used to discuss heat loss in a pipe, and briefly explain how the f

Control function in production management, Control Function in Production M...

Control Function in Production Management: Controlling is a sub system of the production system where a part of the output is monitored for feedback signals to give corrective

Closed system - thermodynamics system, Closed System: The system tha...

Closed System: The system that can exchange energy with the surrounding but not the mass. The quantity of matter hence remains fixed. And the system can be described as cont

Principals, do you know the grade to the answers of the questions in the pr...

do you know the grade to the answers of the questions in the pre paid solutions..?? and what if the answers are wrong..?? as i need all working out shown

Rope drive, Rope drive: What do you mean by the term rope drive? ...

Rope drive: What do you mean by the term rope drive? Sol: The ropes are circular in section. Rope-drive is mostly used when distance between the driving shaft and drive

Corollaries of first law of thermodynamics, Corollaries of first law of the...

Corollaries of first law of thermodynamics: First law of thermodynamics has significant corollaries. Cor ollary 1: (First Law for process). There exists property of

Magnetic alloy steels, Magnetic Alloy Steels: These steels are divide...

Magnetic Alloy Steels: These steels are divided into two sets. Such which retain their magnetism and that which do not. The steels which retain their magnetism are termed as

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