Average force of resistance, Mechanical Engineering

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.

Posted Date: 1/29/2013 7:02:58 AM | Location : United States







Related Discussions:- Average force of resistance, Assignment Help, Ask Question on Average force of resistance, Get Answer, Expert's Help, Average force of resistance Discussions

Write discussion on Average force of resistance
Your posts are moderated
Related Questions
Determine maximum internal diameter of hollow shaft: A solid shaft of mild steel which is 200 mm in diameter is to be replaced by hollow shaft of alloy steel for which the al

Derivation of displcement equation of cycloidal motion related to follower

ELECTRO GAS WELDING This process is an extension of MIG  I MAG welding, designed for single pass vertical welding of steel plates in the thickness range of 10 to 38 mm. The tw

hot working vs cold working

Show that the force exerted by jet of water on a fixed semi-circular plate in the direction of jet when the jet strikes at the centre of the semi-circular plate is two times the fo

Determine maximum stress and modulus of elasticity:  A composite of glass fibres and epoxy has all of fibres laid along the length and is needed to carry a stress of 12 MPa. T

Deformation Processes In these processes, the material is plastically deformed (hot or cold) under the action of an external force, to produce the required shape. No material i

Determine the resultant of the system of forces: Four forces act on a body as illustrated in Figure. Determine the resultant of the system of forces. Figure Sol

Does this college offer courses in the field of mechanicalthermodynamics?

HOW TO CALCULATE OUTPUT TORQUE OF HELICAL GEAR BOX