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

Determine the time response for the system, For two waves period, determine...

For two waves period, determine the time response x(t) for the system (ignoring viscous damping effect only)  Give=n: X0=0.09615 , θ(radians)=0.110*π , μk=0.80000 , μs=0.90000 , K=

Mesh-current method, how do we solve circuits using the mesh current method...

how do we solve circuits using the mesh current method

Determining the number of kanban card sets, Determining the Number of Kanba...

Determining the Number of Kanban Card Sets: Example: Determining the Number of Kanban Card Sets X automotive, a company that makes muffler assemblies for the Mangalore Mo

Find the tangential and normal components of acceleration, Find the tangent...

Find the tangential and normal components of acceleration: A fly wheel along diameter 400 mm begins from rest with constant angular acceleration 2 rad/sec 2 . Find out the tan

Design varies with scale of operation, Design varies with scale of operatio...

Design varies with scale of operation The design of a fermenter varies with scale of operation from lab (1-20L), to pilot (up to 5000L) to production (to >200,000L) scales. Th

What is euler operators, What is euler operator Once a polyhedron model...

What is euler operator Once a polyhedron model is available one might want to edit it by adding or deleting vertices, edges and faces to create a new polyhedron. These operatio

Process of corrosion in bfw tank, Q. Process of Corrosion in BFW Tank? ...

Q. Process of Corrosion in BFW Tank? The feed to the BFW Tank is hot and will be flashing when it enters the tank. The vapours will be corrosive when the tank is open to atmosp

Compute the angular velocity of the wheel, Compute the angular velocity of ...

Compute the angular velocity of the wheel: A wheel of 0.5 m radius rolls over a horizontal surface without slipping as illustrated in Figure (a). The velocity of its centre is

M.o.s, Draw the shear force and bending moment diagrams for overhanging bea...

Draw the shear force and bending moment diagrams for overhanging beam subjected to pont load at its free end

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