Gun fires - projectile motion, Mechanical Engineering

Assignment Help:

Gun fires - projectile motion:

A gun fires a projectile along with a muzzle velocity of 300 m/sec as illustrated in Figure. Find its angle of inclination so that it strikes a target located at a horizontal distance of 4000 m and 200 m above it.

1430_Gun fires - projectile motion.jpg

Solution

Coordinates (with respect to the origin O) of the target shall be (4000, 200). Substituting these values in the equation of motion, we attain

[sin 2 θ + cos2 θ = 1;   tan 2 θ + 1 = sec2 θ]

y = x tan θ - (½) g x2 / 2 v o2 cos2 θ

200 = 4000 tan θ - (9.81 × 40002 )/ (2 × 3002 cos2 θ)

200 - 4000 tan θ= - 872 sec2 θ= - 872 (1 + tan 2 θ)

∴ tan 2  θ - 4.587 tan θ + 1.23 = 0

∴ θ = 15.96o ,   or   76.91o


Related Discussions:- Gun fires - projectile motion

Determine least value of work, Determine least value of work: Q . De...

Determine least value of work: Q . Determine least value of W as shown in the figure given below to keep the system of connected bodies in equilibrium µ for surface of c

Requirements for vessels with thickness, Q. Requirements for vessels with t...

Q. Requirements for vessels with thickness? The following additional requirements are applicable, as specified,  to Carbon Steel and Low Alloy steel pressure vessels with main

Welding, #what is porosity in welding is this different from pin hole

#what is porosity in welding is this different from pin hole

Relationships among vm, Relationships among VM, Virtual Prototyping, the Vi...

Relationships among VM, Virtual Prototyping, the Virtual Enterprise Virtual Manufacturing (VM) VM is a synthetic, integrated manufacturing environment exercised to improve

Heat pump - thermodynamics, Heat Pump - thermodynamics: Heat Pump: H...

Heat Pump - thermodynamics: Heat Pump: Heat pump is reversed heat engine that removes heat from a body at low temperature and transfer heat to the body at higher temperature

Calculate the value of the gravitational force, Problem - Newton's Second L...

Problem - Newton's Second Law in 1D Newton's Second Law of Motion says that the vector sum of the forces acting on an object equals the object's mass times its acceleration.  Ma

Basic definitions - air transportation, BASIC DEFINITIONS - Air transportat...

BASIC DEFINITIONS - Air transportation: A civil engineer dealing with airport engineering shall have to know the precise meaning of some terms. These are defined below :

Lets see, How is works watery flayer?

How is works watery flayer?

Harmonic motion equilibrium, (a) Split up the harmonic x = 8 sin(ωt + 45°),...

(a) Split up the harmonic x = 8 sin(ωt + 45°), into two harmonic motions, one of which has amplitude of 10 and phase difference zero. (a) A body is subjected to two harmonic mot

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