Gun fires - projectile motion, Mechanical Engineering

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

Posted Date: 1/29/2013 1:59:42 AM | Location : United States







Related Discussions:- Gun fires - projectile motion, Assignment Help, Ask Question on Gun fires - projectile motion, Get Answer, Expert's Help, Gun fires - projectile motion Discussions

Write discussion on Gun fires - projectile motion
Your posts are moderated
Related Questions
basic idea in designing of aircraft ejection seat

Describe some special kind of patterns and indicate the production circumstances in which each would be need. Illustrate the term Directional solidification as applied in castin


Schedule Selection Of the p excellent continuations, q (first) operations are scheduled. This offers p latest partial schedules. After that step 1 is repeated. These steps'

diff.between direct stress and bending stress

Provide the various considerations to be taken in designing the cast iron housing for a heavy duty machines?

a) Show that if E is assumed to be correctly calculated, an error of 1% in the evaluation of C will involve an error of about 6% in the determine of Poisson's ratio when its correc

Improvement Of Existing Airport: The improvements that are usually needed for existing airports fall under the following categories : (a)        Extension of runway to acco

Explain lami's theorem: Sol.: Lami's theorem states that "If the three coplanar forces which are acting at a point be in equilibrium, then every force is proportional to sin

Internal combustion models of engine: The engines which develop power by combustion of fuel within the engine are called internal combustion engines. The examples of internal