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
Heat Treating Equipment: The major equipment for heat treatment is furnace. There are two main categories of furnaces - batch and continuous. The furnace selection needs cons


Conduct an industry & a 5-Forces analysis for BOEING AND AIRBUS. w/focus on commercial aircraft mfg (Hint: extend POV to travel preferences now & future, & review BOE/Air's POVs on

Equation for principal stresses and principal planes: Derive equation for principal stresses and principal planes for the element subjected to compound stresses. Sol.:

Gears : A gear is a disc with teeth on its boundary. If these teeth are formed at its inner boundary then this gear is known as an internal gear (annulus). These types of gears ar


Evaluation Phase of Radial drilling machine Steps: 1. To judge the ideas generated in the creation phase for ability to meet the required criteria. 2. To refine, develop

Clutch cable model: Ensure the cables fitted are of the respective model and not interchanged with other model. Also ensure that the cable is genuine.

why the pressure will reduce when the velocity increases

Q. Inspection and testing of vessels? The Vendor shall be responsible for all inspection and testing. WorleyParsons reserves the right to inspect vessels or parts of vessels at