(Solved): 2. A US Model 184112 pdr (pound, or pounder) mountain howitzer is being tested on a flat field. ...

2. A US Model 184112 pdr (pound, or pounder) mountain howitzer is being tested on a flat field. The barrel is at the maximum elevation of $$5^{?}$$. For the test, the gun fires a solid shot (cannon ball) weighing 12 pounds with a muzzle velocity of $$975\mathrm{ft}/\sec$$. (data based on values from http://npshistory.com/brochures/fols/howitzer,pdf) a. Sketch the setup. Place the gun on the left side of your drawing with the target on the right side. Show the coordinate system and other pertinent information. b. Find the mass of the shot in slugs. Take the muzzle velocity (magnitude and elevation angle) as your initial conditions at the instant the shot leaves the muzzle. c. Give the acceleration components $$a_x$$ and $$a_y$$ and the equation for each force component $$F_x$$ and $$F_2$$ in terms of mass $$m$$ and these components. Find the maximum height and the time in flight before the shot hits the ground. HINT: look at each component $$x$$ and $$y$$ separately. d. Redo part $$b$$ if in addition to the acceleration due to gravity, there is also an acceleration acting horizontally back towards the gun due to wind. The magnitude of this acceleration is a constant $$0.5\mathrm{ft}/{\sec }^2$$.