Finding an angle of trajectory from a tangential launch.

AI Thread Summary
To determine the launch angle of a projectile from a tangential launch, the relationship between potential energy and kinetic energy is crucial, utilizing equations like 1/2mv^2 and mgh. The problem involves setting the height to zero at the moment before launch and recognizing that the velocity is tangent to the circular track. The launch angle is defined as the angle between the velocity vector and the horizontal axis. Understanding that the velocity is perpendicular to the radius of the circular track aids in calculating the angle. Clarification on these concepts is essential for solving the problem effectively.
Jae
Messages
10
Reaction score
0

Homework Statement


ballLaunch.PNG


Homework Equations


1/2mv^2, mgh, and basic kinematics equations

The Attempt at a Solution


I set the height = 0 at moment before the launch.

To get the velocity, I used:
energy before the ball starts accelerating (PE) = energy right before the ball leaves the ark (KE)

I'm stuck on Part B, because I'm having trouble getting the angle of the launch.
I set the x-axis as the ground.

Thank you for your help.
 
Physics news on Phys.org
The launch angle is the angle the velocity encloses with the horizontal. And you know, that the velocity is tangent to the track. You also know that the velocity around a circular track is perpendicular to the radius.
launchangle.JPG
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top