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0 votes
1 answer
200 views

Relationship between parametrization variables of hollow cylinder/rolling disk system.

Provided info: A hollow cylinder (mass $m1$, radius $R$, $\delta$ << $R$) is pivoted on two mass-less bearings. In the hollow cylinder a plate (mass $m2$, radius $r$) rolls without sliding. ...
Mats's user avatar
  • 1
3 votes
1 answer
3k views

Finding the point of intersection of the involute profile and trochoidal root curves for a generated gear.

CONTEXT I'm attempting to find the intersection point of the involute curve and trochoidal root curve of a gear's tooth. These two curves arise by "generating" the gear, which can be achieved by ...
Involute's user avatar
  • 273
2 votes
0 answers
683 views

Launch angle required to hit coordinate (x,y) with air resistance

Finding Angle of Elevation to hit X, Y and Wikipedia Angle required to hit coordinate work, but don't calculate air resistance. Is there a way to find the launch angle of a projectile required to hit ...
user1815222's user avatar
2 votes
0 answers
2k views

Parametrization of square to calculate Dot-product in line-integrals and area-integrals, electric field from $\frac{dB}{dt}$?

I am calculating 3A of Tfy-0.1064 in Aalto University. I realized here that I am misunderstanding something in vector calculus: the thing market in green particularly. I know $$\nabla\times E= -\...
hhh's user avatar
  • 5,527
2 votes
1 answer
499 views

Finding Angle of Elevation to hit X, Y

My ultimate goal is to find the angle of elevation necessary to launch a projectile from the origin to (x,y) with initial velocity V and under gravitational acceleration g. Wind resistance is ignored. ...
Miles's user avatar
  • 143