I was watching the above video which is part of a series explaining the mechanics behind a gyroscope. In the video the author explains the mechanics of the gyroscope when stationary (the disc is not rotating). Here he derives a result that the angular acceleration is g/r which is non zero.
1.Does the angular acceleration refer to the rotation of the disc and the rod about the hinge (due to the torque)?
2.If so, how is the relationship between the angular acceleration and tangential acceleration derived?
3. Is the tangential acceleration tangential to the curve charted by the falling disc?
4. If I understand correctly, the angular acceleration is a function of r, which is the perpendicular distance between the line of action of the force (m*g) and the axis about which rotation occurs. Thus as the disc falls at an angle, r changes, and hence angular acceleration changes (?). If so why is the tangential acceleration equal to acceleration due to gravity only initially?
Thank you for your time!