The discussion revolves around calculating the torque produced by a force on a cylinder, specifically focusing on the angle between the position vector and the force vector.
The discussion is active, with participants providing insights on vector relationships and clarifying misunderstandings about the angles involved. There is no explicit consensus on the angle, but multiple interpretations are being explored.
There seems to be confusion regarding the correct angle to use in the torque calculation, as well as the implications of using sine and cosine functions in the context of the problem.
It didn't say that. The angle between two vectors is obtained by putting them tail-to-tail. If you do that with r and F, you will get an angle of 120°. Then note that ##rF\sin(120^{\circ})=rF\cancel{\sin}\cos(30^{\circ}).##MatinSAR said:
You probably meant to write ##rF\sin(120^{\circ})=rF\cos(30^{\circ}).##kuruman said:
Yes, of course. Good catch.Steve4Physics said:
So the book is wrong since sin30 isn't equal to sin120 degrees... @Lnewqbankuruman said: