- #1
Pushoam
- 962
- 52
Homework Statement
A bead slides without friction on a horizontal rigid wire rotating at
constant angular speed ω. The problem is to find the force exerted on
the bead by the wire. Neglect gravity.
Homework Equations
The Attempt at a Solution
The physical force acting on the bead is the force exerted by the rigid wire.Let's call this force ## \vec F_{ph} ##.
Wrt. inertial frame,
## \vec F_{ph} = m { a_r } {\hat r } + m { a_{\theta}} {\hat {\theta} }##
constant angular speed ω gives ## \ddot {\theta} = 0 ##
##a_r = \ddot r - r {\dot {\theta}}^2 ##
## a_{\theta} = 2{ \dot r }{\dot {\theta}} + r {\ddot {\theta}} = 2{ \dot r }{\dot {\theta}} ##
So,
## \vec F_{ph} =## m( (## \ddot r - r { {\dot {\theta}}^2 }##) ## {\hat r} + 2 { \dot r } {\dot {\theta}} {\hat {\theta}} ## )
Is this correct?
Please, tell me where is the mistake in Latex code? I edited and corrected the code.
Last edited: