Circular motion

[King Thando Mathe]

A small bead of mass m is threaded on to a smoth circular wire of radius r and centre O fixed in the vertical plane.Bead is projected with speed u from its highest point, A, of the wire.Find the reaction on the bead due to the wire when at P,in terms of m,g,r,u and ￦;where ￦ is the acute angle AOP.

[Mellinia]

You might want to add a pic for this. Though what's your question?

[swansont]

Also, we are not going to do HW for you. You have to present us with some work you've done, and explain where you're stuck.

[King Thando Mathe]

ok

[Nehushtan]

Hint (hope I’m allowed to post one). Let the speed of the bead at the given position be [latex]v[/latex]. Then you can calculate [latex]v^2[/latex] in two ways:

• Using energy considerations, you can express the kinetic energy [latex]\frac12mv^2[/latex] in terms of [latex]m,g,r,\omega,u[/latex].
• The centripetal force [latex]\frac{mv^2}r[/latex] can be expressed in terms of [latex]m,g,r,\omega,R[/latex] where [latex]R[/latex] is the reaction of the wire on the bead.

These equations should allow you to eliminate [latex]v[/latex] and solve for [latex]R[/latex].