Struggling on this problem:
A particle of mass m, is attached to one end of a light, inextensible string of length l. The other end of the string is fixed at P. The particle moves in a horizontal circle of radius r at a constant speed v. (In the diagram, the particle is basically following the path of the circular base of a cone, and the point P is the tip of the cone.)
Show that the tension in the string, T, is given by .
What I did do was:
Let the angle between the vertical and string be a.
Equating vertical components:
Equating horizontal componets with centripetal force
Then in order to eliminate the sine's and cosine's:
so from resolving vertical components .
But rearranging this to find T doesn't seem to work out, am I heading along the right tracks? Cheers in advance
Is this right?