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A particle attached to a string moves inside a hollow circular cone, find tension?
A hollow circular cone is fixed with its axis vertical and its vertex downwards. A particle P, of mass m, is attached to a fixed point A on the axis of the cone by means of a light inextensible string of length equal to AV. The particle moves with constant speed v in a horizontal circle on the smooth inner surface of the cone, with the string taut. The radius of the circle is r, and the angles APV and AVP are each 30 degrees.
a) Find an expression, in terms of m, g, v, r, for the tension in the string.
b) Deduce that v^2/gr > 3^1/2
vertex point is V.
The tension is the pull of gravity on the string .
The formula is Ftension = MG measured in newtons
G= 9.81 m/sec
M is the mass of the particle in kilograms
"The Hollow Men, for trumpet & string orchestra, Op. 25" composition by Vincent Persichetti