A bob of mass 200gm is whirled in a horizontal circle of radius 50cm by a string inclined at 30∘ to the vertical. Calculate the tension in the string and the speed of the bob in the horizontal circle.
Given, (need figure)
Mass of the bob (m)=200gm=0.2kg
Radius of horizontal circle (r)=50cm=0.5m
Angle of inclination with vertical (θ)=30∘
Tension in the string (T)=?
Speed of the mass (v)=?
In case of the horizontal circle, we have
(i) To balance the weight of the body, TCosθ=mg
T=mgCosθ=0.2∗10Cos30=2.3N
Tension in the string T=2.3N
(ii) To provide the necessary centripetal force, TSinθ=Mv2r
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