A body weighing \(0.4kg\) is whirled in a vertical circle making two revolutions per second. If the radius of the circle is \(1.2m\), Find the tension in the string when the body is; (i) at the bottom of the circle? and (ii) at the top of the circle?
Ans:(i) \(T_{L}=79.32N\) and (ii) \(T_{H}=71.88N\)..
A body of mass \(0.5kg\) is tied to a string of length \(1m\) is revolved in a vertical circle with a constant speed. Find: the minimum speed at which there will be no slack in the string. Take: \(g=10\frac{m}{s^{2}}\).
Ans: \(V_{min}\ge\sqrt{10}\frac{m}{s}\).
A mass \(m\) is revolving in a vertical circle at the end of a string of length \(1m\). Find: the difference between the tension at lowest and the tension at the highest point.
Ans: \(T_{L}-T_{H}=6mg\).
In a circle the diameter of globe of death is \(20m\). Find: what minimum height must a cyclist start in order to go round the globe successfully?
Ans: \(h_{min}=25m\).
A weightless thread can bear tension upto \(3.7kg-wt\). A stone of mass \(\frac{1}{2}kg\) is tied to it and revolves in a circular path of radius \(4m\) in a vertical plane. If \(g=10\frac{m}{s^{2}}\) then what will be the maximum angular velocity of stone?
