Two wires are tied to the 2.0 kg sphere shown in FIGURE P8.45. The sphere revolves in a horizontal circle at constant speed. a. For what speed is the tension the same in both wires? b. What is the tension?
a) The tension in both wire should be same for the speed of 2.91 m/sec
b) Tension in wires at that speed is T =14.34 N
Mass of the ball =2 kg
The tension in each string is same.
The diagram shows the arrangement
Lets first draw the free body diagram and then equate horizontal and vertical forces.
Given T1=T2 , So after solving equation (1) and(2), we get
Find the r using the triangle M L N and L N Q, we get
r= 0.866 m
Upon substituting in equation (3) we get
Tension in both string are equal
Mass of the ball is 2 kg
Substitute T1=T2=T and m= 2kg and g=9.8m/s2 in equation (2)
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