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Question
The bob of a simple pendulum is given a velocity in horizontal direction when the bob is at lowest position ,so that the bob describes vertical circle of radius equal to length of pendulum and tension in the string is 10 N when the bob is at an angle 600 from lowest position of vertical circle. The tension in the string when the bob reaches highest position is (The mass of bob is 100 gram. g=10 ms–2):
The bob of a simple pendulum is given a velocity in horizontal direction when the bob is at lowest position ,so that the bob describes vertical circle of radius equal to length of pendulum and tension in the string is 10 N when the bob is at an angle 600 from lowest position of vertical circle. The tension in the string when the bob reaches highest position is (The mass of bob is 100 gram. g=10 ms–2):
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Solution
The correct option is B 5.5 N
For a body of mass ′m′ moving in a vertical circle, Tension in the string at highest point and Tension at any angle θ with vertical is related as:-T−TH=3mg(1+cosθ)Substituting the values 10−TH=3(0.1)(10)(1+cos600)=4.5⇒TH=5.5 N
For a body of mass ′m′ moving in a vertical circle, Tension in the string at highest point and Tension at any angle θ with vertical is related as:-
T−TH=3mg(1+cosθ)
Substituting the values
10−TH=3(0.1)(10)(1+cos600)=4.5⇒TH=5.5 N
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