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Question
A simple pendulum has a length of 2m and a bob of mass of 100 grams. It is whirled in a horizontal plane. If the string breaks under a tension of 10 N, the angle made by the string with vertical is ______
(g = 10 m/s2)
Options
cos-1(0.05)
cos-1(0.2)
cos-1(0.4)
cos-1(0.1)
MCQ
Fill in the Blanks
Solution
A simple pendulum has a length of 2m and a bob of mass of 100 grams. It is whirled in a horizontal plane. If the string breaks under a tension of 10 N, the angle made by the string with vertical is cos-1(0.1).
(g = 10 m/s2)
Explanation:
L = 2 m
m = `100/1000 = 0.1`kg
TcosΦ = mg
TsinΦ = `(mv^2)/R`
cosΦ = `(mg)/T = (0.1 xx 10)/10 = 0.1`
∴ Φ = cos-1(0.1)
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Simple Pendulum
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