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Question: A half kilogram stone, tied to the end of a string of length 1.0 m, is whirled in a vertical circle ...

A half kilogram stone, tied to the end of a string of length 1.0 m, is whirled in a vertical circle with the other end of the string as the centre of the circle. If the angular frequency of the stone is 4 rad/s, what is the tension in the string when the stone is at the lowermost position of the circle ? (take g = 10 m/s2)

A

3 N

B

5 N

C

8 N

D

13 N

Answer

13 N

Explanation

Solution

Tlowest = mg + mrw2

= 12\frac{1}{2} (10) + 12\frac{1}{2} (1) (4)2 = 5 + 8 = 13N