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Q.

Three point masses each of mass ‘m’ are joined together using a string to form an equilateral triangle of side ‘a’. The system is placed on a smooth horizontal surface and rotated with a constant angular velocity ‘w’ about a vertical axis passing through the centroid. Then the tension in each string is

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a

maω23

b

maω2

c

3maω2

d

maω23

answer is D.

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Detailed Solution

Distance of each mass from the centroid is r = 3a
So, the tension in the strings will be
T = mrω2
   = m(3​a)ω2
Tension in each string will be
T′ = T/3​ = 3maω23=maω23​​

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