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A weightless thread can bear tension upt...

A weightless thread can bear tension upto 37 N . A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane . If g =10`ms^(-2) `, then the maximum angular velocity of the stone will be

A

4 radians/se

B

16 rad/sec

C

`sqrt(21)` rad/sec

D

2 rad/sec

Text Solution

Verified by Experts

The correct Answer is:
A
`T_("max") = 3.7 kgwt = 37 N` (at lowest point)
`T_("max") = (mv^(2))/r + mg`
`rArr 37 = momega^(2)r + mg`
`rArr omega^(2) = 16 rArr omega = 4 "rad"//"sec"`
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