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A string of length L is fixed at on...

A string of length L is fixed at one end and carries a mass M at the other end. The string makes ` ( 2 ) / ( pi ) ` rev/s around the vertical axis through the fixed end as shown in figure, then tension in string is

A

ML

B

2 ML

C

4 ML

D

16 ML

Text Solution

Verified by Experts

The correct Answer is:
D
Consider the motion of the mass as shown below.

Balancing forces are get
` T sin theta = M omega ^ 2 L sin theta `
or ` T = M omega ^ 2 L = M 4pi ^ 2 v ^ 2 L `
` = M 4pi ^ 2 (( 2 )/( pi ) ) ^ 2 L = 16 M L `
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