Two blocks of masses 5 kg and 10 kg are connected by a metal wire going over a smooth pulley as shown in the figure. The breaking stress of the metal wire is 2 x 10 9 N m -2 . If g = 10 m s -2 , then what is the minimum radius of the wire which will not break
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Verified by ExpertsThe correct answer is:
A
This is Atwood's machine. Let the tension in the wire be T and acceleration of masses a.
Then, T - 5g = 5a and 10g - T = 10a
This gives a = 
and 
Stress 
(given)
Thus, the minimum radius r should be r 
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