Two block of masses 1 kg and 2 kg are connected by a metal wire going over a smooth pulley as shown in figure. The breaking stress of the metal is . What should be the minimum radius of the wire used. If it is not to break?
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Answer-1
To avoid breaking, this stress should not exceed the breaking stress.
Let the tension in the wire be T.
The equation of motion of the two blocks are
Eliminating 'a' from these equations
If the minimum radius needed to avoid breaking is r,