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Q.

A ball of mass m is suspended from the ceiling with the help of an elastic cord. An additional downward force applied on the ball, if increased gradually to a value  F0, the cord would break. What should be the additional minimum constant force F that will break the cord ?

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a

F=12F0

b

F=12F0+mg

c

F=12F0−mg

d

F=12F0+mg

answer is A.

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Detailed Solution

F0=kx0⇒ x0=F0k: displacement from mean position For minimum value of FWF=ΔU+Δk; ΔU=ΔUe+ΔUg⇒Fx0=12kx02⇒F=kx02=F02
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