The atwood machine shown is suspended from a spring balance. The mass on one hanger is $M$ , that on other is $(M + m)$ . Suppose the heavier side (right side) hanger is fastened to the top of pulley by a thread. The scale reads $(2 M + m) g$ . The thread is burned and the system accelerates. The reading of spring balance now will be -

Same as before

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More than before

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Less than before

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Solution

The correct option is C Less than before
Before the burn $F_{s} = M_{t o t a l} g = (2 M + m) g$

After the burn the situation is as shown in figure

F.B.D of whole system:
$(2 M + m) g - F_{s} = (2 M + m) a_{cm}$
$∴ F_{s} < (2 M + m) g$

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The correct option is C Less than beforeBefore the burn Fs=Mtotalg=(2M+m)g After the burn the situation is as shown in figure F.B.D of whole system: (2M+m)g−Fs=(2M+m)acm ∴Fs<(2M+m)g

The correct option is C Less than before
Before the burn $F_{s} = M_{t o t a l} g = (2 M + m) g$

After the burn the situation is as shown in figure

F.B.D of whole system:
$(2 M + m) g - F_{s} = (2 M + m) a_{cm}$
$∴ F_{s} < (2 M + m) g$