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Q.

A square plate of mass m and side length ‘a’ is  kept as shown in figure. In equilibrium  two of  its side are horizontal  and two are vertical. What is its angular acceleration just after lower spring is cut.

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a

g/a

b

2g/a

c

3g/2a

d

4g/a

answer is C.

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Detailed Solution

Initially in equilibrium conditionFS1+FS2=mg......(1)FS1⋅a2=FS2⋅a2.......(2)∴FS1=FS2=mg2When lower spring is cut, FS2 will immediately become zero.FS1.a2=ma26α⇒α=3g2a
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