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Q.

A thin uniform rectangular plate of mass m and sides a = 4 m, b = 3m is suspended from horizontal rigid roof by four inextensible wires of same length l as shown in figure. T1, T2 and T3 are time periods of small oscillations respectively when the plate is given small horizontal displacement along AB, AD and AC. Then which of the following option is correct.

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a

T3>T2>T1

b

T3>T1=T2

c

T3

d

T1=T2=T3

answer is D.

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Detailed Solution

T1=T2=T3=2πlg

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A thin uniform rectangular plate of mass m and sides a = 4 m, b = 3m is suspended from horizontal rigid roof by four inextensible wires of same length l as shown in figure. T1, T2 and T3 are time periods of small oscillations respectively when the plate is given small horizontal displacement along AB, AD and AC. Then which of the following option is correct.