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Q.

A mass ‘M’ is suspended from a light spring An additional mass ‘m’ added displaces the spring further by a distance'x' . Now the combined mass will oscillate in the spring with a period

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a

T=2πmgx(M+m)

b

T=2π(M+m)xmg

c

T=2πM+mmgx

d

T=2πmgxM+m

answer is B.

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Detailed Solution

Time period – of spring block system is given by,

T=2πmass of blockspring constant

(M+m)→ Mass of block

Spring constant k=mgx  

At equilibrium,

(M+m)g=k(x0+x)

(or)

 mg=kx

T=2π(M+m)mgx

=2π(M+m)xmg

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