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Q.

On a smooth inclined plane, a body of mass m is attached between two massless springs. The other ends of the springs are fixed to firm supports. If each spring has force constant k, the period of oscillation of the body is:

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a

2πm2k

b

2π2mk

c

2πmg sin θ2k

d

2π2mg sin θk

answer is A.

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Detailed Solution

keq=k1+k2=2k ⇒T=2πmkeq=2πm2k
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On a smooth inclined plane, a body of mass m is attached between two massless springs. The other ends of the springs are fixed to firm supports. If each spring has force constant k, the period of oscillation of the body is: