For given spring mass system, If the time period of small oscillations of block about its mean position is 
, then find n. Assume ideal conditions. The system is in vertical plane and take K 1 = 2K, K 2 = K.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(12)
Let block is pushed down by x from its equilibrium position.
Let extension in springs be y 1 and y 2 as shown in figure.
so restoring force on block F = K 2 y 2
Force in left spring is 2F = K 1 y 1
From constraint motion 2y 1 + y 2 = x
⇒ 2 × 
+ 
= x
⇒ F = 
x = ꞷ 2 x
So ꞷ = 
⇒ T = 2 π 
T = 2 π 
= 
∴ n = 12
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