Consider the system of two wagons shown in figure. The natural

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Consider the system of two wagons shown in figure. The natural frequencies of this system are

1. 0 , √2k / m
2. √k / m , √2k / m
3. √k / m , √k / 2m
4. 0 , √k / 2m

Correct Option: A

Natural frequencies will be ( 0 , √2k / m )

For small displacement

θ =	a	=	b
	300		150

Taking moment about hinged point ‘O’
k.a (0.3) = Wb
⇒ K(0.3)² = 300 × 0.150

K =	300 × 0.150	= 500 N / m
	0.3²