The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by a relation of the type f = c m x k y , where c is a dimensionless constant. The values of x and y are

Question

The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by a relation of the type f = c m x k y , where c is a dimensionless constant. The values of x and y are, x = 1 2 , y = 1 2, x = - 1 2 , y = - 1 2, x = 1 2 , y = - 1 2, x = - 1 2 , y = 1 2

MARKS App · Accepted Answer

f = c m x k y ; Spring constant k = f o r c e / l e n g t h . M 0 L 0 T - 1 = M x MT - 2 y = M x + y T - 2 y ⇒ x + y = 0 , - 2 y = - 1 or y = 1 2 Therefore, x = - 1 2

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