Two springs of force constants `k_(1)` and `k_(2)`, are connected to a mass m as shown. The frequency of oscillation of the mass is `f`. If both `k_(1)` and `k_(2)` are made four times their original values, the frequency of oscillation becomes

Two springs, of force constants k_(1) and k_(2) , are connected to a mass ma as shown. The frequency of oscillation of mass is f . If both k_(1) and k_(2) are made four times their original values, the frequency of oscillation becomes

Two spring of force constants K and 2K are connected a mass m below The frequency of oscillation the mass is

Two springs of force constants K_(1) " and " K_(2) are connected to a mass m as shown I the figure. If both K_(1) " and " K_(2) are made four times their original values, the frequency of oscillation becomes,

Two spring of spring constants k_(1) and k_(2) ar joined and are connected to a mass m as shown in the figure. Calculate the frequency of oscillation of mass m.

Two springs of force constants k_(1) and k_(2) are joined together and the combination is attached to a mass m resting on a frictionless table at one end and clamped to a fixed support at the other. Show the frequency of oscillation of the mass is f = 1/(2pi)sqrt((k_(1)k_(2))/((k_(1) + k-(2)))m [Hint: Let the mass be displaced by x and the clamped end of the second spring by x^(') . Then mf = -k_(1)(x-x^(')) . Considering the first spring and the mass as a single system we have mf = -k_(2)x^(') ]

Two springs are jonied and connected to a mass m as shown in figure. If the force constants of the two springs are k_(1) and k_(2) , shown that frequency of oscillation of mass m is

Infinite springs with force constants k, 2k, 4k, 8k,….. respectively are connected in series to which mass 'm' is attched. The frequency of small oscillations is……..

Four massless springs whose force constants are 2k,2k, k and 2k, respectively, are attached to a mass M kept on a frictionless plane (as shown in figure), If the mass M is displaced in the horizontal direction, then the frequency of oscillation of the system is