Two springs are connected to a block of mass $M$ placed on a frictionless surface as shown in the figure. If both the springs have a spring constant $k$ , the frequency of oscillation of the block is

Question

Two springs are connected to a block of mass M placed on a frictionless surface as shown in the figure. If both the springs have a spring constant k , the frequency of oscillation of the block is

TestHub · Accepted Answer

The spring constant of spring connected in series is equal to k s ​ = k 1 ​ + k 2 ​ k 1 ​ k 2 ​ ​ = 2 k ​ ( F or ​ k = k 2 ​ = k ) Thus frequency of oscillation of given system is f = 2 π 1 ​ 2 m k ​ ​

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