Question

The time period of oscillations of a block attached to a spring, undergoing simple harmonic motion is dependent
on the mass of the block (m) and the spring constant (k). Assuming that the time period of the block is
proportional to some power of mass (m) and the spring constant (k), find the expression for the time period of
the block using dimensional analysis. It is given that the dimension of the spring constant is [MLºT?)​

Answer 1

Explanation:

What conditions must be met to produce SHM? The restoring force must be proportional to the displacement and act opposite to the direction of motion with no drag forces or friction. The frequency of oscillation does not depend on the amplitude.

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