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Springs of spring constant k, 2k, 4k , 8...

Springs of spring constant k, 2k, 4k , 8k, …. Are connected in series. A block of mass 50 kg is attached to the lower end of the last spring and the system is set into oscillation. If k = 3.0 N/cm, what is the time period of oscillations ?

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To find the time period of oscillations for the given system of springs connected in series, we can follow these steps: ### Step 1: Identify the Spring Constants The spring constants of the springs in series are given as \( k, 2k, 4k, 8k, \ldots \). This forms a geometric series where: - First term \( a = k \) - Common ratio \( r = 2 \) ### Step 2: Write the Formula for Equivalent Spring Constant ...
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