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A rod of length l,𝑙, mass m are connected to two springs of spring constant K𝐾 each. Find the frequency of small oscillation

Question

A rod of length l, mass m are connected to two springs of spring constant K each. Find the frequency of small oscillation.

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Solution

The frequency of small oscillation can be found using the formula for the frequency of a mass-spring system.

Step 1: Identify the given values. Length of the rod (l), mass of the rod (m), and spring constant (K).

Step 2: Understand the system. The rod is connected to two springs, so the total spring constant for the system is 2K.

Step 3: Use the formula for the frequency of a mass-spring system. The formula is f = 1/(2π) * √(k/m), where f is the frequency, k is the spring constant, and m is the mass.

Step 4: Substitute the given values into the formula. f = 1/(2π) * √((2K)/m)

This is the frequency of small oscillation for the system.

This problem has been solved

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