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.
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.
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