A spring system execute SHM if a load is added to it, then period of mass spring system will be: A. increase B. decrease C. Remains the same D. None of these
Question
A spring system execute SHM if a load is added to it, then period of mass spring system will be: A. increase B. decrease C. Remains the same D. None of these
Solution
The period of a mass-spring system in simple harmonic motion (SHM) is given by the formula T = 2π√(m/k), where m is the mass and k is the spring constant. If a load is added to the system, this effectively increases the mass m. Since m is in the numerator of the fraction under the square root, an increase in m will result in an increase in the value of the entire square root. Therefore, the period T of the mass-spring system will increase. So, the answer is A. increase.
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