True or false

Physics Jan 05, 2021

True or false. Increasing the mass attached to a spring will decrease the period of its vibrations.

Expert Solution

For ideal spring Period of vibration $T=2\pi \sqrt{\frac{m}{k}}$

where T is the period, m is the mass of the object attached to the spring, and k is the spring constant of the spring. The equation can be interpreted to mean that more massive objects will vibrate with a longer period. Their greater inertia means that it takes more time to complete a cycle. And springs with a greater spring constant (stiffer springs) have a smaller period; masses attached to these springs take less time to complete a cycle. Their greater spring constant means they exert stronger restoring forces upon the attached mass. This greater force reduces the length of time to complete one cycle of vibration.

So, the statement is false.

So, the given statement is false

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