A $$1$$ kg block attached to a spring vibrates with a frequency of $$1$$ Hz on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an $$8$$ kg block placed on the same table. So, the frequency (in$$ $$Hz) of vibration of the $$8$$ kg block is $$_____$$.

Question

Infinity Learn · Accepted Answer

If $$1$$ kg block attached to a spring vibrates with a frequency,$$v=12$$$$π$$$$km=1Hz$$⇒ $$k=4$$$$π$$$$2Nm$$−$$1When$$ two springs are attached in parallel to an $$8$$ kg block, $$thenkeq=k+k=2kFrequency$$, v′$$=12$$$$π$$keqm′$$=12$$$$π$$$$2k8=12$$$$π$$$$2$$×$$4$$$$π$$$$28=12Hz=0.5Hz$$

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A 1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an 8 kg block placed on the same table. So, the frequency (in Hz) of vibration of the 8 kg block is _____.

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Applications of SHM

Remember concepts with our Masterclasses.

A 1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an 8 kg block placed on the same table. So, the frequency (in Hz) of vibration of the 8 kg block is _____.

If 1 kg block attached to a spring vibrates with a frequency,v=12πkm=1Hz⇒ k=4π2Nm−1When two springs are attached in parallel to an 8 kg block, thenkeq=k+k=2kFrequency, v′=12πkeqm′=12π2k8=12π2×4π28=12Hz=0.5Hz

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