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What is PAN?...

What is PAN?

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The pan attached to a spring balance has a mass of 1 kg. A weight of kg when placed on the pan stretches the spring by 10 cm. What is the frequency with which the empty pan will oscillate ?

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In a experiment it was found that the string vibrated in three loops when 8 g were placed on the scale pan. What must be placed on the pan to make the string vibrate in six loops? Neglect the mass of the string and the scale pan.

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in an experiment it was found that string vibrates in n loops when a mass M is placed on the pan. What mass should be placed on the pan to make it vibrate in 2n loops with same frequency ? ( neglect the mass of pan )