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Maximum speed of a stone whirled in a horizontal circle before the string breaks

This type of question, asked 3 times: 14 Jun 2022, 31 Jan 2023, 1 Feb 2024. All 3 questions below, oldest first.

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  1. Question 1

    14 Jun 2022

    7
    A boy ties a stone of mass 100 g100\text{ }g to the end of a 2 mm long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of 80 N80\text{ }N. If the maximum speed with which the stone can revolve is Kπrev\frac{K}{\pi}rev. / min⁡\min. The value of KK is : (Assume the string is massless and unstretchable)

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  2. Question 2

    31 Jan 2023

    95
    A stone of mass 1 kg1\text{ }kg is tied to end of a massless string of length 1 m1\text{ }m. If the breaking tension of the string is 400 N400\text{ }N, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is:

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  3. Question 3

    1 Feb 2024

    7
    A ball of mass 0.5 kg0.5\text{ }kg is attached to a string of length 50 cm50\text{ }cm. The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is 400 N400\text{ }N. The maximum possible value of angular velocity of the ball in rad/srad/s is:

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