Physics

Problem

A stone of mass

0.50\,\text{kg}

is whirled in a horizontal circle at the end of a light string

1.2\,\text{m}

long. The string can withstand a maximum tension of

150\,\text{N}

. a. (a) Derive an inequality that the time period

T

of revolution must satisfy so that the string does not break. b. (b) Calculate the minimum permissible time period and the corresponding linear speed of the stone.

Intuitive explanation

The key is recognizing that circular motion requires centripetal force, which here comes entirely from string tension. As speed increases, tension grows with $v^2$ , so the string breaks at a specific maximum speed. Find that speed by setting tension equal to its breaking point, then use it to determine the largest circle the stone can safely complete.

Intuitive explanation

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