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Top Conceptual Questions for Rotational Mechanics

1) If the total external force acting on a rigid body is zero, then
(a) only linear momentum remains constant
(b) only angular momentum remains constant
(c) both linear momentum and angular momentum remains constant
(d) neither linear momentum nor angular momentum remain constant

2) A ball of mass M is tied to a string of length L is whirled round in a horizontal plane in a circle of radius R. The speed of the stone is increased beyond the maximum permissible value and the string breaks suddenly; then
(a) the stone will jerk radially outwards

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Integration of irrational functions

Introduction The integration of irrational functions, which involves incorporating radicals (or root functions) into the integrand, is a challenging yet intriguing area of calculus. These functions often contain variables under a square root or higher-order roots, such as $\sqrt{x}$, $\sqrt[3]{x^2 + 1}$, and similar forms. This article delves into the methods and applications of integrating

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