The density of a rod continuously increases from \( A \) to \( B \). It is easier to set it into...

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The density of a rod continuously increases from \( A \) to \( B \). It is easier to set it into rotation by
(1) clamping the rod at \( A \) and applying a force \( F \) at \( B \), perpendicular to the rod
(2) clamping the rod at \( B \) and applying a force \( F \) at \( A \), perpendicular to the rod
(3) clamping the rod at mid point of \( A B \) and applying a force \( F \) at \( A \), perpendicular to the rod
(4) clamping the rod at mid-point of \( A B \) and applying force \( F \) at \( B \), perpendicular to the rod
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