angle a to The lower end of a uniform rod, inclined initially at an the horizon, is placed on a smooth horizontal table. A horizontal force is applied to its lower end of such a magnitude that the rod rotates in a vertical plane with constant angular velocity w. Show that when the rod is inclined at an angle to the horizon the magnitude of the force is mg cot 0-ma w² cos 0, where m is the mass of the rod.

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a to
The lower end of a uniform rod, inclined initially at an angle
the horizon, is placed on a smooth horizontal table. A horizontal force is applied
to its lower end of such a magnitude that the rod rotates in a vertical plane with
constant angular velocity w. Show that when the rod is inclined at an angle to
the horizon the magnitude of the force is
mg cot 0 - ma w² cos 0,
.
where m is the mass of the rod.
Transcribed Image Text:a to The lower end of a uniform rod, inclined initially at an angle the horizon, is placed on a smooth horizontal table. A horizontal force is applied to its lower end of such a magnitude that the rod rotates in a vertical plane with constant angular velocity w. Show that when the rod is inclined at an angle to the horizon the magnitude of the force is mg cot 0 - ma w² cos 0, . where m is the mass of the rod.
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