# circular motion

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#1
a particle is attached by means of a light, inextensible string to a point 0.40m above a smooth horizontal table. the particle moves on the table on a circle of radius 0.30m with angular velocity w. Find the reaction on the particle in terms of w.

Find the maximum angular velocity for which the particle can remain in table.

How do I even approach to his question??
Last edited by andthings; 1 month ago
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1 month ago
#2
To start: first draw a diagram, then pick your coordinate system and then consider all the forces on the particle. Find which forces are in balance.
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1 month ago
#3
I think will give you the answer
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1 month ago
#4
Further hint: the forces on the particle are:

(1) Gravity
(2) Centripetal force from the circular motion
(3) Tension from the string
(4) Reaction, which of course is upwards, opposite to (2).

You should therefore be able to construct a force quadrilateral with these four, and proceed from there.
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1 month ago
#5
(Original post by Justvisited)
(4) Reaction, which of course is upwards, opposite to (2).
I think you meant to reference (1).
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