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A table with smooth horiztonal surface i...

A table with smooth horiztonal surface is truning at an angular speed `omega` abouyt its axis. A groove is made on the surface along a radius and a particle is gently placed inside the groove at a distance a from the centre. Find the speed of the speed of the particle as its distance from teh centre becomes L.

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To solve the problem, we will follow these steps: ### Step 1: Understand the System We have a table rotating with an angular speed \( \omega \). A particle is placed in a groove along the radius of the table at a distance \( a \) from the center. We need to find the speed of the particle when it moves to a distance \( L \) from the center. ### Step 2: Identify Relevant Equations The centripetal acceleration \( a_c \) of the particle in circular motion is given by: \[ ...
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