How Does a Spinning Platform Affect the Period of a Pendulum?

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SUMMARY

The discussion centers on calculating the period of a pendulum mounted on a spinning platform with a constant angular velocity of 0.12 rad/s. The pendulum is 2 meters long and has a mass of 1 kg, positioned 5 meters from the center of rotation. To determine the period, the user must apply the equations of motion, specifically F=mv²/r and a=F/m, while substituting the gravitational acceleration with the effective acceleration due to the platform's rotation. The challenge lies in calculating the radius (r) without a given angle (theta).

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Homework Statement


A pendulum 2 meters long with a mass of 1kg is mounted on a circular platform on the Earth's surface that's spinning at constant angular velocity of .12 rads/sec. The pendulum is mounted on a pole that's perpendicular to the platform at a distance of 5 meters from the center of rotation.

If it's displaced for its equilibrium position, what will be the period of the pendulum?

P.S. My physics teacher said that the diagrams below explains what's happening:

FROM A BIRD'S EYE VIEW-
http://answerboard.cramster.com/answer-board/image/43e827330329f2500585d3862fc2f7af.jpg

FROM A NORMAL VIEW:
http://answerboard.cramster.com/answer-board/image/2bf7be21984fbe2a0b76f2f86b744710.jpg

Now, he mentioned how we must get the force from the equation F=mv2/r and then get the acceleration from a=F/m, but first I need to get r and I have no clue how to do that since theta isn't given. Then I have to replace the acceleration I get for g in the period equation.
Please help!

Homework Equations


a=F/m
a=v2/r
F=mv2/r

The Attempt at a Solution



No clue!?
 
Last edited by a moderator:
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Do you know how to work out the period of a pendulum that's not on a turntable ?

One of the numbers in the equation is the 'return force' on the bob. You'll need to replace that with a different force for the rotating pendulum.
 

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