You are at a furniture store and notice that a Granfather clock has its time reg

ID: 1272335 • Letter: Y

Question

You are at a furniture store and notice that a Granfather clock has its time regulated by a physical pendulum that consists of a rod with a moveable weight on it. When the weight is moved downward, the pendulum slows down; when it is moved upward, the pendulum swings faster. If the rod has a mass of 1.23 kg and a length of 1.25 m and the weight has a mass of 1.81 kg where should the mass be placed to give the pendulum a period of 2.00 seconds? Measure the distance in meters from the top of the pendulum.

Explanation / Answer

T=2pi/w

or w=pi rad/s

also,

let the distance be x m.so,

balancing torques,

1.23*1.25*0.5*9.8+1.81*9.8*x=(1.23*1.25^2/3 +1.81*x^2)w^2

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You are at a furniture store and notice that a Granfather clock has its time reg

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