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Chapter 6 Lecture: Principle of Equivalence

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130 CHAPTER 6. LECTURE: PRINCIPLE OF EQUIVALENCE<br />

Torsion balance<br />

Equal weights <strong>of</strong><br />

different materials<br />

Figure 6.1: Experiment to measure the difference between gravitational and inertial<br />

mass.<br />

If the inertial and gravitational masses differ a couple will be produced<br />

by the action on the inertial mass <strong>of</strong> the centripetal effects associated<br />

with Earth’s rotation and the balance will twist.<br />

The result <strong>of</strong> the original Eötvös experiment was that the inertial and<br />

gravitational masses are proportional to each other with a sensitivity<br />

<strong>of</strong> one part in 10 9 (now 10 13 ).<br />

Weak <strong>Principle</strong> <strong>of</strong> <strong>Equivalence</strong>:<br />

m inertial = m grav.<br />

(All particles experience the same acceleration in a gravitational<br />

field, irrespective <strong>of</strong> their masses.)

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