Derivations Flashcards

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1
Q

Derive the wave equation for a stretched string

A
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2
Q

Show that the total momentum of an isolated system is constant

A
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3
Q

Derive the rocket equation by conservation of momentum

A
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4
Q

Derive the parallel axes theorem

A
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5
Q

Derive the perpendicular axes theorem

A
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6
Q

Derive the gyroscope equation

A

Use grip rule to find direction of angular momentum and torque vectors

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7
Q

Derive the relativistic addition of speeds formula

A
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8
Q

Derive the formula for the aberration of light

A
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9
Q

Derive the relativistic Doppler shift for period

A
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10
Q

Derive the kinetic and potential energy density of waves on a stretched string

A

Total energy density can then be found by subbing in the equation of the wave and cancelling terms. Average of sin^2/cos^2=1/2

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