A particle describes the curve r = ae^theta with constant angular velocity. Show
that its radial acceleration is zero and the transverse acceleration varies as its
distance from the pole.
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SOLUTION
TO PROVE
A particle describes the curve with constant angular velocity. Show that its radial acceleration is zero and the transverse acceleration varies as it's distance from the pole.
EVALUATION
Here the given curve is
Now
Here
∴ Radial acceleration
∴ Transverse acceleration
∴ Radial acceleration = 0
Hence radial acceleration is zero and the transverse acceleration varies as it's distance from the pole.
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