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In the figure shown on the right, a pendulum has a bob with mass m at the end of

ID: 2106335 • Letter: I

Question

In the figure shown on the right, a pendulum has a bob with mass m at the end of a thin wire of length L. Instead of swinging back and forth, the bob is to move in a horizontal circle with constant speed v with the wire making a fixed angle β with the vertical direction. (15 points)

Obtain the expression for the tension, T, in the wire in terms of the angle β and the mass, m.

Obtain the expression for the period τ (the time for one revolution of the bob), of the revolution of the bob, in terms of the length, L, and the angle β

Explanation / Answer

figure ?/


angel be theta


T = [ (mgsintheta ) + ( mv^2/r )*cos theta ] N


T = [2*pie*L *costheta / v ] sec

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