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A simple pendulum consists of a ball of mass M hanging from a uniform string of

ID: 1730151 • Letter: A

Question

A simple pendulum consists of a ball of mass Mhanging from a uniform string of mass m and lengthL, with m << M. If the periodof oscillation for the pendulum is T, determine the speedof a transverse wave in the string when the pendulum hangs at rest.Express your answer using M, m, T, and g to represent M,m, T, and 9.8 m/s2, respectively.
A previous answer I retreived from Cramster used T = Mg to solvethis problem, but that T is for tension, not the period. Ibegan with v =(T/) and used = m/L but was notable to remove L from the equation.
A simple pendulum consists of a ball of mass Mhanging from a uniform string of mass m and lengthL, with m << M. If the periodof oscillation for the pendulum is T, determine the speedof a transverse wave in the string when the pendulum hangs at rest.Express your answer using M, m, T, and g to represent M,m, T, and 9.8 m/s2, respectively.
A previous answer I retreived from Cramster used T = Mg to solvethis problem, but that T is for tension, not the period. Ibegan with v =(T/) and used = m/L but was notable to remove L from the equation.

Explanation / Answer

V = (F / ) = (M g / (M / L)) = (gL)
T = 2 (L / g) the period of a simplependulum L = g T2 / (4 2) Substitute for L in the first equation   
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