Define Period of a pendulum. _______ Draw two free body diagrams for a pendulum:

Question

Define Period of a pendulum. _______ Draw two free body diagrams for a pendulum: one at rest and the other while in motion. Does the period on the mass of the pendulum? Explain. _______ A simple pendulum of length l = 0.800 m has a mass of m = 0.250 kg. What is the tension in the string (T) when it is at rest? Show your calculations. What is the period for that pendulum? Show your calculations. How would the period change if the length of the pendulum increases four times? Explain your answer. How would the period change if the mass of the pendulum increases four times? Explain your answer.

Explanation / Answer

When at rest,

a_c = 0

Fnet = FT - mg = 0

FT = m g = 0.250 x 98 = 2.45 N

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Time period, T = 2pi sqrt(L/g) = 2 x pi x sqrt(0.800 / 9.8 )

T = 1.80 sec

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L is increase to 4 times.

then T will increase by sqrt(4) times. ( sqrt(4) = 2)

T will be doubled

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T is independent of mass hence there will be no change in time period.

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