Question

A simple pendulum has a rod of length LL with a bob of mass m=0.100 kg at the end of the rod. The rod is supposed to be very light and all the mass is imagined to be concentrated in the bob.

A) What is the tension in the string when the pendulum swings by an angle θ=5.00∘?

B) What is the magnitude of the restoring force on the bob when θ=5.00∘?

C) If you drop a perpendicular from the bob to the vertical (see Fig. 3) and let that be xx, you can rewrite the equation of motion as ma=−mg(x/L) or a=−(g/L)x. Find the L needed to make a pendulum whose period T=2.00 s.

D) What must L be for T=1.00 s?

A simple pendulum has a rod of length L with a bob of mass m 0.100 kg at the end of the rod. The rod is supposed to be very lFI6URE 3

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mla Gr uN 0-24849

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