Pendulum period for small angle oscillations


1) A solid disk (r=0.20 m, M=0.50 kg) is suspended from the end of an L=0.30m long rod (m=0.30kg, crosssectional area of 2.0 cm^2).This pendulum is suspended on a frictionless pivot on the rod at the end opposite to the disk. What is the pendulum's period for small angle oscillations?

2) At an air show, a girl is standing by a 250 m tower and notices the flag on top suddenly waving. Then, 0.55 s later, she is startled by an unexpected sonic boom. At what Mach number must the jet have been flying judging by the time delay between the two events?

3) The random noise level of a buzzing mosquito is 32dB and that heard in a typical classroom is 71dB. How many mosquitos are required to make a noise level equivalent to that heard in a typical classroom?

4) For the capacitor network C1=3.00 uF, C2= 1.00 uF, C3=4.00 uF, C4=2.00uF, C5=5.00 uF, C6=10.00uF. Find the net charge, uQ, stored on all capacitors.? (v=20)

5) Three charges q1=15mC, q2=8mC and q3=-12mC are assembled from infinitely far away to the locations q1(3,4); q2(-3,1) and q3(2,-1) with the locations indicated in cm as (x,y) for each of the charges.

a) At these locations, what is the charge collection's electric potential energy, U?

b) What electric potential energy will a fourth charge q4=4mC and located at the origin with respect to the other three charges experience?

c) What voltage , V, would q4 experience due to those other three charges q1,q2,q3?

d) What is the potential, V, AT POINT (2,2) Due to all four charges?

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Physics: Pendulum period for small angle oscillations
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