question archive Q1: In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth
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Q1: In a science museum, you may have seen a Foucault pendulum, which is used to demonstrate the rotation of the earth. In one museum's pendulum, the 120 kg bob swings from a 16.6- m-long cable with an amplitude of 5.5.
a: What is the period of this pendulum?
b: What is the bob's maximum speed?
c: What is the pendulum's maximum kinetic energy?
d: When the bob is at its maximum displacement, how much higher is it than when it is at its equilibrium position?
Q2: A damped pendulum has a period of 0.78 s sand a time constant of 4.1 s.
a: How many oscillations will this pendulum make before its amplitude has decreased to 25 % of its initial amplitude?
Q1.a) Period = 8.17 sec.
Q1.b) Vmax = 1.22 m/s
Q1.c) KE = 89.304 J
Q1.d) Lmax = 0.0764 m
Q2.a) n = 7.24 periods
For Question 2. a) Take note that the time constant is 2m/b = 4.1 s
Please see the attached file for the complete solution