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?