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A pendulum has a length 1 m and a mass 1 kg. Assume Earth free fall...

A pendulum has a length 1 m and a mass 1 kg. Assume Earth free fall acceleration equal to 10 m/s^2. When the pendulum oscillates, the maximal deflection angle is +/- 1 degree.

a) If the pendulum moves to Jupiter, what would be the period?

b) Suppose at time t=0 the pendulum passes the lowest point 1.10 What is the pendulum’s velocity at t=0?

c) What is the pendulum’s kinetic energy at t =0?

d) Sketch the deflection angle as a function of time between t =0 and t = 10.

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Answer #1

Length, L=1 m

Mass, m=1 Kg

Earth's gravitational acceleration, g =10m/s2

a)

Period of pendulum at the surface of Jupiter

Period of simple pendulum,

  

gJupitor = 25 m/s2

=1.256 s

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