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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.

1. Suppose at time t=0 the pendulum passes the lowest point.

a) What is the pendulum's velocity at t=0?

b) What is the pendulum's kinetic energy at t =0?

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

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

e) Sketch the total energy = kinetic energy + potential energy between t=0 and t = 10.

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