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) Sketch the kinetic energy as a function of time between t =0 and t = 10.
b) Sketch the total energy = kinetic energy + potential energy between t=0 and t = 10.
c)
Suppose the pendulum started losing energy at the rate 1% per period. As a result, the energy of the pendulum drops according to E(t) = E(t=0)*exp(-z*t). Let’s call z damping constant, it has units 1/sec.
Find z.
d) Sketch E(t) for the time span of a few hundred periods.
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A pendulum has a length 1 m and a mass 1 kg. Assume Earth free
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At the end of its swing (point B), it has 0.45 J of
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Determine the total mechanical energy of the pendulum when it is
halfway in height (point A) between its lowest point and the end of
its swing.
Show your calculations/explain your reasoning.
В A lowest point
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