As a result the upper vertical position, which is unstable in a mathematical pendulum, can become stable in Kapitza's pendulum.
2.
The total energy is conserved in a mathematical pendulum, so time t dependence of the potential E _ \ mathrm { POT } and kinetic E _ \ mathrm { KIN } energies is symmetric with respect to the horizontal line.
3.
The first minimum is in the same position ( x, y ) = ( 0,-l ) as the mathematical pendulum and the other minimum is in the upper vertical position ( x, y ) = ( 0, l ).
4.
The kinetic energy in addition to the standard term E _ \ mathrm { KIN } = m l ^ 2 \ dot \ varphi ^ 2 / 2, describing velocity of a mathematical pendulum, there is a contribution due to vibrations of the suspension
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