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Q: Inverted pendulum using discrete and continuous controller?
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What is spring loaded inverted pendulum?

The Spring Loaded Inverted Pendulum (SLIP) model is an attempt at describing running motion through a spring-mass model. The SLIP model is depicted as an energy conserving system with a point mass as the body and a massless spring as the leg and foot.


What keeps a pendulum clock swinging backwards and forwards?

A pendulum clock swings back and forth due to the force of gravity pulling the pendulum downward as it swings. The inertia of the swinging pendulum keeps it moving in a continuous motion, with the escapement mechanism regulating its timing to ensure accuracy.


How pendulum can change the direction on its own?

A pendulum changes direction on its own due to the conservation of energy. As the pendulum swings back and forth, it converts potential energy to kinetic energy and back again. This continuous exchange of energy allows the pendulum to reverse its direction without any external force.


What are the formulas for Inverted pendulum model of walking?

T=2 pi srq (L/g) and omega= (2 pi /T) is simple pendulum Vw = 2 L/T natural speed of walking Fr=V^2 /(gL) Froude number


What forms of energy does a pendulum utilize?

A pendulum primarily utilizes gravitational potential energy and kinetic energy. As the pendulum swings, energy is transferred between these two forms, with the height of the pendulum determining the potential energy and the speed of the pendulum determining the kinetic energy.


What makes a pendulum swing back and fourth?

A pendulum swings back and forth due to the force of gravity acting on it. As the pendulum is displaced from its resting position, gravity pulls it back towards the center, causing it to swing in the opposite direction. The pendulum's kinetic energy and potential energy constantly alternate as it swings, resulting in a continuous back-and-forth motion.


What are some of the classical mechanics for a Slinky?

Some of the classical mechanics for a slinky include The Klein Gordon Equation, Phase Velocity, Group Velocity, and The Sine-Gordon or Pendulum Equation. There is also Electrostatics, and The Discrete Fourier Transform.


Why a compound pendulum is called equivalent simple pendulum?

Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.


How does the length of the pendulum effect the pendulum?

The longer the length of the pendulum, the longer the time taken for the pendulum to complete 1 oscillation.


Why is a pendulum not a reliable time standard?

A pendulum may not be a reliable time standard because its swing can be affected by factors like air resistance, temperature changes, and vibrations, leading to fluctuations in its period. This can result in inaccuracies in timekeeping over long periods. Electrically powered oscillators, like atomic clocks, are more stable and accurate time standards because they are less affected by external influences.


How can you relate the pendulum in daily life?

The swinging motion of a pendulum can be seen in the movement of a swinging door or a rocking cradle. It can also be applied in the concept of timekeeping with pendulum clocks. Additionally, the idea of a pendulum's swing can be related to decision-making processes and finding balance in life.


The weight on a pendulum is called?

The weight on a pendulum is called a bob or pendulum bob. It is a mass that hangs from the end of the pendulum arm and helps determine the period of oscillation.