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The center of suspension of a compound pendulum is the fixed point about which the pendulum rotates, typically where it is hinged. The center of oscillation is the theoretical point at which the entire mass of the pendulum could be concentrated to produce the same period of oscillation as the actual pendulum.
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What are the center of suspension and center of oscillation of a compound pendulum?
The center of suspension of a compound pendulum is the point of support from which it hangs, typically the pivot point. The center of oscillation is the theoretical point at which the entire mass of the compound pendulum can be considered to be concentrated to analyze its motion as a simple pendulum.
What will be the period of oscillation of a bar pendulum if center of suspension coincide with the center of gravity?
If the center of suspension coincides with the center of gravity in a bar pendulum, the period of oscillation will be constant, meaning the bar pendulum will not oscillate as the forces acting on it will be in equilibrium. The system will be in a stable position and there will be no oscillations.
What is center of oscillation?
The center of oscillation is the point along a pendulum where all its mass can be concentrated without affecting its period of oscillation. It is the point at which an equivalent simple pendulum would have the same period as the actual compound pendulum.
What does lengh represent in an oscillation of a pendulum?
In the context of a pendulum, the length represents the distance from the point of suspension to the center of mass of the pendulum. The length of the pendulum affects the period of its oscillation, with longer pendulums having a longer period and shorter pendulums having a shorter period.
Point of oscillation of simple pendulum?
The point of oscillation of a simple pendulum is the equilibrium position where the pendulum comes to rest when there is no external force acting on it. It is the bottom-most point of the pendulum's swing where the potential energy is at a minimum and the kinetic energy is at a maximum. This point marks the center of the pendulum's oscillation movement.
What are the center of suspension and center of oscillation of a compound pendulum?
The center of suspension of a compound pendulum is the point of support from which it hangs, typically the pivot point. The center of oscillation is the theoretical point at which the entire mass of the compound pendulum can be considered to be concentrated to analyze its motion as a simple pendulum.
What will be the period of oscillation of a bar pendulum if center of suspension coincide with the center of gravity?
If the center of suspension coincides with the center of gravity in a bar pendulum, the period of oscillation will be constant, meaning the bar pendulum will not oscillate as the forces acting on it will be in equilibrium. The system will be in a stable position and there will be no oscillations.
What is center of oscillation?
The center of oscillation is the point along a pendulum where all its mass can be concentrated without affecting its period of oscillation. It is the point at which an equivalent simple pendulum would have the same period as the actual compound pendulum.
What does lengh represent in an oscillation of a pendulum?
In the context of a pendulum, the length represents the distance from the point of suspension to the center of mass of the pendulum. The length of the pendulum affects the period of its oscillation, with longer pendulums having a longer period and shorter pendulums having a shorter period.
What is the difference between coupled pendulum and simple pendulum?
simple pendulum center of mass and center of oscillation are at the same distance.coupled pendulum is having two bobs attached with a spring.
Point of oscillation of simple pendulum?
The point of oscillation of a simple pendulum is the equilibrium position where the pendulum comes to rest when there is no external force acting on it. It is the bottom-most point of the pendulum's swing where the potential energy is at a minimum and the kinetic energy is at a maximum. This point marks the center of the pendulum's oscillation movement.
What is center of suspension in bar pendulum?
The center of suspension in a bar pendulum is the point about which the bar is free to rotate. It is the pivoting point that allows the bar to swing back and forth. The center of suspension is usually located at the top end of the bar where it is connected to a fixed point.
How to find the length of a pendulum?
The length of a pendulum can be found by measuring the distance from the point of suspension to the center of mass of the pendulum bob. This distance is known as the length of the pendulum.
How can one determine the length of a pendulum?
The length of a pendulum can be determined by measuring the distance from the point of suspension to the center of mass of the pendulum bob. This length affects the period of the pendulum's swing.
When is the period of a compound pendulum is minimum?
The period of a compound pendulum is minimum when the center of mass of the pendulum is at its lowest point (lowest potential energy) and the maximum kinetic energy occurs. This happens when the pendulum is in a vertical position.
What is the lenght of the equivalent of simple pendulum?
The length of an equivalent simple pendulum is the distance from the pivot point to the center of mass of the object in question. This length is important in calculating the period of oscillation for the system.
What is the period of compound pendulum when pivot point and centre of gravity of a body is same?
When the pivot point and center of gravity of a body coincide in a compound pendulum, the period of the pendulum is independent of the mass and length of the pendulum. The period is solely determined by the distance between the pivot point and the center of gravity, which is known as the equivalent length of the pendulum.
