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Why a compound pendulum is called an equivalent simple pendulum?
A compound pendulum is called an equivalent simple pendulum because its motion can be approximated as that of a simple pendulum with the same period. This simplification allows for easier analysis and calculation of its behavior.
Differences between compound pendulum and 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.
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 is the advantages of compound pendulum over simple pendulum by sheth publish?
The compound pendulum has a larger moment of inertia and can be used to study more complex motions compared to the simple pendulum. It is also more sensitive to changes in gravitational acceleration, making it suitable for experiments that require high precision measurements. Additionally, the compound pendulum can exhibit chaotic behavior, allowing for the study of nonlinear dynamics.
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.
Why a compound pendulum is called an equivalent simple pendulum?
A compound pendulum is called an equivalent simple pendulum because its motion can be approximated as that of a simple pendulum with the same period. This simplification allows for easier analysis and calculation of its behavior.
Is oscillation of compound pendulum or simple pendulum is perfectly simple harmonic motion?
A simple pendulum exhibits simple harmonic motion
Differences between compound pendulum and 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.
What are difference between simple pendulum and compound pendulum?
A simple pendulum has one piece that swings. A complex pendulum has at least two swinging parts, attached end to end. A simple pendulum is extremely predictable, while a complex pendulum is virtually impossible to accurately predict.
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 is the advantages of compound pendulum over simple pendulum by sheth publish?
The compound pendulum has a larger moment of inertia and can be used to study more complex motions compared to the simple pendulum. It is also more sensitive to changes in gravitational acceleration, making it suitable for experiments that require high precision measurements. Additionally, the compound pendulum can exhibit chaotic behavior, allowing for the study of nonlinear dynamics.
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 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 the time taken for a simple pendulum to swing to and fro in one cycle call?
The time taken for a simple pendulum to swing to and fro in one cycle is called the period of the pendulum.
What are the disadvantages of compound pendulum?
Some disadvantages of a compound pendulum include increased complexity in the design and analysis compared to a simple pendulum, potential for more components to fail or introduce errors, and a higher likelihood of inaccuracies due to multiple moving parts. Additionally, identifying and minimizing sources of error can be more challenging in a compound pendulum system.
What type of simple machine is a pendulum contraption?
A pendulum contraption is typically classified as a compound machine, as it combines multiple simple machines like a lever, a wheel and axle, and potentially a pulley system to function.
The back and forth motion of a pendulum is called?
Simple harmonic motion
