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the period T of a rigid-body compound pendulum for small angles is given byT=2π√I/mgR
where I is the moment of inertia of the pendulum about the pivot point, m is the mass of the pendulum, and R is the distance between the pivot point and the center of mass of the pendulum.
For example, for a pendulum made of a rigid uniform rod of length L pivoted at its end, I = (1/3)mL2. The center of mass is located in the center of the rod, so R = L/2. Substituting these values into the above equation gives T = 2π√2L/3g. This shows that a rigid rod pendulum has the same period as a simple pendulum of 2/3 its length.
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∙ 10y ago
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Is oscillation of compound pendulum or simple pendulum is perfectly simple harmonic motion?
A simple pendulum exhibits simple harmonic motion
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.
Give three applications of simple pendulum in your daily life?
applications of simple pendulum
What is the significance of the simple pendulum?
The simple pendulum can be used to determine the acceleration due to gravity.
What kind of pendulum is playground swing?
A simple pendulum.
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.
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.
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
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 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.
Why it's better compound pendulum than a simplependulum?
A compound pendulum is better than a simple pendulum because it has a physical structure that provides additional stability, which reduces swinging motion errors. It also allows for more complex movements and can be used in a wider range of applications due to its increased versatility. Additionally, a compound pendulum can store more energy, making it useful for tasks that require greater force or precision.
What is the significance of the simple pendulum?
The simple pendulum can be used to determine the acceleration due to gravity.
Give three applications of simple pendulum in your daily life?
applications of simple pendulum
