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According to the mathematics and physics of the simple pendulum hung on a

massless string, neither the mass of the bob nor the angular displacement at

the limits of its swing has any influence on the pendulum's period.

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12y ago
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1w ago

The period of a pendulum is independent of the angular displacement (within small angles) and the mass of the ball. It is only dependent on the length of the pendulum and the acceleration due to gravity. This is known as the principle of isochronism of the pendulum, first discovered by Galileo.

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Q: How does the period of a pendulum difference theoretically with angular displacement and mass of ball for simple pendulum?
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How does the period of a pendulum vary theoretically with angular displacement?

In the standard derivation of pendulum characteristics, at least through high schooland undergraduate Physics, an approximation is always made that assumes a smallangular displacement.With that assumption, the angular displacement doesn't appear in the formula forthe period, i.e. the period depends on the pendulum's effective length, and isindependent of the angular displacement.


What was the maximum angular displacement of the pendulum around its equilibrium position?

The maximum angular displacement of a pendulum is typically 90 degrees away from its equilibrium position. This is the point where the pendulum has the greatest potential energy before swinging back.


What 3 variables that might affect the number of cycles the pendulum makes in 15 seconds?

The length of the pendulum, the angular displacement of the pendulum and the force of gravity. The displacement can have a significant effect if it is not through a small angle.


How do you measure amplitude in a simple pendulum?

Amplitude in a simple pendulum is measured as the maximum angular displacement from the vertical position. It can be measured using a protractor or by observing the maximum angle the pendulum makes with the vertical when in motion.


What are the factor affecting on the simple pendulum?

The factors affecting a simple pendulum include the length of the string, the mass of the bob, the angle of displacement from the vertical, and the acceleration due to gravity. These factors influence the period of oscillation and the frequency of the pendulum's motion.


How does the period of a pendulum vary theoretically with a angular displacement b mass of bob and c length?

(a) directly with its square root.(b) not at all if it can be considered as a point mass which is significantly greater than the "string". Otherwise corrections are necessary. (c) not if the angle is small. Otherwise corrections are necessary.


How does a pendulums period vary with the length of its mass With Gravitational acceleration?

The length of the pendulum is measured from the pendulum's point of suspension to the center of mass of its bob. Its amplitude is the string's angular displacement from its vertical or its equilibrium position.


What are the physical parameters in the investigation of a simple pendulum?

The physical parameters in the investigation of a simple pendulum include its length, mass of the bob, angle of displacement, gravitational acceleration, and the period of oscillation. By experimenting with these parameters, one can analyze the motion and behavior of the pendulum.


Why finite angular displacement is not a vector?

No no its a true vector for infinite angular displacement


Is angular displacement is a vector?

Yes, angular displacement is a vector quantity because it has both magnitude and direction. The direction of angular displacement is determined by the axis of rotation.


Why finite angular displacement is not a true vector?

No no its a true vector for infinite angular displacement


What are the units for angular displacement?

Angular displacement is measured in radians (rad) or degrees (°).