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What is tmin, the minimum period of the pendulum?
The minimum period of a pendulum, denoted as tmin, is the shortest amount of time it takes for the pendulum to complete one full swing back and forth.
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.
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.
What are center of suspension and center of oscillation of a compound pendulum?
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.
What is tmin, the minimum period of the pendulum?
The minimum period of a pendulum, denoted as tmin, is the shortest amount of time it takes for the pendulum to complete one full swing back and forth.
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.
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.
What are center of suspension and center of oscillation of a compound pendulum?
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.
How does the period of a pendulum change for length?
The period of a pendulum is directly proportional to the square root of its length. As the length of a pendulum increases, its period increases. Conversely, if the length of a pendulum decreases, its period decreases.
What happens to the energy of a compound pendulum when it is oscillating?
The energy of a compound pendulum is constantly changing between potential energy and kinetic energy as it oscillates. At the highest points of the swing, it has maximum potential energy but minimum kinetic energy, and at the lowest point of the swing, it has maximum kinetic energy but minimum potential energy. The total energy of the pendulum remains constant unless there are external factors such as air resistance or friction.
What could be the precaution in the experiment of compound pendulum?
Some precautions to consider in a compound pendulum experiment are ensuring the pendulum is securely attached to its support to prevent accidents, minimizing air resistance to avoid inaccurate readings, and using a reliable timing method to measure the period of oscillation accurately.
What happen to period of pendulum when mass increase?
The period of a pendulum is not affected by the mass of the pendulum bob. The period depends only on the length of the pendulum and the acceleration due to gravity.
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.
How does length effect the period of a pendulum?
A longer pendulum has a longer period.
How does height affect the period of a pendulum?
Height does not affect the period of a pendulum.
