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Compound Pendulum & Questions, Wave & Optics Video Lecture | Crash Course for IIT JAM Physics
FAQs on Compound Pendulum & Questions, Wave & Optics Video Lecture - Crash Course for IIT JAM Physics
| 1. What is a compound pendulum and how does it differ from a simple pendulum? |  |
Ans. A compound pendulum is a physical system consisting of a rigid body that swings back and forth about a fixed point, known as the pivot, under the influence of gravity. It differs from a simple pendulum in that its mass is not concentrated at a single point. Instead, it has a distributed mass along its length, causing it to have a larger moment of inertia and different oscillation characteristics compared to a simple pendulum.
| 2. How is the period of a compound pendulum calculated? | |
Ans. The period of a compound pendulum can be calculated using the formula:
T = 2π√(I/mgd)
where T is the period, I is the moment of inertia of the compound pendulum, m is the mass of the pendulum, g is the acceleration due to gravity, and d is the distance between the pivot and the center of mass of the pendulum.
| 3. What factors affect the period of a compound pendulum? | |
Ans. The period of a compound pendulum is affected by several factors, including the length of the pendulum, the distribution of mass along its length, and the acceleration due to gravity. Increasing the length of the pendulum or its moment of inertia will increase the period, while increasing the acceleration due to gravity will decrease the period.
| 4. How does a compound pendulum behave in different gravitational fields? | |
Ans. A compound pendulum behaves differently in different gravitational fields. In a stronger gravitational field, such as on Earth's surface, the pendulum will have a shorter period due to the increased acceleration due to gravity. Conversely, in a weaker gravitational field, the pendulum will have a longer period. This is because the period of a pendulum is inversely proportional to the square root of the acceleration due to gravity.
| 5. What are the applications of compound pendulums in real life? | |
Ans. Compound pendulums have various applications in everyday life and scientific research. Some common examples include the use of compound pendulums in clocks and timekeeping devices to ensure accurate timekeeping. They are also used in seismometers to detect and measure earthquakes, as well as in engineering to study the behavior of structures under dynamic loads. Additionally, compound pendulums are used in sports equipment, such as golf clubs and tennis rackets, to optimize their performance.
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Feb 16, 2025
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