Summary of Péndulo de torsión

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The video discusses the concept and applications of a torsion pendulum, which consists of a wire or string holding a rigid body and exhibits simple harmonic motion. The torsion constant is introduced and used to calculate the frequency and period of the pendulum's motion. The torsion pendulum is used in various devices, including mechanical wristwatches, laboratory galvanometers, and the Cavendish balance of torsion. The video provides an example problem and concludes by encouraging viewers to explore related videos on oscillatory motion.

• 00:00:00 In this section, we learn about torsion pendulums, which consist of a vertically suspended wire or string with a rigid body attached to its lower end. When the body is rotated by a small angle, the twisted wire exerts a restoring torque that is proportional to the angular displacement. This torque can be calculated using the torsion constant, which is obtained by applying a known torque to the wire and measuring the resulting angular displacement. The torsional motion of the pendulum can be described using simple harmonic motion equations, and we can determine its frequency and period using the torsion constant and the moment of inertia of the body. Therefore, we can say that the torsion pendulum is an example of an oscillator that exhibits simple harmonic motion.
• 00:05:00 In this section, the concept and applications of a torsion pendulum are discussed. The torsion pendulum equation, number 5, is introduced as equaling 2 pi times the square root of the moment of inertia over the torsion constant kappa. The frequency equation, number 6, is also presented as being equal to 2 times the square root of kappa over the moment of inertia. The restriction of small angles is not required in all situations, as long as the wire response is linear. The torsion pendulum is used in mechanical wristwatch mechanisms, laboratory galvanometers, and the Cavendish balance of torsion, which was used to calculate the universal gravitational constant. An example problem is solved in this section, in which the torsion constant of a wire is determined given the mass and length of a uniform bar attached to it.
• 00:10:00 In this section, the video explains the calculation of the torsion constant for a pendulum. The formula for the torsion constant is given, and known values are substituted in to find the value of the constant, which is given as 4.062 x 10^-4 Nm^-1. The video concludes by inviting viewers to continue studying videos related to the topic of oscillatory motion.