Torsional (= angular) oscillations are oscillations that a body suspended on an elastic wire makes under...

Transcribed Image Text:

Torsional (= angular) oscillations are oscillations that a body suspended on an elastic wire makes under the influence of the moment of elastic forces that arise in the wire when it is twisted (see Figure 1). 4 Figure 1. At small angles of twist (small angular amplitudes), torsional oscillations are harmonic. According to the equation of harmonic oscillations, the period of oscillation is equal to: T = 2 where I is the moment of inertia of the pendulum, k is the proportionality coefficient (torsion modulus), I is the period of oscillation of the pendulum. Iw 2 According to the conservation law, the kinetic energy of the rotational motion of the pendulum is converted into potential energy (spent on doing work) = (1) kommax 2 (2) where w is the angular velocity of the pendulum after impact, max is the maximum angle of twist of the pendulum after hitting the body of the projectile. Using the computed moment of inertia I, find the torsion modulus k. Measure w and Omax and check experimentally the conservation of the energy (2). Torsional (= angular) oscillations are oscillations that a body suspended on an elastic wire makes under the influence of the moment of elastic forces that arise in the wire when it is twisted (see Figure 1). 4 Figure 1. At small angles of twist (small angular amplitudes), torsional oscillations are harmonic. According to the equation of harmonic oscillations, the period of oscillation is equal to: T = 2 where I is the moment of inertia of the pendulum, k is the proportionality coefficient (torsion modulus), I is the period of oscillation of the pendulum. Iw 2 According to the conservation law, the kinetic energy of the rotational motion of the pendulum is converted into potential energy (spent on doing work) = (1) kommax 2 (2) where w is the angular velocity of the pendulum after impact, max is the maximum angle of twist of the pendulum after hitting the body of the projectile. Using the computed moment of inertia I, find the torsion modulus k. Measure w and Omax and check experimentally the conservation of the energy (2).

Answer rating: 100% (QA)

The images provided show an excerpt from a physics text discussing torsional oscillations which are angular oscillations of a body suspended on an ela... View the full answer