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  1. en.wikipedia.org › wiki › PendulumPendulum - Wikipedia

    1) where L {\displaystyle L} is the length of the pendulum and g {\displaystyle g} is the local acceleration of gravity . For small swings the period of swing is approximately the same for different size swings: that is, the period is independent of amplitude . This property, called isochronism , is the reason pendulums are so useful for timekeeping. Successive swings of the pendulum, even if ...

  2. Eq. 1) where g is the magnitude of the gravitational field , ℓ is the length of the rod or cord, and θ is the angle from the vertical to the pendulum. "Force" derivation of (Eq. 1) Figure 1. Force diagram of a simple gravity pendulum. Consider Figure 1 on the right, which shows the forces acting on a simple pendulum. Note that the path of the pendulum sweeps out an arc of a circle. The ...

  3. A pendulum is a mass suspended from a pivot point that is free to swing back and forth. Because the motion is oscillatory (a fancy way to say back and forth) and periodic (repeating with a characteristic time), pendulums have been used in clocks since the 17th century. Crude pendulums are cheap and easy to build — all you need is a small ...

  4. Sep 12, 2022 · Figure 15.5.3: A torsional pendulum consists of a rigid body suspended by a string or wire. The rigid body oscillates between ( θ = + Θ) and ( θ = − Θ ). The restoring torque can be modeled as being proportional to the angle: τ = − κθ. The variable kappa ( κ) is known as the torsion constant of the wire or string.

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  6. Flag. Teacher Mackenzie (UK) 8 years ago. If you study the derivation of the motion of the pendulum, at some point the angle is assumed to be small so that the angle (measued in radians) is equal to the sine of the angle. This is true only for small angle and therefore small displacement. A = tan A = sin A for small A.

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    • David SantoPietro
  7. For small displacements, a pendulum is a simple harmonic oscillator. A simple pendulum is defined to have an object that has a small mass, also known as the pendulum bob, which is suspended from a light wire or string, such as shown in Figure 16.13. Exploring the simple pendulum a bit further, we can discover the conditions under which it ...

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