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  1. The period of a simple pendulum is T = 2\(\pi \sqrt{\frac{L}{g}}\), where L is the length of the string and g is the acceleration due to gravity. The period of a physical pendulum T = 2\(\pi \sqrt{\frac{I}{mgL}}\) can be found if the moment of inertia is known.

  2. We can use the formulas presented in this module to determine both the frequency based on known oscillations and the oscillation based on a known frequency. Let’s try one example of each. A medical imaging device produces ultrasound by oscillating with a period of 0.400 µs.

  3. The block begins to oscillate in SHM between x = + A x = + A and x = − A, x = − A, where A is the amplitude of the motion and T is the period of the oscillation. The period is the time for one oscillation.

  4. Define the terms period and frequency; List the characteristics of simple harmonic motion; Explain the concept of phase shift; Write the equations of motion for the system of a mass and spring undergoing simple harmonic motion; Describe the motion of a mass oscillating on a vertical spring

  5. In mechanics and physics, simple harmonic motion (sometimes abbreviated as SHM) is a special type of periodic motion an object experiences by means of a restoring force whose magnitude is directly proportional to the distance of the object from an equilibrium position and acts towards the equilibrium position.

  6. Frequency and period are properties of periodic systems (in this case, an sho). Amplitude and phase are coefficients that are found in equations of periodic motion that are determined by the initial conditions (in this case, the initial position and initial velocity of an sho).

  7. The simplest oscillations occur when the restoring force is directly proportional to displacement. Recall that Hooke’s law describes this situation with the equation F = −kx. Therefore, Hooke’s law describes and applies to the simplest case of oscillation, known as simple harmonic motion.

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