The variables that affect the period of an oscillating mass-spring system are the mass of the object attached to the spring, the stiffness of the spring (its spring constant), and the damping in the system. The period is also influenced by the amplitude of the oscillations and the acceleration due to gravity.
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The diameter of a spring coil does not directly affect the force constant of the spring. The force constant is primarily determined by the material of the spring and the number of coils. However, a larger diameter may result in a softer spring with more flexibility.
For a pendulum, factors such as the length of the string, the mass of the bob, and the angle of release can affect the simple harmonic motion. In a mass-spring system, the factors include the stiffness of the spring, the mass of the object attached to the spring, and the amplitude of the oscillations. In both systems, damping (air resistance or friction) can also affect the motion.
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The factors that affect the period of an oscillating mass-spring system include the mass of the object, the stiffness of the spring (spring constant), and the damping in the system. A heavier mass will result in a longer period, a stiffer spring will result in a shorter period, and increased damping will lead to a shorter period as well.
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Forces affect springs by causing them to stretch or compress. When a force is applied to a spring, it deforms the spring according to Hooke's Law, which states that the extension or compression of a spring is directly proportional to the force applied. This relationship allows us to calculate the force or displacement of a spring given the other value.
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