Stitz-Zeager_College_Algebra_e-book

7 note that when we substitute into r 6 cos we recover

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Unformatted text preview: formula9 w = mg . Here, w is the weight of the object, m is the feet mass and g is the acceleration due to gravity. In the English system, g = 32 second2 , and in the SI meters system, g = 9.8 second2 . Hence, on Earth a mass of 1 slug weighs 32 lbs. and a mass of 1 kg weighs 9.8 N.10 Suppose we attach an object with mass m to a spring as depicted below. The weight of the object will stretch the spring. The system is said to be in ‘equilibrium’ when the weight of the object is perfectly balanced with the restorative force of the spring. How far the spring stretches to reach equilibrium depends on the spring’s ‘spring constant’. Usually denoted by the letter k , the spring constant relates the force F applied to the spring to the amount d the spring stretches in accordance with Hooke’s Law11 F = kd. If the object is released above or below the equilibrium position, or if the object is released with an upward or downward velocity, the object will bounce up and down on the end of the spring unt...
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