Spring Motion (See Exercise 15.) A spring with spring constant k = 2 and a 1-unit mass m attached to it is stretched and then allowed to come to rest.
(a) If the spring is stretched
ft and released, what are the amplitude, period, and frequency of the resulting oscillatory motion?
(b) What is the equation of the motion?
Spring Motion The formula for the up and down motion of a weight on a spring is given by
If the spring constant k is 4, what mass m must be used to produce a period of 1 sec?
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Trigonometry
- APPLICATIONS Mass-Spring System A mass suspended from a spring is pulled down a distance of 2 ft from its rest position, as shown in the figure. The mass is released at time t=0 and allowed to oscillate. If the mass returns to this position after 1 s, find an equation that describes the motion.arrow_forwardVan der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law, which shows the relationship among volume V, pressure p, and temperature T for a fixed amount 1 mole of a gas. But chemists believe that in many situations, the van der Waals equation gives more accurate results. If we measure temperature T in kelvins, volume V in liters, and pressure p in atmosphere 1 atm is the pressure exerted by the atmosphere at sea level, then the relationship for carbon dioxide is given by p=0.082TV0.0433.592V2atm What volume does this equation predict for 1 mole of carbon dioxide at 500 kelvins and 100 atm?Suggestion: Consider volumes ranging from 0.1 to 1 liter.arrow_forward
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