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10 Nov 2019
Differential equations
A 12-lb weight stretches a spring 2 ft. The weight is released from a point 1 ft below the equilibrium position with an upward velocity of 4 ft/s. Find the equation describing the resulting simple harmonic motion. What are the amplitude, period, and frequency of motion? At what times does the weight return to the point 1 ft below the equilibrium position? At what times does the weight pass through the equilibrium position moving upward? moving downward? What is the velocity of the weight at t = 3pi/16 second? At what times is the velocity zero?
Differential equations
A 12-lb weight stretches a spring 2 ft. The weight is released from a point 1 ft below the equilibrium position with an upward velocity of 4 ft/s. Find the equation describing the resulting simple harmonic motion. What are the amplitude, period, and frequency of motion? At what times does the weight return to the point 1 ft below the equilibrium position? At what times does the weight pass through the equilibrium position moving upward? moving downward? What is the velocity of the weight at t = 3pi/16 second? At what times is the velocity zero?