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A vibrating system has weight W = 4000 lb and a spring stiffness coefficient k = 10,000 lb/in. It has been determined experimentally that the logarithmic decrement Δ = 0.314 and the time between successive maximum Td = 0.2025s for the system.
Determine the following for the system in the given units:
a) The natural undamped frequency (rad/s)
b) The critical damping (lb · s/in)
c) The damping coefficient (lb · s/in)
d) The number of cycles and the time (s) required for the amplitude of motion to be reduced from an initial value of 0.1 in to 0.01 in. Hint: use log properties and the ratios of successive peak amplitudes.
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In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle.
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Suppose that weights of 1-year-old boys are normal with mean 26 pounds, standard deviation 3 pounds. Use a normal table or software to determine the following. (Round your answers to four decimal places.)
A plane travels 170 miles on a bearing of N18 degree e and then changes its course to N 49 E and travels 120 mi . find the total distance traveled north and the east.
A ladder leans against wall with the base of the ladder 16 ft from the wall and with the top of the ladder touching the top of the wall. The ladder is pushed towards the wall so that the top 5 ft of the ladder stick up over the wall. How far was the ..
Estimate the marginal cost at production level x = 5500. Find the actual cost C (5501) - C (5500). Find the average cost per camera at x = 5500. (Round your answer to three decimal places.)
A plane has an airspeed of 195 miles per hour and a heading of 20°. The ground speed of the plane is 207 miles per hour, and its true course is in the direction of 36°. Find the speed and direction of the air currents, assuming they are constants.
Calculate the coefficient of multiple determinations
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A jogging path has to be made around a rectangular park which is 113 feet long and 96 feet wide. If the width of the jogging path is 2 feet, find the area of the path.
A car is traveling at 88 km/h when the driver sees an accident 55 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?
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