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A coil spring is to be designed for use in the suspension of an experimental trailer. Specifications are as follows: static load per spring = 3500 N, rate per spring = 40 N/mm, jounce = 150 mm (i.e., compression beyond static load position is limited to 150 mm by a rubber bumper), rebound = 58 mm (i.e., extension beyond static load position is limited to 58 mm by a rubber bumper). Infinite fatigue life is required, using a safety factor of 1.3 applied to the maximum load only. (A safety factor of 1.0 is applied to the minimum load.) A metallurgist from the spring manufacturer has advised that for the size range and surface finish of the spring, fatigue strength can be represented by a line between tmax = 600, tmin = 0, and tmax = tmin = 900MPa. Determine a suitable combination of d, D, and N.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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