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A particle moves along a spiral described by the equation r=r(inital)+kappa*theta, where r(inital) and kappa are constants, and where theta is in radians. Assume that theta dot =alpha*time, where alpha= 0.15rad/s^2 and t is time expressed in seconds. If r=.25m and theta = 0 for t=0, determine kappa such that, for t=10s, the acceleration is completely in the radial direction. In addition, determine the value of the polar coordinates of the point for t=10s.
A small hoist is mounted on the back of a pickup truck and is used to lift a 500N crate . Determine the force exerted on the hoist by the htdraulic cylinder BC, the reaction at A.
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a spherical communication satellite with a diameter of 2.5m is orbiting around the earth. the outer surface of the
A helical compression spring made from hard drawn wire needs to be designed to fit inside a 50mm cylindrical cavity and there must be enough space inside the coils for a 20mm cylindrical guide rod.
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