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MIE 310 2012 HW 2 - Dynamics MIE 230 Spring 2012 Problem...

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Dynamics, MIE 230 Spring, 2012 Problem Set #2 Due: Wednesday, February 8, 2012 1. A rock is thrown horizontally from a tower at A and hits the ground 3.5 sec later at B. The line of sight from A to B makes an angle of 50° with the horizontal. Compute the initial velocity u of the rock Figure 2/1 2. The pilot of an airplane pulls into a steep 45° climb at 300 km/h and releases a package at position A. Calculate the horizontal distance s and the time t from the point of release to the point at which the package strikes the ground. Figure 2/2 3. The wheel and attached pulley rotate about the fixed shaft at O and are driven by the belt as shown. At a certain instant the velocity and acceleration of point A on the belt are 2 ft/sec and 6 ft/sec 2 respectively, both in the direction shown. Calculate the magnitude of the total acceleration of point B on the wheel for this instant. Observe that the linear motion of point A on the belt and the tangential motion of a point on the 4 in. radius circle are identical and that θ and θ
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