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### Lab-2

Course: EML 3013, Fall 2009
School: Fayetteville State...
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3013 EML Dynamic Systems I Lab-2 Spring 2007 (Turn in parts 2-A &amp; 2-B next Friday; turn in part 2-C with your lab report-experiment 2) Lab-2A. (also 13-96 from the textbook) The forked rod is used to move the smooth 2-lb particle around the horizontal path in the shape of a limaon, r = (2 + cos ) ft. If = (0.5t2) rad, where t is in seconds, determine the force which the rod exerts on the particle at the...

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3013 EML Dynamic Systems I Lab-2 Spring 2007 (Turn in parts 2-A & 2-B next Friday; turn in part 2-C with your lab report-experiment 2) Lab-2A. (also 13-96 from the textbook) The forked rod is used to move the smooth 2-lb particle around the horizontal path in the shape of a limaon, r = (2 + cos ) ft. If = (0.5t2) rad, where t is in seconds, determine the force which the rod exerts on the particle at the instant t = 1 s. The fork and path contact the particle on only one side. Lab-2B. It can be shown that the angle, , between the extended radial line from a cylindrical coordinate to the tangent of the curve can be given by r tan = , where r is the radial distance from the origin and is the angular positon dr / d of the cylindrical coordinate. Plot the shape of the limaon in part 2-A, is that r = 2 + cos in the range 0 2 (rad ). Determine numerically the angle using an angular increment of 0.05 radian. Compare your numerical values with the theoretical values obtained by the given formula. Lab 2-C. Cart A is being dragged along a frictionless surface as shown. Assume the force is a constant 100 N, (1) determine the acceleration aA as a function of the displacement x. (2) Also, determine the velocity V of the cart when it reaches just underneath the pulley. (3) How can we approach the same problem if the constant F is replaced by a free hanging weight with a mass of 10 kg (it produces an equivalent 98 N of force). Derive the relationship and discuss. We will tackle this together in the class. F=98 N Cases (1) & (2) 10 m 10 m Case (3) 10 kg mA=10 kg x
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