umn ME 3332 HW 3 soln (Hogan) Spring 2011

umn ME 3332 HW 3 soln (Hogan) Spring 2011 - ME 3332 Spring...

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ME 3332 Spring 2011 HW #3 A &B Assigned- Monday, January 31 th , 2011 Due- Monday, February 7th, 2011 @ 5:30pm (STSS 220) Source Material: Class Notes and 2.8 and 2.11of “Fundamentals of Fluid Mechanics” by Munson, Young, & Okiishi (5th or 6th edition). Please Show All Work and Follow the Format given on the course website for Type B Problems Type A. Section 2.8 of “Fundamentals of Fluid Mechanics” by Munson, Young, & Okiishi (5th or 6th edition). 1. Compute the location of the centroid, x c and y c for a trapezoid with dimensions given below: 11 22 33 2 4 7 2, 3 3 3 97 ,; 2 23 7 7 , ; 3 3 3 4 9 23 7 35 7 3 2 3 4.5 7 35 7 7 7 7 7 35 7 19 3 2 3 3.1667 7 35 7 6 i i cc ci c i c i x cm y cm x cm y cm x cm y cm xA x cm A yA y cm cm A           1 2 3 x y
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2. Compute the magnitude of the resultant force, F R on a trapezoid with the dimensions specified above submerged in a liquid with a density of 1000 kg/m 3 at an incline of 35 o , as shown below. 42 32 2 19 (7 )sin35 2.1987 6 1000 9.80 0.021987 49 10 1.05582 ( ) c Rc h cm cm F gh A kg m mm ms kg m N s 3. Consider the exact same situation described in problem A-2, however, replace the trapezoid with a circle with a radius of 3.5 cm. Determine the
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umn ME 3332 HW 3 soln (Hogan) Spring 2011 - ME 3332 Spring...

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