lab11_f11 - with salt water with density = 1010 kg/m 3 ....

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Math 116 - Lab 11 - Fall 2011. Center of Mass, Hydrostatic Force (Sections 7.5 and 7.6 of L/G). You are to provide full solutions to the following problems. You are allowed to collaborate with your classmates, use your notes and textbook and ask the TA for guidance. Direct copying of solutions is not encouraged, nor is it allowed or ethical. Last name: First name: Student number: 1
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Math 116 - Lab 11 - Fall 2011. Student number: 1. For the following lamina, compute i) the mass of the lamina, ii) the first moment of the lamina with respect to the y -axis, iii) the first moment of the lamina with respect to the x -axis, iv) the center of mass of the lamina. a) Bounded by x = 0, y = x , x = 1 with ρ = 5 kg/m 2 b) Bounded by x = 0, y = x , y = 1 with ρ = 5 kg/m 2 c) Bounded by x = 1, x = 3, y = 5 x - 5, y = x 2 + x - 5 with ρ = 3 kg/m 2 d) Bounded by x = 0, y = x , y = x 2 + x - 4 with ρ = 7 kg/m 2 2. A fish tank has a side that is 2m long and 1m high. If the tank is filled with water, how much force is against the side? 3. An aquarium has a window that is 9m long and 4m high. It looks into a pool filled
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Unformatted text preview: with salt water with density = 1010 kg/m 3 . The pool is lled such that the window is popping out of the water 1m. How much force is against the window? 4. A vertical dam has a trapezoidal face that is 10m tall, 40m wide at the top, and 30m wide at the bottom. The water behind the dam is 8m deep. How much hydrostatic force is sustained by the dam? 5. A container is lled with oil with density = 250 kg/m 3 . It has a vertical trapezoid side that is 0.5m high, 1m wide at the bottom, and 0.4m wide at the top. If the container is completely lled, how much force is against the side? 6. A horizontal cylindrical container has a radius of 1m. It is lled with water to a depth of 1.5m. How much hydrostatic force must be sustained by each of the circular ends? (State the result as an integral. Do not solve the integral.) 2...
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This note was uploaded on 12/28/2011 for the course MATH 116 taught by Professor Robertandre during the Spring '11 term at Waterloo.

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lab11_f11 - with salt water with density = 1010 kg/m 3 ....

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