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Use the numerical integration scheme discussed in class to compute the area moment of inertia of the circular section with a hole as shown below. For mapping, use 4-node elements of equal size over the section in the first quadrant. For numerical integration use the 2x2 point rule.
Note: No hand calculation! Inner radius = 3.0 cm
Outer radius = 8.0 cm
(a) Determine I using one element in the radial direction and 10 elements in the circumferential direction for the first quadrant. Compare with the exact I. (b) Determine I using one element in the radial direction and 20 elements in the circumferential direction for the first quadrant. Compare with the exact I.
A lever of the second class Use a uniform wooden bar about 1 m long, 4 cm wide and 5 mm thick. Drill a hole near single end, in the centre of the width dimension. Also drill a
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the theory for this motion
A thin rod of length 1 m is fixed in a vertical position inside a train, which is moving horizontally with constant acceleration 4 m/s2. A bead can slide on the rod, and friction
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