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- You are asked to find the centroid of a steel plate with the dimensions shown. In other words, x and y for shaded area using the given x-y axis as your point of reference. 2m y 2.5m u 89'0 = 2 '40=x: part: A 3 r = 2m 4m או Xi Vi Axi AyiQ1. (20’) Consider the shaded square region on the s-plane, as shown in Fig. Q1. Let p = -Ço, + j@, J1-5², S'- plane 4j find (a). the p location with largest @, . (b). the p location with smallest @, . (c). the p location with largest 5 (d). the p location with smallest 5. -3 Fig. Q1Q1) The region bounded by the parabola x = y? and y = x? revolved about the y-axis to generate a solid. Find the volume of the solid.
- 3) A hemisphere of diameter 60 mm is placed on the top of a cylinder, whose diameter is also 60 mm. The height of the cylinder is 75 mm. Find the common CG of the composite body. Hence CG of the given solid is at (0 mm, 47.6 mm, 0 mm)ROBLEM Find the center of gravity for the plane object shown on the fig. Consider that a is a positive constant. O 2a За 8a За 203 degree indeterminate Replace both 10KN with 101 KN
- A hexagonal plane of side 30mm has a corner on the ground. Its surface is inclined at 45 degree to the HP and perpendicular to the VP . Draw its projections when the diagonal through the corner in the HP is parallel to the VP.EXERCISE 1.5 The intersecting edges of a nonorthogonal parallelepiped are defined by the position vectors FB/A = -20ī+30 j+5k, Fc/A = 8ī+25j + 10k, FD/A = 4ī - 2j-15k mm. Determine the volume of this object.Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.
- The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the catenary is the shape of a cable suspended between two points). Locate the y-coordinate 0f the centroid of the catenary by numerical integration using x=25ft.The center of gravity of the plane wire figure is located at G. Determine the lengths a and b.C0nsider the figure bel0w where each square is 1 ft on a side and A =58lb, B =58lb, and C =182lb. Calculate the resultant m0ment of the f0rces (in lb-ft) about point O. (Answer: -690.19lb-ft)