Nut 17.0 N 37° 25.0 cm

Compute ¯Ix for the region shown. a 3260 in.^4   b 2630 in.^4   c 6230 in.^4   d 7230 in.^4

Calculate Īx for the shaded region, knowing that y¯ = 68.54 mm. Answer: 12.96 x 10^6 mm^4

Analytically determine the linear displacement of the piston in the compressor linkage shown, as the 40 mm crank is rotated from its current position 60° counterclockwise. 40 mm 30⁰ crank 90 mm piston $1

For the purple region bounded by a parabola with vertex at (-1, 5) and the green line, solve y = -a(x – h)? + k for: a. Area b. Centroid c. Volume when revolved 230° about the green line (-2.1, 2.2) d. MOI and radius of gyration about the x-axis using horizontal strips. e. MOI and radius of gyration about the y-axis using vertical strips. f. MOI and radius of gyration about the z-axis (1, n)

Consider a wheel with four spokes as shown below. The radius of wheel is r = 0.18 m. The mass of the circumferential part is 0.7 kg, and the mass of each spoke is 0.12 kg. If one of the spokes is removed, calculate the distance (in mm) between the old and new center of mass locations. r

29 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the AB part of the homogeneous wire in the x, y and z axes given correctly?A) (36 ; 24 ; 12)B) (18 ; 12 ; 0)C) (36 ; 12 ; 0)D) (36 ; 24 ; 0)E) (36 ; 12 ; 24)

For the following area, determine: a) the coordinates of the geometric center of the area taking the axes shown in the figure as a reference. Consider b = 36 cm.Adopt π = 3.14159. b) the moments of inertia about the axes that pass through the geometric center of the area. (IxCG = IyCG in cm4)

Compute the coordinates of the centroid (,) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. ур C + 2013 Michael Swanbom cc 10 BY NC SA a*b* - a a → x Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 41 cm b 25 cm с 50 cm The x coordinate of the centroid is = cm. The y coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is I' The moment of inertia about the y' axis going through the centroid is I✓ cm4. cm4.