Find the location of the Centroid for the concrete member shown below, relative to the y axis shown. Given: a = 3.75 m b= 3.25 m c=4m d = 1.0 m b C b/2 b b/2 Enter the Centroidal y-coordinate, y: Please provide the answer in metres rounded to the nearest 3 significant figures. Please include the unit ("m") within your answer (e.g. if the calculated answer was 55.562 metres please input: 55.6 m). Answer: 5.32

Resolve F2 into components along the u and v axes, and determine the magnitudes of these components. Solve graphically using parallelogram law and triangle rule. (Scale!) Answer: Fu = 150 lb, F, = 260 lb. F2= 150 lb %3D 30 30° и 45°

Determine the coordinate of the centroid of the shaded area as shown: Hint: x and y coordinates are equal. Use three (3) decimal places. Box the final answer. a = 4 in.

Answer the following questions completely. Minimize rounding of rounding of numbers to obtain a more precise answer. Solution which is supported by a sketch must be labeled completely showing known and unknown quantities

Compute the coordinates of the centroid (,) of the area shown. Also compute the area moment of intertia about the # and y axes shown in the figure and the z' and y' axes with origin at the centroid. y a b c y = a√bx Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 4.5 in 1.2 in¹ (Note the -1 exponent only applies to the unit, not the number.) 9 in coordinate of the centroid is The The y coordinate of the centroid is The moment of inertia about the z axis is Iz in4. in4. The moment of inertia about the y axis is Iy The moment of inertia about the z' axis going through the centroid is IT' The moment of inertia about the y' axis going through the centroid is ly in. Xx in. Cc+❀O BY NC SA 2016 Eric Davishahl in4. in4.

What is the area of the below figure if you know d=30? (use trapezoidal rule) Answer 32 26 28 24

For the section shown, if a = 3 cm, b = 6 cm and h = 24 cm, then the moment of inertia about the horizontal axis through the centroid of the hole is ...... a ** b a Ta hole D h I = 216.54 x 10^6 mm^4 O | = 124.2 x 10^6 mm^4 O | = 304.36 x 10^6 mm^4 O I = 240.84 x 10^6 mm^4 I = 137.16 x 10^6 mm^4

Express F as a vector in terms of the unit vectors i, j, and k. Determine the angle between Fand the positive y-axis. Assume r, = 35 mm, ry = 60 mm, r, = 175 mm, F = 50 N. %3D Dimensions in millimeters No need to attach your solution.use the box to input your answer. Answer 9 * (1) в I х, >

22:03 X Two forces are applied to a hook. Variable F₁ F₂ a b B с d wamap.org Value 50 lb 30 lb 2,5 ft 3.5 ft 5.5 ft 2.5 ft 13/12 resultant force FR i. α ii. B iii. Y a b Values for the figure are given in the following table. Note the figure may not be to scale. F₂ F₁ A y a. Write each force (F₁,F₂) as cartesian vectors. b. Find the resultant force FR, express as a cartesian vector c. Find the magnitude of the resultant force FR d. Determine the coordinate direction angles of the

Determine the x-component (m) of the centroid of the given figure if the cut portion is a semicircle of radius 8m and other dimensions are: a=34m, b=18m and and c=2. Round off only on the final answer expressed in 3 decimal places.