For the shape shown below, answer the following question: -4 in.- 5 in. 1 in. 2 in. xr 1 in. The y-centroid of the shape (y') measured from the origin (in inches):
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- the following calculation shown abides by the dimensional analysis (10 kg)(5 ft)/10 sec = 5N True or FalseFor the section shown in the figure, determine the following: 1. Area moment of inertia with respect to X-axis, Ix. 2. Area moment of inertia with respect to Y-axis, Iy. 3. Area moment of inertia with respext to X'-axis, Ix' 4. Area moment of inertia with respext to Y'-axis, Iy'.An object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.70 ft, where a is the diameter of the semicircle, b = 3.67 ft, and c = 2.35 ft. A hole with diameter d = 0.500 ft is centered at (1.33,0.580). Part A: Find the area of the body. Part B: Find "x bar", the x-coordinate of the body's centroid. Part C: Find "y bar", the y-coordinate of the body's centroid.
- Compute the deflection of a structural member made of aluminum if a load of 755 N is applied to the bar. The member has a uniform rectangular cross-section with dimensions of 6 mm × 100 mm as shown in the accompanying figure.For the two beams presented in the figures determine centroid and centrioidal inertia in x. Plate 6 in x 1/2 in. pulg=inchesConsidering the two scenarios below. Calculate the man's height if the center of gravity of the man's body is in the same level with the top of the table. Assume that the height of the center of gravity from ground is 57% of the man's standing height. Express your answer in feet and inches. x'y".
- Compute the deflection of a structural member made of aluminum if a load of 755 N is applied to the bar. The member has a uniform rectangular cross section with the dimensions of 6 mm × 100 mm , as shown in the accompanying figure.Determine the moment of inertia about the x-axis of each of the areas shown in Figure P9–1( give detailed solutions in an hour)1. From the given cross section determine the Moment of Inertia with respect to the x axis and y axis, Polar Moment of Inertia, Radius of gyration with respect to the x axis and y axis, and Moment of Inertia with respect to the neutral axis.
- Calculate the second moment of area of a 50 mm diameter shaft about the x–x and y–y axes, as shown.Suppose we have a uniform beam that is 3.73 metres long has a flexural rigidity of 34301Nm. Find the deflection of the beam in millimetres if the beam is under a uniform load of 86N/m and is supported with simple supports at both ends. Fill out the table below with your answers. x�-coordinate Deflection (mm��) x=0.22 y(x)= x=1.38 y(x) = x=2.05 y(x) = x=2.98 y(x) = x=3.58 y(x) = Enter as many decimal places as your calculator allows (8 to 10). Your answer must be within ±0.0005±0.0005 of the correct answer to be considered correct.Given the cross section of an Inverse T-Beam, calculate the following: (all units are in millimeters) a. Centroid of the Beam. b. Moment of Inertia at the x-axis c. Moment of Inertia at the y-axis d. Moment of Inertia with respect to its centroidal x-axis. e. Moment of Inertia with respect to its centroidal y-axis.