Compute the coordinates of the centroid (a, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. C a *b* a- Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 40 cm 23 cm 49 cm The x coordinate of the centroid is = 51.5 cm. The y coordinate of the centroid is y 61 cm. The moment of inertia about the x' axis going through the centroid is I' = 8883584.945 x cm4. The moment of inertia about the y' axis going through the centroid is I, cm4. %3D

find neutral axis + moment of inertia

calculate the product of inertia of straight edge triangle

dsphere dbar • Given the above system, two spheres attached to the ends of a cylinder, determine the mass moment of inertia about the axis normal to the page as a function of the variables provided. Note, you can treat the masses of each element of the system as known o (msphere and mbar). After deriving an expression for the mass moment of inertia about the axis normal to the page as a function of the variables, calculate the mass moment of inertia given: osphere properties ▪ mass of sphere = 5 kg 1 diameter of sphere = 0.5 m bar properties ▪ • Determine the resultant force and moment acting on the system if the system is moving as follows: mass of bar = 25 kg length of bar = 7.5 m diameter of bar = 0.25 m O a = 5î+ 2ĵ m/s² O αG = 7k rad/s² ασ

Problem 10.35 Take that a = 40 mm. (Figure 1) Figure Part A Determine y, which locates the centroidal axis x' for the cross-sectional area of the T-beam. Express your answer to three significant figures and include the appropriate units. μA Value 5a Units ?