Consider the 15 kg solid cylinder shown in Fig.10.19, undergoing a rotational motion under the effect of externally applied force. If the mass moment of inertia of the glinder about its centroidal axis is IAA = 0.5 kg m^2, determine the radius of the cylinder

1. A circular disk has a density p(r) which varies as a function of distance from the center of the disk. The disk has a radius R and a thickness t. Assuming p(r) = Po(1-r/R): Calculate the total mass of the disk. a. b. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point G. C. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point O. G R

Q.2) The composite L-shaped object shown below is composed of two prismatic homogenous bars. Bar 1 is steel with density 7850 kg/m³, and bar 2 is titanium with density 4500 kg/m³. Determine (a) the center of gravity of the L-shaped object, and (b) its mass moment of inertia about the y centroidal axis obtained in part (a). y oul od aix lood 240 mm 1 40 mm 80 mm 80 mm 240 mm msldo

The pendulum consists of two rods AB and OC, which have a mass density of 3kg/m. The thin disk has a mass of 12 kg/m2. Determine the location of the center of mass of the pendulum, calculate the mass moment of inertia about the axis perpendicular to the sheet and passing through point O. Report only the moment of inertia in terms of [kg m2].