Consider a flat metallic isosceles triangular plate of unknown thickness of uniform mass density 119.9968327023 kilogram per square meter, that is rotating at a constant angular acceleration from an initial zero angular displacement, within a plane formed from the cross product of the two equal sides of the isosceles triangle which form an acute included angle of 0.7329557161 radian that is coincident with the centre of mass of the metallic plate, about an axis of rotation perpendicular to this plane that is passing through the vertex formed from the intersection of the two equal sides of the isosceles triangle opposite to the base of the isosceles triangle. The initial kinematic state of the metallic plate has a kinetic energy of 0.6338308326 joule with an angular velocity of 9.7400159808 radian per second such that the metallic plate rotates in such a way that the centre of mass of the metallic plate travels a distance of 0.0864299696 meter within the plane of rotation so that the final kinetic energy is 3.1466310947 joule. Determine the rotational angular acceleration ac/[rad. s²] of the metallic plate about the axis of rotation?

A composite pendulum is made of a uniform slender rod and a uniform disk. If the rod has length of 1.0 m and mass of 11.9 kg, and the disk has radius of 0.31 m and mass of 8.0 kg, determine the mass moment of inertia (in kg · m²) about the x'axis that passes through point O (seen from the profile view). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. G R Profile view Your Answer: Answer

Use direct integration to determine that the area moment of inertia, Ixx, about the center of mass, C, of the given uniform rectangular plate is bh'. Also show that the moment of inertia, Ixy, about the center of mass, C, is 0. 12 Ixx = $$$ (y² +2²) ldv C -X

For the circular thin plate with a square hole as shown in the image below, if the radius R = 0.42 m and the side of the square 1 = 0.18 m, and the material has a mass per unit area of 18 kg/m², determine the mass moment of inertia (in kg · m²) . about an axis perpendicular to the screen and passing through point O. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. R Your Answer: Answer 1