Q. The figure shows an isosceles triangular plate of mass M and base L. The angle at the apex is 90 ° . The apex lies at the origin and the base is parallel to x-axis. 1. What is the moment of inertia of the plate about the z-axis? 1 . M L 2 12 2 . M L 2 24 3 . M L 2 6 4 . n o n e o f t h e s e 2. What is the moment of inertia of the plate about the x-axis? 1 . M L 2 8 2 . M L 2 24 3 . M L 2 6 4 . M L 2 32 Share with your friends Share 21 Pintu B. answered this Dear Student , 2. Let axis of rotation pass through hypotenuse. considering rotation about hypotenuse you will see that it will make a square joining two triangles and hypotenuse will be the diagonal of the square. we know moment of inertia of the diagonal near to the axis of the square=ML26if mass of square is M now mass of the triangle will be half of the mass of the square . So moment of inertia about hypotenuse =ML212 Now applying perpendicular axis theorem moment of inertia about base as well as perpendicular is ML224 .Kindly ask different question in different posts. Regards -56 View Full Answer