Question

find the centre of mass with refernce to the irgin at A. please answer all parts

m,I a rI, 2a Figure 2: A rotating shaft with the welded rods. 5. A weightless (light) shaft AB of length 6a that has light rods CD and EF, each of length 1, welded to it at the points C and E such that the rods AB, CD, and EF are mutually perpendicular. Point masses m are attached to the rod CD at end D and to the rod EF at end F, see Figure 2. The system is supported by bearings at A and B and rotates about AB at 2 radians per second. The effects of gravity are neglected throughout the calculation. a) Find the centre of mass with reference to the origin at A for the whole device. (5 marks) b) Find the total inertia matrix for the system with reference to the origin at A. (5 marks) c) Obtain the forces exerted on the device by the bearings at A and B. (10 marks) (Total: 20 marks)

Answer 1

au osion 0, 2a 2醐 2MM 23 mM

2 2 ] 오 マ 121,2