Derive the Euler equations for rigid body motion. (a) A robot arm in the IKEA factory is required to make two cuts in a

[answerhappygod]

Derive The Euler Equations For Rigid Body Motion A A Robot Arm In The Ikea Factory Is Required To Make Two Cuts In A 1 (176.52 KiB) Viewed 16 times

Derive the Euler equations for rigid body motion. (a) A robot arm in the IKEA factory is required to make two cuts in a sheet of MDF, at right angles. The arm holds a circular saw, the diametral axis of the saw is in line with the longitudinal axis of the robot arm. The arm will be required to turn thru 90° in 0.5 seconds. Assume angular motion with constant acceleration and that the initial angular velocity is zero and that the moment of inertia of robot arm is ignored. (i) Determine the torque required to perform this operation. (ii) What will be the maximum power requirement of the motor turning the arm to perform this operation? (iii) If the bearing centres of the shaft holding the saw shaft are 50mm apart, what will be the force on the bearings. (b) A misalignment of the circular saw and the shaft carrying it was discovered. The angle between the axis of symmetry (polar axis) and the actual axis of rotation is 0.25°, though both these axis pass thru the centre of the saw. (i) What will be reaction force on the bearings due to the misalignment at normal running speed? Mass of saw=500g. Diameter of saw=300mm. Speed of saw=6000 rpm