exercise 1.1

The rectangular plate is welded at corner A to the vertical shaft and braced by cable BC. The tension in the cable is 5 kN. (a) Determine the components parallel to the edges of the plate of the force the cable applies to the plate. (b) Determine the moment about corner A of the force applied by the cable. (c) Determine the moment about the axis of the shaft of the force applied by the cable.

exercise 1.2

The study of the kinematics of rigid bodies in Chapter 3 will show that the accelerations of two points in a rigid body are related by a _B = a _A + ? r _B/A + ? ( ? r _B/A). At a certain instant r _A/O = i + j + k m , r _B/O = 4 i + 2 j ? 3 k m, a _A = 4 i ? 5 j + k m/s ², ? = 5 i ? 3 j + 2 k rad/s , ? = ?20 i + 10 j ? 40 k rad/s ². Evaluate a _B by carrying out the calculation manually, then verify the result using mathematical software.

exercise 1.3

The Gibbs Appell function for a rigid body is related to the instantaneous...