Vectors and Rotors: With Applications

A₁ ABCD Algebra angle axes axis B₁ bars base bending bending moment bisect C₁ called centre circle circular sector collinear Commutative Law components compression coordinates coplanar couple definite denote determined diagonals direction and sense divide draw drawn equal equation equilibrium figure find the mass-centre forces acting frame geometrical girder give given points given rotors Hence the mass-centre horizontal length line joining line parallel link-polygon load M₁ magnitude mass mass-centre must lie mid-point momental area move multiplying negative number of vectors OB₁ opposite origin orts parallelogram parallelopiped perpendicular plane pole polygon position vector projection quadrilateral reaction rectangle represent resultant rigid body scalar product shew shewn sides straight line stress diagram string suppose symmetry system of rotors tension tetrahedron theorem triangle vanishes vector product vector-polygon vertex vertices weight