\h SSKJr SSKJr SSKJr SSKJrJrJ r /SQr "SS\\"SSS /55r "S S \ 5r "S S \ 5r SrSrg))ABC) namedtuple)BodyBase)VectorReferenceFramePoint)LoadBaseForceTorquec,\rSrSrSrSrSr\r\rSr g)r z2Abstract base class for the various loading types.cv[SURRSURRS35e)Nz$unsupported operand type(s) for +: '' and '' TypeError __class____name__selfothers U/var/www/auris/envauris/lib/python3.13/site-packages/sympy/physics/mechanics/loads.py__add__LoadBase.__add__ @ NN3345!OO445Q89 9cv[SURRSURRS35e)Nz$unsupported operand type(s) for *: 'rrrrs r__mul__LoadBase.__mul__rrN) r __module__ __qualname____firstlineno____doc__rr__radd____rmul____static_attributes__r rrr r s<9 9 HHrr locationvectorcR^\rSrSrSrU4SjrSr\S5r\S5r Sr U=r $)r aForce acting upon a point. Explanation =========== A force is a vector that is bound to a line of action. This class stores both a point, which lies on the line of action, and the vector. A tuple can also be used, with the location as the first entry and the vector as second entry. Examples ======== A force of magnitude 2 along N.x acting on a point Po can be created as follows: >>> from sympy.physics.mechanics import Point, ReferenceFrame, Force >>> N = ReferenceFrame('N') >>> Po = Point('Po') >>> Force(Po, 2 * N.x) (Po, 2*N.x) If a body is supplied, then the center of mass of that body is used. >>> from sympy.physics.mechanics import Particle >>> P = Particle('P', point=Po) >>> Force(P, 2 * N.x) (Po, 2*N.x) c>[U[5(a URn[U[5(d [ S5e[U[ 5(d [ S5e[ TU]XU5$)Nz!Force location should be a Point.z Force vector should be a Vector.) isinstancer masscenterrrrsuper__new__)clspointforcers rr0 Force.__new__:s^ eX & &$$E%''?@ @%((>? ?ws511rchURRSURSURS3$)Nz(point=z, force=))rrr2r3rs r__repr__Force.__repr__Cs6>>**+74::,? A' (rcUR$Nr(r7s rr2 Force.pointG }}rcUR$r;r)r7s rr3 Force.forceK {{rr ) rr!r"r#r$r0r8propertyr2r3r' __classcell__rs@rr r s:>2(rr cR^\rSrSrSrU4SjrSr\S5r\S5r Sr U=r $)r PaTorque acting upon a frame. Explanation =========== A torque is a free vector that is acting on a reference frame, which is associated with a rigid body. This class stores both the frame and the vector. A tuple can also be used, with the location as the first item and the vector as second item. Examples ======== A torque of magnitude 2 about N.x acting on a frame N can be created as follows: >>> from sympy.physics.mechanics import ReferenceFrame, Torque >>> N = ReferenceFrame('N') >>> Torque(N, 2 * N.x) (N, 2*N.x) If a body is supplied, then the frame fixed to that body is used. >>> from sympy.physics.mechanics import RigidBody >>> rb = RigidBody('rb', frame=N) >>> Torque(rb, 2 * N.x) (N, 2*N.x) c>[U[5(a URn[U[5(d [ S5e[U[ 5(d [ S5e[ TU]XU5$)Nz+Torque location should be a ReferenceFrame.z!Torque vector should be a Vector.)r-rframerrrr/r0)r1rItorquers rr0Torque.__new__os\ eX & &KKE%00IJ J&&))?@ @ws622rchURRSURSURS3$)Nz(frame=z , torque=r6)rrrIrJr7s rr8Torque.__repr__xs6>>**+74::,?++a) *rcUR$r;r<r7s rrI Torque.frame|r>rcUR$r;r@r7s rrJ Torque.torquerBrr ) rr!r"r#r$r0r8rCrIrJr'rDrEs@rr r Ps:<3*rr c/nUHan[U[5(d[[U5S35eUR [ UR URU-55 Mc U$)a Returns a list of gravity forces given the acceleration due to gravity and any number of particles or rigidbodies. Example ======= >>> from sympy.physics.mechanics import ReferenceFrame, Particle, RigidBody >>> from sympy.physics.mechanics.loads import gravity >>> from sympy import symbols >>> N = ReferenceFrame('N') >>> g = symbols('g') >>> P = Particle('P') >>> B = RigidBody('B') >>> gravity(g*N.y, P, B) [(P_masscenter, P_mass*g*N.y), (B_masscenter, B_mass*g*N.y)] z is not a body type)r-rrtypeappendr r.mass) accelerationbodies gravity_forcebodys rgravityrZsa*M$))tDzl*=>? ?U4??DII 4LMN rc[U[5(aU$[U[5(a[U5S:wa[ SUS35e[US[ 5(a[ USUS5$[US[5(a[USUS5$[ SUSS35e[S[U5S 35e) zBHelper function to parse loads and convert tuples to load objects.zLoad z should have a length of 2.rz'Load not recognized. The load location z. should either be a Point or a ReferenceFrame.z Load type zA not recognized as a load. It should be a Force, Torque or tuple.) r-r tuplelen ValueErrorrr rr rrS)loads r _parse_loadrbs$!! D% t9>uTF*EFG G d1gu % %a$q'* * Q 0 0$q'47+ +FtAwiMOP P jd -:; <rhsW"6>> )sJzJ+AB"3H3l2X2j: