+ i ^RIHt^RIHt^RIHt^RIHtHtH t .ROt !RR]]!RR R .44t !R R] 4t !R R] 4t R tRtR#))ABC) namedtuple)BodyBase)VectorReferenceFramePointLoadBaseForceTorquec8a]tRt^ toRtRtRt]t]tRt Vt R#)r z2Abstract base class for the various loading types.cv\RVPP RVPP R24h)z$unsupported operand type(s) for +: '' and '' TypeError __class____name__selfothers&&}/Users/tonyclaw/.openclaw/workspace/skills/math-calculator/venv/lib/python3.14/site-packages/sympy/physics/mechanics/loads.py__add__LoadBase.__add__ @ NN3345!OO445Q89 9cv\RVPP RVPP R24h)z$unsupported operand type(s) for *: 'rrrrs&&r__mul__LoadBase.__mul__rrN) r __module__ __qualname____firstlineno____doc__rr__radd____rmul____static_attributes____classdictcell__) __classdict__s@rr r s<9 9 HHrlocationvectorc\aa]tRt^toRtV3RltRt]R4t]R4t Rt Vt V;t #)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<\V\4'd VPp\V\4'g \ R4h\V\ 4'g \ R4h\ SV`WV4#)z!Force location should be a Point.z Force vector should be a Vector.) isinstancer masscenterrrrsuper__new__)clspointforcers&&&rr0 Force.__new__:s^ eX & &$$E%''?@ @%((>? ?ws511rchVPP RVP RVP R2#)z(point=z, force=))rrr2r3rs&r__repr__Force.__repr__Cs6>>**+74::,? A' (rcVP#Nr)r7s&rr2 Force.pointG }}rcVP#r;r*r7s&rr3 Force.forceK {{rr) rr r!r"r#r0r8propertyr2r3r&r' __classcell__rr(s@@rr r sA>2(rc\aa]tRt^PtoRtV3RltRt]R4t]R4t Rt Vt V;t #)r aTorque 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<\V\4'd VPp\V\4'g \ R4h\V\ 4'g \ R4h\ SV`WV4#)z+Torque location should be a ReferenceFrame.z!Torque vector should be a Vector.)r-rframerrrr/r0)r1rHtorquers&&&rr0Torque.__new__os\ eX & &KKE%00IJ J&&))?@ @ws622rchVPP RVP RVP R2#)z(frame=z , torque=r6)rrrHrIr7s&rr8Torque.__repr__xs6>>**+74::,?++a) *rcVP#r;r<r7s&rrH Torque.frame|r>rcVP#r;r@r7s&rrI Torque.torquerBrr) rr r!r"r#r0r8rCrHrIr&r'rDrEs@@rr r PsA<3*rc.pVFfp\V\4'g\\V4 R24hVP \ VP VPV,44Kh V#)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&* rgravityrYsa*M$))tDzl*=>? ?U4??DII 4LMN rc\V\4'dV#\V\4'd\V4^8wd\ RV R24h\V^,\ 4'd\ V^,V^,4#\V^,\4'd\V^,V^,4#\ RV^, R24h\R\V4 R24h)zBHelper function to parse loads and convert tuples to load objects.zLoad z should have a length of 2.z'Load not recognized. The load location z. should either be a Point or a ReferenceFrame.z Load type zA not recognized as a load. It should be a Force, Torque or tuple.) r-r tuplelen ValueErrorrr rr rrR)loads&r _parse_loadr_s$!! D% t9>uTF*EFG G d1gu % %a$q'* * Q 0 0$q'47+ +FtAwiMOP P jd -:; <resW"6>> )sJzJ+AB"3H3l2X2j: