Mechanical work is line integral of force¶
Mechanical work is a scalar quantity denoting the energy transferred to or from an object via the application of force along a displacement.
Links:
- Symbol:
W- Latex:
\(W\)
- Dimension:
energy
- position_vector¶
Position vector of the body. See
distance_to_origin.
- Symbol:
r- Latex:
\({\vec r}\)
- Dimension:
length
- force¶
Vector of the exerted force as a function of
position_vector.
- Symbol:
F(r)- Latex:
\({\vec F} \left( {\vec r} \right)\)
- Dimension:
force
- curve¶
Curve given by the body’s trajectory during its displacement.
- initial_parameter¶
Initial value of the curve parameter.
- Symbol:
t_0- Latex:
\(t_{0}\)
- Dimension:
any_dimension
- final_parameter¶
Final value of the curve parameter.
- Symbol:
t_0- Latex:
\(t_{0}\)
- Dimension:
any_dimension
- law¶
W = LineIntegral(dot(F(r), dr), C)- Latex:
- \[W = \int_{C} \left( {\vec F} \left( {\vec r} \right), d \vec r \right)\]