The friction force is the force exerted by a surface when an object exerts force across it.   A coefficient of friction(μ) is a scalar proportion of two objects and their normal reaction. There are 2 cases: Is the dynamic/kinetic coefficient of friction when either or both objects are dynamic. IsContinue Reading

The relationship between body, forces acting upon it, and its motion. In an inertial frame of reference is when net force is equal to zero = therefore there is no resistance to the object’s velocity. First law: In an inertial frame of reference, an object either remains at rest orContinue Reading

Is a force(tension force to be exact) that makes a body follow a curved path with a center. The force’s direction is always to the instantaneous center of the path and orthogonal to the motion of the body. The body’s acceleration can be calculated as: a= v^2/r (where v squaredContinue Reading

Unbalanced forces create acceleration in the direction of the Net force. Fy = my” Which is the translational acceleration in the y direction Unbalanced moments create acceleration in the direction of the Net moment/torque around a given axis, where α is the angular acceleration(rad/sec*sec),I – moment of Inertia(3X3). τ =Continue Reading

Potential field (represented by a number or tensor, that has a value for each point in space-time) combines attraction to the goal, and repulsion from obstacles in order to plan a path for an autonomous system.     most commonly used attractive potential function is:   where, ε is a positive scaling factor, p(q, qgoal)Continue Reading