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  1. Jul 20, 2022 · The contact force is a distributed force acting over all the points of contact between your hand and the surface. For most applications we shall treat the contact force as acting at single point but precaution must be taken when the distributed nature of the contact force plays a key role in constraining the motion of a rigid body.

  2. Jan 14, 2022 · $~F~$ constraint force $~F_T~$ Tire force or constraint force (in case of no slip between the wheel and the road) $~I_W~$ wheel inertia; the equation of motion for the car acceleration $~\dot v_C~$ and with "no slip condition" is: $$~\frac{M}{4}\dot v_C=F\\ F=\frac{M\,R\,\tau}{R^2(4\,m+M)+4\,I_W}$$

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  4. Mar 28, 2024 · If the car is going at constant speed around a circle, then the sum of the forces on the car must be directed towards the center of the circle. The only force on the car that could be directed towards the center of the circle is the force of friction between the tires and the road.

  5. 8.3 Constraint Forces. Knowledge of all the external and internal forces acting on each of the objects in a system and applying Newton’s Second Law to each of the objects determine a set of equations of motion. These equations of motion are not necessarily independent due to the fact that the motion of the objects may be limited by equations ...

  6. Mar 26, 2024 · Friction is a force that arises when things rub together. The frictional force between the road and tire is what allows the tire to "push" off the road, thus moving the car forward (Newton's third law — the action is the pushing frictional force, the reaction is the forward movement of the car).

  7. Plugging into Newton's second law equations and solving for each constraint force yields: \[\begin{aligned} F_Q &= -\frac{m\ell\dot\theta^2}{2}\sin\phi + \frac{m\ell\ddot\theta}{2}\cos\phi \\ F_P &= -\frac{m\ell\dot\theta^2}{2}\cos\phi - \frac{m\ell\ddot\theta}{2}\sin\phi + mg \end{aligned}\]

  8. Oct 20, 2020 · A particle tied to one end of a string and made to move in a particular way. Suppose we want a straight-line motion from a car but the car moves on a curved path and we control it and forcefully moved in a straight line. The straight-line motion is constrained motion. Bicycling is the best example.

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