Consider a cart of mass M that can roll on frictionless bearings. In which of the following cases will the normal force acting on the cart be less than the cart's weight? Select two answers. For each answer choice A-D, draw a free body diagram for mass M and write an equation that has Fnet and other forces in it. Explain using your equations why the two answers you chose have normal force less than weight force.

Consider a cart of mass M that can roll on frictionless bearings In which of the following cases will the normal force acting on the cart be less than the carts class=

Respuesta :

We will have the following:

We recall that the normal force is perpendicular to the surface, so we can see that in scenario A and scenario C the normal force will be a component of the weight of the car, and thus it will be less than the weight.

Free body diagrams:

Scenario A:

Scenario B:

Scenario C:

Scenario D:

***Equations for scenarios A and :***

Scenario A:

[tex]\begin{gathered} \sum F_x=Ncos(\theta) \\ \\ \sum F_y=wg+Nsin(\theta) \end{gathered}[/tex]

*Scenario C:

[tex]\begin{gathered} \sum F_x=Fcos(\theta) \\ \\ \sum F_y=mg+N+Fsin(\theta) \end{gathered}[/tex]

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