A box with weight W sits on an inclined plane at an angle [i]θ[/i] from the horizontal.[br][br]Drag the red dot on the interactive Figure to change the angle of the plane. Use the sliders on the right to change each of the variables. [br][br]For the following activity, the following coordinate system will be used,[br][br] The x-axis is defined parallel to the inclined plane and is positive moving rightward up the plane [math]+\text{↗}[/math][br][br] The y-axis is defined perpendicular to the inclined plane and is positive toward the top of the page [math]+\text{↖}[/math] [br][br] positive moments produce a counterclockwise rotation [math]+\text{↺}[/math]
In the interactive Figure below, use the sliders to change the applied force P and its location, the box’s weight W, the angle of the inclined plane [i]θ, [/i]and the coefficients of static and kinetic friction [math]\mu_s[/math]and [math]\mu_k[/math]. [br][br]Observe how the magnitude of the friction force F, the normal force N, and the distance of the[br]normal force from the center of the box x, change as a result. [br]
Before any impending motion (i.e., before slipping occurs), increasing the applied force P has what effect on the magnitude of the friction force F?
Before any impending motion, why does the friction force F increase as the applied force P increases?
Increasing the applied force P has what effect on the magnitude of the normal force N acting on the box?
Increasing the applied force P on the box has what effect on the location of the normal force [i]x[/i]?
Increasing the height at which P acts on the box has what effect on the location of the normal force [i]x[/i]?
Increasing the height at which P acts on the box has what effect on the magnitude of the friction force F?
Increasing the weight W of the box has what effect on the location of the normal force [i]x[/i]?
Slipping of the box occurs when which of the following conditions is met?
If P and W remain the same, increasing the angle [i]θ[/i] of the inclined plane can induce slipping because,
The maximum static friction force F[sub]max[/sub] that exists between the inclined plane and box is equal to,
Tipping of the box occurs when which of the following conditions is met?
Using the above coordinate system, which of the following is the correct equilibrium equation [math]\sum F_x[/math]for the box?
For the following question, [i]h[/i] is the height along the y-axis at which the applied force P acts on the box. [br][br]If the normal force N is located at the leftmost edge of the box, which of the following is the correct equilibrium equation for the sum of moments[math]\sum M_O[/math]about that point? [br][br]