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My question is where does P come from? the questions is solved and broken down i

ID: 1784311 • Letter: M

Question

My question is where does P come from? the questions is solved and broken down in how to solve but I am wondering where P comes what it is and how it effects the box, and how the 15 degrees is connected to the P force.

thanks

43 2.3 Forces and Equilibrium in a Plane s supported by on it in order to he dock. At the gle between the e and the hori- Sample Problem 2.5 Deter tai 30 kg mine the magnitude and direction of the smallest force F that main- ins the 30-kg package shown in equilibrium. Note that the force exerted by 1.5° the rollers on the package is perpendicular to the incline. STRATEGY: This is an equilibrium problem with three coplanar forces that you can solve with a force triangle. The new wrinkle is to determine a minimum force. You can approach this part of the solution in a way similar to Sample Problem 2.2. MODELING and ANALYSIS: W (30 kg19.81 m/sa) 294 N three coplanar oblem using a Free-Body Diagram. Choose the package as a free body, assuming that it can be treated as a particle. Then draw the corresponding free-body diagram (Fig. 1). d draw the e cable AB, Fig. 1 Free-body diagram of package, treated as a particle. Equilibrium Condition. Since only three forces act on the free body draw a force triangle to express that it is in equilibrium (Fig. 2). Line 1-1 represents the known direction of P. In order to obtain the minimum value of the force F, choose the direction of F to be perpendicular to that of P.n From the geometry of this triangle, nt A, draw g the law Lu 294 N F = (294 N) sin 15° = 76.1 N = 15° F = 76.1 N 15 REFLECT and THINK: Determining maximum and minimum forces to maintain equilibrium is a common practical problem. Here the force needed is about 25% of the weight of the package, which seems reason- able for an incline of 15° uotient. btain Fig. 2 Force triangle of the forces acting on package. lb" g one orces

Explanation / Answer

Actually P is the force exerted by surface(rollers here ),often known as normal reaction.It is making an 15 degree with vertcal upward.