Accéder aux moments clés de Problem 1: Inclined to Stay (25 points) A box of mass m = 35 kg is placed on an incline that makes an angle of 20º with the horizontal. Static friction causes the box to remain stationary on the incline. 35 kg 20° 1.1: (5 points) Draw a free-body diagram for the box, labeling all forces acting on the box and showing their directions. � �𝑓 ⃑ 𝑠𝑠 𝑁𝑁 � ⃑ 𝑦𝑦� ⃑ 𝐹𝐹 𝑔𝑔 𝑥𝑥� 1.2: (10 points) Find the magnitude of the static friction force acting on the box. � �𝐹𝑛𝑛𝑛𝑛𝑛𝑛,𝑥𝑥 = 𝐹𝐹𝑔𝑔,𝑥𝑥 − 𝑓𝑓𝑠𝑠 = 0 ⟹ 𝑓𝑓𝑠𝑠 = 𝐹𝐹𝑔𝑔,𝑥𝑥 � �𝐹𝑔𝑔,𝑥𝑥 = 𝑚𝑚𝑚𝑚sin𝜃𝜃 = (35 𝑘𝑘𝑚𝑚)(9.81 𝑚𝑚 𝑠𝑠2 ⁄ )sin20° = 117 𝑁𝑁 1.3: (10 points) Find the minimum coefficient of static friction, µs, between the box and the incline.