A box of mass m rests on an incline of angle with respect to the horizontal. The coefficient of 0 static friction between the block and the surface is μg. a.

(5 points) Setting up the Problem: Sketch the physical situation and label your sketch with appropriate quantities from the problem statement. ● ● b. (5 points) Setting up the Equations: Using Newton's Law(s) determine a symbolic expression for the magnitude of the static friction force. c. (5 points) Solving the equations: What is the maximal possible magnitude of the static friction force for the box? Is this the same as the fiction force you calculated in part b? Explain in one or two sentences. Use a diagram to back up your verbal response. ● Choose an appropriate coordinate system and draw a free body diagram. List any physical assumptions you are using to solve the problem. (Hint: think about how you want the axes of your coordinate system to be directed with respect to the motion of the object.) d. (5 points) Reasoning about Special Cases: ● What is the condition for the box to start sliding? Explain using words and equations. Determine a symbolic expression for the angle at which the box start to slide. ● e. (5 points) Further Sensemaking: ● 2 Check the physical units of your expressions from parts b, c, and d. Does the mass of the box affect the angle at which the box starts to slide? Why or why not?