5. A student wants to hang an RIT sign of weight Wat rest from two cables that make angles 01 and 02 with respect to the horizontal as show in the diagram. Let 71 be the unknown tension in cable #1 and 72 be the unknown tension in cable #2. Treat the sign as a point mass. a) Draw the free body diagram for the sign. Label all forces using standard notation and identify all relevant angles. b) Determine an expression for the tension 71. Write the result in terms of the quantities given in the problem (W, 01 and/or 02) and, perhaps, constants (e.g., It, /3, g, ...). c) Determine an expression for the tension 72. Write the result in terms of the quantities given in the problem (W, 01 and/or 02) and, perhaps, constants (e.g., It, 1/3, g, ...). d) The weight of the sign is W = 225 N and the angles are 01 = 25.0' and 02 = 55.0'. If the student chooses cables that are each capable of supporting a maximum tension of 150 N, will the design work? Numerical calculations are required. {No} 8 2 Cable #1 Cable #2 R . I .T6. A horizontal force F causes a block of mass m to slide up a rough incline surface with an acceleration of magnitude a. The surface is inclined at an angle 0 above the horizontal. Orient the positive x-axis up the ramp. a) What does the term "rough surface" mean? b) What type of friction (kinetic or static) acts on the block? What is the direction of the frictional force acting on the block? c) Draw a free body diagram for the block. d) Determine an expression for the magnitude of the frictional force acting on the block in terms of the quantities given in the problem (m, F, 0 and/or a) and, perhaps, constants (e.g., It, /s, g, ...). e) Determine an expression for the magnitude of the normal force acting on the block in terms of the quantities given in the problem (m, F, 0 and/or a) and, perhaps, constants (e.g., It, 13, g, ..). f) If F = 200 N, m = 15.0 kg, a = 25.0 cm/s, and 0 = 20.0, calculate numerical values for the magnitudes of the normal and frictional forces. {207 N, 134 N] g) What is the coefficient of friction between the block and the incline surface? {0.648} mYou are standing on a bathroom scale inside an elevator. Your weight is 140 lb. but the reading of the scale is 12E! lb. The scale reads the magnitude of the normal force. Note: 1 lb = 4.448 N. a] What is the magnitude and direction of the acceleration of the elevator? {1.40 mfs'} b} Can you tell whether the elevator is speeding up or slowing doom?I ExPLAIN