Question

Please solve the problems below indi assignment is due on Friday May 24h 2019, scanned copy only to be uploaded to SLATE before 5 steps involved in the solution including appropriate diagrams. Include all formulas/equations and units of relevant quantities. You must include this cover page in your assignment submission. Failure to include the cover page will result in 10% deduction Q1) Two trucks are pulling a car from a ditch as shown in Figure 1 below. If the truck A is pulling with a force of 12 kN and truck B is pulling with a force of 9 kN, determine the resultant force on the car using the vector triangle, cosine law and sine law approach. (30 marks) ly The pm. Show all Figure 1. Diagram showing trucks A and B pulling a car from the ditch. Q2) Determine the resultant of the force system shown in Figure 2. (35 marks) 60 N Figure 2 Q3 A block on an inclined plane has forces shown in the figure below acting on it. Find the resultant force on the block. (35 marks) Figure 3. Block on an inclined plane submitted to external forces.

Answer 1

All values given in figure are blur so I assume values Question 3: Condition for equilibrium: 170 sin (90-0) 170 Σ&--26 cos θ3_ 170 cos( 90-6,)+120 170 cos (90-02) Σ =-24-80 + 120 e, 120 26 cos 6, Σ5-= 170 sin(90-82)-90-26 sin(83) 2F,-150 -90-10 26 90 35-50 26 sin e e1 Resultant of force: R = V 162 + 502 R52.497 N

θι-22.619 θ,-28.072 tan θ,-TS 5 tan θ,-ñ θ,-22.619 a12

Question 2: Condition for equilibrium 204 sin θ ΣΑΧ 204 cos + 70 cos 65-160 cos 75 204 Σ&-180-29.583-41.411 204 cos θ| Σ&-168.172 Σ5--204 sin θ|-70 sin 65-160 sin 75 Σ5-96-63.441-154.548 65 Σ5 121.989 40 70 cos 65 160 cos 75 Resultant of Force system: 160 70 70 sin 65 R(168.172)2 +(-121.548)2 160 sin 75 R 207.757 N 15 θ,-28.072