cameroon gce advanced level 2025 electrical/electronic applied mechanics 2

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Question 1: (10 marks)

 

Figure 1.a shows three forces applied to a pin.

• F1​=30N at an angle of 45∘ with the negative y-axis.
• F2​=40N at an angle of 15∘ with the positive x-axis.
• F3​=25N at an angle of 15∘ with the negative x-axis.

Figure 1.b shows a force F of 800 N acting on a bracket.

• $F=800N$ at an angle of 60∘ to the vertical arm.
• The vertical arm is 160 mm.
• The horizontal arm is 200 mm.

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Question 2: (10 marks)

 

A 50kg crate is attached to a trolley-beam system shown in Figure 2.a.

• Mass of crate, $W=50kg$.
• Distance $a=1.5m$.
• The system has two beams, a trolley, and a crate.
• Beam 1 is horizontal, supported at point C.
• Beam 2 is angled at 55∘ to the vertical.
• The vertical distance from point D to the horizontal line through C is 1.4 m.
• The horizontal distance from the vertical line through C to point B is 0.4 m.

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Question 3: (10 marks)

 

Figure 3.a shows an airplane on the ground.

• Propeller thrust $T=3000N$.
• Airplane mass = 1800 kg.
• The main wheels are located at 4m from the center of gravity (G).
• The tail wheel is at 0.8m from G.
• The propeller thrust acts at 1.4m above the line connecting the wheels.

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Question 4: (10 marks)

 

Figure 4 shows two cars, A and B, traveling on a straight road.

• Car A starts from rest (V0​=0) and accelerates at 6m/s2 until it reaches a speed of $80km/h$.
• Car B is located 6000 m down the road from car A.
• Car B travels at a constant speed of $60km/h$.

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Question 5: (10 marks)

 

Figure 5.a shows a disk that is initially rotating at an angular velocity ω0​.

• The disk undergoes a constant angular acceleration $\alpha$.
• Data:
  • α=6rad/s2.
  • $r=15cm$.
  • ω0​=8rad/s.
  • $\theta =2rev$.