Explain what each term in the following equation refers to: Iw = 1w + Mdt...

 

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Explain what each term in the following equation refers to: Iw₂ = 1w₁ + Σ Mdt where I is the moment of inertia, w is the angular velocity and M is a moment. [3 marks] (b) An 8 kg flywheel of radius r is initially at rest. An object B of the same mass 8 kg is attached to a cord that is wrapped around the periphery of the flywheel. see Figure 3b. Consequently, the flywheel starts to rotate with angular velocity w. The rotation is resisted by a frictional torque M, in the bearings of 0.05 Nm. Assuming constant frictional torque use the work-energy principle to determine the flywheel's angular speed after it has rotated through radians. Assume the radius of gyration kg = 0.12 m and the radius of the flywheel r = 0.125 m. B Figure 3: This Figure refers to Q3a. The flywheel and the object B have the same mass. (c) A block of mass 20 kg is travelling along a surface at 2 m/s when a force P acts on it in the direction of motion for two seconds. Using the impulse/momentum approach, determine its final velocity after two seconds if P = 3t² +2 N and a friction force F = 2 N resists the motion. [Question 3 Total: 20 marks] [8 marks] [8 marks] Explain what each term in the following equation refers to: Iw₂ = 1w₁ + Σ Mdt where I is the moment of inertia, w is the angular velocity and M is a moment. [3 marks] (b) An 8 kg flywheel of radius r is initially at rest. An object B of the same mass 8 kg is attached to a cord that is wrapped around the periphery of the flywheel. see Figure 3b. Consequently, the flywheel starts to rotate with angular velocity w. The rotation is resisted by a frictional torque M, in the bearings of 0.05 Nm. Assuming constant frictional torque use the work-energy principle to determine the flywheel's angular speed after it has rotated through radians. Assume the radius of gyration kg = 0.12 m and the radius of the flywheel r = 0.125 m. B Figure 3: This Figure refers to Q3a. The flywheel and the object B have the same mass. (c) A block of mass 20 kg is travelling along a surface at 2 m/s when a force P acts on it in the direction of motion for two seconds. Using the impulse/momentum approach, determine its final velocity after two seconds if P = 3t² +2 N and a friction force F = 2 N resists the motion. [Question 3 Total: 20 marks] [8 marks] [8 marks]

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