The assembly shown in Figure 3 consists of a homogeneous slender rod 1 that is rigidly...

      

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The assembly shown in Figure 3 consists of a homogeneous slender rod 1 that is rigidly coupled to a homogeneous sphere 2. The assembly is rotating in the vertical plane about the pin at O. Neglect the friction at O. When the assembly is in the position where 0= 30°, its angular velocity, w is 1.2 rad/s clockwise. Given, L= 800 mm, m1= 30 kg, m2= 80 kg, and R= 200 mm. At this instant: (i) Sketch the free body diagram and kinetic diagram of the assembly. (ii) Determine the angular acceleration, a of the assembly. (iii) Determine the magnitude of resultant reaction force acting on pin at O. 3 To m₁ L (1 m₂ Figure 3 R (2) The assembly shown in Figure 3 consists of a homogeneous slender rod 1 that is rigidly coupled to a homogeneous sphere 2. The assembly is rotating in the vertical plane about the pin at O. Neglect the friction at O. When the assembly is in the position where 0= 30°, its angular velocity, w is 1.2 rad/s clockwise. Given, L= 800 mm, m1= 30 kg, m2= 80 kg, and R= 200 mm. At this instant: (i) Sketch the free body diagram and kinetic diagram of the assembly. (ii) Determine the angular acceleration, a of the assembly. (iii) Determine the magnitude of resultant reaction force acting on pin at O. 3 To m₁ L (1 m₂ Figure 3 R (2)