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Figure 2 shows block C of M kg mass, moving up a distance of 7 m from rest with an acceleration of 6.1 m/s2.

 


Figure 2 shows block C of M kg mass, moving up a distance of 7 m from rest with an acceleration of 6.1 m/s2. Cylinder A has a mass of 27 kg and radius of 0.55 m. An anti- clockwise driving torque of 100 Nm is applied on cylinder A to accelerate the system. Neglect the weight and inertia of both inextensible cable and frictionless pulley B. r=0.55 m A Driving Torque = 100 Nm Figure 2 B. C a = 6.1 m/s M kg Determine: (a) the time for block C to travel up by 7m and the angular acceleration of cylinder A, using the equations of motion, (4 marks) (b) the cable tension, using Newton's Second Law of angular motion, with the aid of a free-body diagram of cylinder A, and (6 marks) (c) the value of mass M, using Newton's Second Law of linear motion, with the aid of a free-body diagram of block C.

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Solutions Step 1 2a The upward acceleration of block C is a 61 ms Initially it was at rest so the in... blur-text-image

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