6. A very light rope is wrapped around a wheel of radius R = 2.0m. The...

 

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6. A very light rope is wrapped around a wheel of radius R = 2.0m. The wheel is mounted with frictionless bearings on an axle through its center. A block of mass M = from the end of the rope. When the system is released from rest, it is observed that the block 14kg is suspended descends h=10m in t = 2.0s. a) Set up Newton's second law for the wheel and the hanging mass, respectively (4 pts). b) Write down the energy conservation equation of the system (2 pts). Note: For Problem a) and b), you only need to show your result in the form of symbolic expression. c) Calculate the moment of inertia of the wheel (5 pts). 6. A very light rope is wrapped around a wheel of radius R = 2.0m. The wheel is mounted with frictionless bearings on an axle through its center. A block of mass M = from the end of the rope. When the system is released from rest, it is observed that the block 14kg is suspended descends h=10m in t = 2.0s. a) Set up Newton's second law for the wheel and the hanging mass, respectively (4 pts). b) Write down the energy conservation equation of the system (2 pts). Note: For Problem a) and b), you only need to show your result in the form of symbolic expression. c) Calculate the moment of inertia of the wheel (5 pts).