1. A uniform bar of length 4.7 m and mass 4.4 kg is attached to a wall through a hinge mechanism which allows it to rotate freely. The other end of the bar is supported by a rope of length 5.6 m which is also connected to the wall. What is the tension in the rope in N?
2. A uniform bar of length 5 m and mass 4.2 kg is attached to a wall through a hinge mechanism which allows it to rotate freely. The other end of the bar is supported by a rope of length 5.7 m which is also connected to the wall. What force in N does the wall exert horizontally on the bar through the hinge? (Consider a force to the right positive and a force to the left negative.)
3. A thin hoop of mass 3.4 kg and radius 0.2 m rolls down a ramp inclined at an angle 0.15 radians to the horizontal. What is the acceleration of the rolling hoop in m/s2 ?
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