A bucket of water of mass 20.6 kg is suspended by a rope wrapped around a windlass (a solid cylinder) with diameter 0.426 m and mass 18.0 kg . The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls a distance 23.6 m to the water. You can ignore the weight of the rope. In addition, assume that the rope rolls off of the cylind
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The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
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Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
Write an equation for the bucket and an equation for the cylinder. Your equations should contain the unknowns: abucket, αcylinder and T, the tension in the rope.
Using the relation between αcylinder and arope, as well as your two equations, solve for the acceleration of the bucket.
*Please include force diagrams*
Info:
A bucket of water of mass 20.6 kg is suspended by a rope wrapped around a windlass (a solid cylinder) with diameter 0.426 m and mass 18.0 kg . The cylinder pivots on a frictionless axle through its center.
The bucket is released from rest at the top of a well and falls a distance 23.6 m to the water.
You can ignore the weight of the rope. In addition, assume that the rope rolls off of the cylinder without slipping.
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