3a Q2: Consider a cylindrical container that has water in it. The cylinder rotates about itsaxis at an angular speed of w. Upon rotation, the level of water will not remain flat; it will becurved such that it has an increasingly higher level as one moves away from the centre towardsthe walls of the cylinder. Consider a coordinate system that is fixed at the cylinder and rotateswith at the same angular velocity. Take the z' axis to be aligned with the axis of the cylindersuch that the angular velocity points along the +z' direction. The x'y' plane is, hence, parallelto the cylinder base. Place your coordinate system such that the lowest point on the watersurface is at the origin. Solve the following questions:(a) Consider a point mass m that is located at the surface of the water at the coordinates(x', 0, z'). Draw a free body diagram of the mass indicating the directions of the weight,the "normal" force' (FN) from the rest of the water, and all inertial (fictitious) forces.(b) Use the fact that FN is perpendicular to the water surface and find the components ofFN in terms of the components of the other forces that act on the particle.(c) Use your results of the previous part to express z' in terms of x'. Discuss your results.Q3:(a) Find the curl of the centrifugal force. Comment on your result.(b) Based on your result of the previous part, find the corresponding potential energy ifrelevant.

3 (a) Centrifugal force is directed radially outward from that aixs F→=mω2r.r^

Answered: (a) Find the curl of the centrifugal…

Engineering

Mechanical Engineering

(a) Find the curl of the centrifugal force. Comment on your result.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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