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2 cards from this section. Quick, good the night before a test.
What are the coordinates of the center of the +θ plane?
Recall how cylindrical coordinates are defined.
How is the area for the θ planes defined?
A formula related to area computation in cylindrical geometry.
What determines the area of the +θ and -θ planes?
Focus on the formula discussed earlier in the session.
True or False: The traction on the +θ plane can vary across the plane area.
Recall our assumptions about traction.
Given a cylindrical element with r = 3 cm, ∆z = 5 cm, and traction 15 N/cm², calculate the total force on the +θ plane. What additional terms could impact the calculation?
Break down the force expression, ensuring you incorporate area and traction correctly while considering corrections.
Discuss the effect of varying r on the force calculated on the +θ plane in cylindrical versus Cartesian coordinates. What extra terms would arise from these variations?
Compare the changes and their mathematical implications across both systems.
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