37 results.
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Find the centroid of a shape made up of a rectangle and two triangles.
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Student is given two points defined symbolically, and must find the equation of the line they define, then use integration to find an equation for the area under the line, bounded by the x-axis and vertical lines through the two points.
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Find the moment of inertia of semi and quarter circles using the parallel axis theorem.
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Find the area, first moment of area, and coordinates of a general spandrel. The area may be above or below the function.
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Calculate the moment of inertia of a composite shape consiting of two rectangles about the x or y-axis. Parallel axis theorem is often required.
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Question in Transition to university
Substitute values into formulae for the area or volume of various geometric objects.
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Write expressions for the moment of inertia of simple shapes about various axes.
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Use the parallel axis theorem to find the area moment of inertia of a triangle and a rectangle about various axes.
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Find moment of inertia of a shape which requires the use of the parallel axis theorem for a semicircle.
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Find moment of inertia wrt the x- and y- axes for a shape made up of two rectangles.
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Find moment of inertia of a composite shape consisting of a rectangle and two triangles with respect to the x-axis. Shapes rest on the x-axis so the parallel axis theorem is not required.
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Use a table of properties to find the Area Moment of inertia for simple shapes: rectangle, triangle, circle, semicircle, and quarter circle.
The parallel axis theorem is not required for any of these shapes. One situation requires subtracting a triangle from a rectangle however.
Distinguish between centroidal and non-centroidal moments of inertia.
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Find the centroid of a shape made from a rectangle, triangle, and circle.
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Find roots and the area under a parabola
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Finding areas under graphs using definite integration.
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Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always obtuse. A secondary application is finding the area of a triangle.
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Question in Content created by Newcastle University by
Newcastle University Mathematics and Statistics
A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.
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Question in Transition to university
This question tests the students ability to calculate the area of different 2D shapes given the units and measurements required. The formulae for the areas are available if required but students are encouraged to try to remember them themselves.
The shapes are: a rectangle, a parallelogram, a right-angled triangle, and a trapezium.
Author of gif: Picknick
https://commons.wikimedia.org/wiki/File:Parallelogram_area_animated.gif
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license. -
Finding areas under graphs using definite integration.
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Area and Perimeter of Rectangles
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Algebra word problems using area and perimeter.
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