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Obligatoriske oppgaver for uke 3

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Replace two forces with a equivalent force-couple system at a specified point.

Student calculates $\bar{y}$ for a triangle.  Must use similar triangles get element $dA$.

Find the magnitude and direction of a force given its scalar components.

Find reactions for a particle in equilibrium

Find forces required to hold a particle in equilibrium when subjected to a downward load.  Directions of the reactions are given.  

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3D equilibrium of a particle problem.  Rectangular steel plate supported by three cables, dimensions and density given.

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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.   

Simplify (a) a fully-factorised fraction with common factors, and (b) a fraction where the numerator is a product and the denominator a sum sharing the same variables (that cannot be simplified). The variables are randomised. Part of HELM book 1.4

Simplify an algebraic fraction where both numerator and denominator must first be factorised. Part of HELM Book 1.4

Simplify an algebraic fraction where the numerator is a factor of the quadratic on the denominator. Posed as a yes/no question, is this fraction equivalent to this simplified form? The answer is always yes. Part of HELM Book 1.4

Simplify an algebraic fraction where the numerator and denominator first need to be factorised (the common factor is an integer). Part of HELM book 1.4

Simplify an algebraic fraction that is fully factorised with common factors between the numerator and denominator, and one of the variables has a larger index on the denominator. Part of HELM Book 1.4

Simplify a fraction where the numerator and denominator are factorised and have common products, and one of the common factors is powered. Part of HELM book 1.4

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Simplify, if possible,
(a) $\frac{2}{3}x^2 + \frac{x^2}{3}$, (b) $0.5x^2 + \frac{3}{4}x^2 - \frac{11}{2}x$, (c) $3x^3 - 11x + 3yx + 11$, and (d) $-4\alpha x^2 + \beta x^2$ where $\alpha$ and $\beta$ are constants.

The numbers and letters are all randomised.

Part of HELM Book 1.3

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Korting en nieuwe prijs berekenen op basis van oude prijs.

rebelmaths

Use Pythagoras' Theorem to find the length of a side on a right-angled triangle.

Voorbeeldvragen examencommissie

Hoogte, valtijd en gemiddelde snelheid berekenen.

Multiple choice