A free-body diagram is used in physics to show the direction and relative magnitude of all forces acting upon an object. Typically, the object is represented by a box or a dot. Arrows are used to show the direction of each force acting on the object.
In the case of a book sitting on a desk, the force of gravity is shown as an arrow pointing down from the bottom edge of the box. The force of the desk pushing upward on the book, called the normal force, is shown by an arrow pointing up from the top edge of the box. For an object in motion, the applied force is shown as an arrow pointing in the direction of motion, and friction is shown as an arrow pointing in the opposite direction from the back edge of the box. Arrows of different lengths are used to indicate the relative magnitude of the various forces.
Learn MoreTessellations occur when a shape is repeated in an interlocking pattern that fully covers a flat surface, or plane, like the pieces of a puzzle. Some shapes cannot tessellate because they are not regular polygons or do not contain vertices (corner points). They therefore cannot be arranged on a plane without overlapping or leaving some space uncovered. Due to its rounded edges and lack of vertices, the circle is normally not tessellated.
Full Answer >A triangle can have two acute angles. Some examples of triangle types that have two acute angles are a right triangle and an isosceles right triangle.
Full Answer >A triangular pyramid has four vertices and six edges. It is comprised of four equilateral triangles, with any one triangle being used as the base and the others connecting at the vertices to form a pyramid.
Full Answer >There are many uses of geometric sequences in everyday life, but one of the most common is in calculating interest earned. Mathematicians calculate a term in the series by multiplying the initial value in the sequence by the rate raised to the power of one less than the term number. The sequence allows a borrower to know the amount his bank expects him to pay back using simple interest.
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