Problem text A vertical semicircular guide, with radius and without friction, is constrained to a platform that moves with constant acceleration along the horizontal direction (see figure). A point body of mass , initially...

The conic sections (or simply conics) are those curves that are obtained as the intersection of the surface of a cone with a plane. Here, we discuss what kind of curves are achieved by varying the characteristics of the plane...

Problem text Let us consider an object shaped as a parallelepiped and placed on a horizontal plane with friction (see figure). In particular, let us suppose that the object has a mass , a...

What is the Least Common Multiple (LCM) of two or more fractions? Probably, one can ask himself “What do I need this calculation for?” or maybe one thinks that it is equal to the...

The periodic decimal numbers as every kind of decimal numbers have own generating fraction. In this post, we provide a general proof of the method usually used for converting them to fractions. Let us...

Solved problem A ball is tied to one end of a string. The other end of the string is held fixed. The ball is set moving around a vertical circle without friction, and with...

A parabolic mirror is a mirror that has the shape of a rotating paraboloid. The latter one is a space surface of equation (see example in the figure below for ), obtained by rotating the...

What is the Cartesian equation of a round cartoons cloud? What do we mean for a cartoons cloud? Of course, I do not mean a real cloud made by water steam and floating in...

What mark do you need to get the desired average? In details, let us consider a student that up to date received in a discipline the following sequence of marks Moreover, let us assume that...

Today, we will study the motion of a skydiver with the aim to obtain its speed-time graph. For this purpose, we will use both a spreadsheet and the graphics of the didactic software GeoGebra. As...