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Hyperbolic triangle ( length of the altitude)

A hyperbolic sector is a region of the Cartesian plane {(x,y)} bounded by rays from the origin to two points (a, 1/a) and (b, 1/b) and by the hyperbola xy ... more

Beta Function

In mathematics, the beta function, also called the Euler integral of the first kind, is a special function.The beta function was studied by Euler and ... more

Gravitational Acceleration

Gravity gives weight to physical objects and causes them to fall toward the ground when dropped.
If Μ is a point mass or the mass of a sphere with ... more

Mechanical equilibrium - 3=3 Torque example

As applied to a rigid body,a standard definition of mechanical equilibrium is:
A rigid body is in mechanical equilibrium when the sum of all forces on ... more

Magnetic field of a solenoid

The magnetic field in the volume of a long, thin loop of wire, wrapped around a metallic core (solenoid) when an electric current is passed through it, ... more

Margin of safety for failure load (measure of requirement verification)

Many agencies and organizations (such as aerospace) define the margin of safety (MoS or M.S.) including the design factor, in other words, the margin of ... more

Earnings per share (basic formula)

Earnings per share is the monetary value of earnings per each outstanding share of a company’s common stock. When preferred shares are cumulative, ... more

Rayleigh length (range)

In optics and especially laser science, the Rayleigh length or Rayleigh range is the distance along the propagation direction of a beam from the waist to ... more

Normal force for a sinking object settles on the solid floor

When a sinking in a fluid object settles on the solid floor, it experiences a normal force.

... more

Horizontal Forces at the wheels for a bicycle (front wheel)

Though longitudinally stable when stationary, a bike may become longitudinally unstable under sufficient acceleration or deceleration. The horizontal ... more

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