In physics, a spherical pendulum is a higher dimensional analogue of the pendulum. It consists of a mass m moving without friction on the surface of a sphere. The only forces acting on the mass are the reaction from the sphere and gravity.
Owing to the spherical geometry of the problem, spherical coordinates are used to describe the position of the mass in terms of , where r is fixed such that .
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In physics, a sphericalpendulum is a higher dimensional analogue of the pendulum. It consists of a mass m moving without friction on the surface of a...
Cartesian formulation of the dynamics of the double pendulum. For a 3D example, a sphericalpendulum with constant length l free to swing in any angular...
A pendulum is a device made of a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting, equilibrium...
}}+r^{2}\sin ^{2}\theta {\ddot {\phi }}=0\,.} Consider the sphericalpendulum, a mass m (known as a "pendulum bob") attached to a rigid rod of length l of negligible...
of mass (i.e., pendulum-driven system), but there exist some other driving mechanisms. In a wider sense, however, the term "spherical robot" may also...
An inverted pendulum is a pendulum that has its center of mass above its pivot point. It is unstable and falls over without additional help. It can be...
that the force equals the negative gradient of potential energy. A sphericalpendulum consists of a mass m moving without friction on the surface of a sphere...
Observations of Foucault pendulums, popular in science museums around the world, demonstrate both that the world is spherical and that it rotates (not...
"paraconical" or "ball-borne" pendulum is that the pendulum's fulcrum is the changing point of contact between a spherical metal ball and a flat surface...
analogues to understand fundamental processes such as the motion of a sphericalpendulum and of a ball in a hollow cone, to demonstrate central force due to...
A seconds pendulum is a pendulum whose period is precisely two seconds; one second for a swing in one direction and one second for the return swing, a...
Such a pendulum (sometimes called a Schuler pendulum) would have a length equal to the radius of Earth. Consider a simple gravity pendulum, whose length...
action transfers energy to the clock's timekeeping element (usually a pendulum or balance wheel) to replace the energy lost to friction during its cycle...
engineer and inventor, he improved the design of telescopes and invented the pendulum clock, the most accurate timekeeper for almost 300 years. A talented mathematician...
oscillation of a compound pendulum is obtained from the ratio of the torque imposed by gravity on the mass of the pendulum to the resistance to acceleration...
dimension and so described as "pendulum" orbits, but were not found in nature. In three-dimensions the orbits become spherical without any nodes crossing...
heavens being a physical dome spanning over it. Early arguments for a spherical Earth pointed to various more subtle empirical observations, including...
is a dynamically-stable mobile robot designed to balance on a single spherical wheel (i.e., a ball). Through its single contact point with the ground...
The control of a unicycle can be considered to be similar to an inverted pendulum. Many electric unicycles have suspension, either operated by air or springs...
(joint with F. A Grünbaum and L. Haine), and "Perturbations of the sphericalpendulum and Abelian integrals". He was the head of the Bulgarian National...
Airsoft pellets (known as BBs) are spherical projectiles used by airsoft guns. Typically made of plastic, they usually measure around 6 mm (0.24 in) in...
are known as spherical astrolabe, armilla, or armil) is a model of objects in the sky (on the celestial sphere), consisting of a spherical framework of...
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