Table of Contents
Does a sphere have to be smooth?
A sphere need not be smooth; if it is smooth, it need not be diffeomorphic to the Euclidean sphere (an exotic sphere). The Heine–Borel theorem implies that a Euclidean n-sphere is compact. The sphere is the inverse image of a one-point set under the continuous function ||x||. Therefore, the sphere is closed.
Can a sphere spin?
For the specific case of a sphere, then yes – when free of torques, both L and ω will stay constant and the sphere will rotate with constant angular velocity about a fixed axis.
How does a ball roll?
When you roll a ball on the ground, the electrons in the atoms on the surface of the ground push against the electrons in the atoms on the surface of your ball that is touching the ground. A rolling ball stops because the surface on which it rolls resists its motion. A rolling ball stops because of friction.
Which shape is perfectly round like a ball?
A sphere is shaped like a ball.
How many axis of rotation are there?
three axes
Just as there are three planes of motion, there are three axes of rotation: the anterior-posterior axis, the mediolateral axis, and the longitudinal axis. Joints rotate in these axes, allowing movement to occur in the planes.
Does ball roll or slide?
Yes, ball rolls as it’s sphere shape. Flat surface objects slide.
Why does the ball slide?
Some energy will be lost in form of heat due to friction and the torque of the ball is the equal but opposite reaction caused by friction. If friction wouldn’t exist, the ball would slide down the slant.
Is it possible to reflect light through a sphere?
No!! Even a perfectly-reflective sphere will still interact with the light, because of radiation pressure. Each time a photon bounces off a wall, the wall gets kicked backwards, gaining energy at the expense of the photon (on average).
What is an example of a perfect sphere?
For example, a perfectly isolated 4He atom in its ground state is a perfect sphere according to the standard model of particle physics. This follows because the nucleus is in a spin-zero state, and the electrons also couple to spin zero. In quantum mechanics, a spin of zero is invariant under a rotation, which means that it’s a perfect sphere.
What is a sphere in maths?
Sphere in Maths (Sphere shape, Properties, Surface Area & Volume) A sphere is a three dimensional solid that is round in shape, in geometry. The surface of a sphere is at equidistant (called radius) from the center. Learn its properties, formulas with examples in an easy way, at BYJU’S.
How do you find the equidistant points on a sphere?
You will find a point equidistant from any point on the surface of a sphere. The longest straight line that passes through the center of the sphere is called the diameter of the sphere. It is twice the length of the radius of the sphere.