What is equation of motion of a rotating body?

What is equation of motion of a rotating body?

Analogous to Newton’s law (F = Δ( mv)/Δ t) there is a rotational counterpart for rotational motion: t = Δ L/Δ t, or torque is the rate of change of angular momentum.

What are Euler’s equations of motion derive them?

The Euler equation is based on Newton’s second law, which relates the change in velocity of a fluid particle to the presence of a force. Associated with this is the conservation of momentum, so that the Euler equation can also be regarded as a consequence of the conservation of momentum.

What is Eulerian method?

Eulerian approach (a field approach) Identify (or label) a certain fixed location in the flow field and follow change in its property, as different materials pass through that location.

What are the assumptions in Euler’s equation?

It is based on the following assumptions: The fluid is non-viscous (i,e., the frictional losses are zero). The fluid is homogeneous and incompressible (i.e., mass density of the fluid is constant). The flow is continuous, steady and along the streamline.

What are the assumptions of Bernoulli’s equation of motion?

the flow must be steady, i.e. the flow parameters (velocity, density, etc…) at any point cannot change with time, the flow must be incompressible – even though pressure varies, the density must remain constant along a streamline; friction by viscous forces must be negligible.

What is the formula for polyhedrons?

Let’s begin by introducing the protagonist of this story — Euler’s formula: V – E + F = 2. Simple though it may look, this little formula encapsulates a fundamental property of those three-dimensional solids we call polyhedra, which have fascinated mathematicians for over 4000 years.

What is Euler’s formula for cube?

It is written F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges. A cube, for example, has 6 faces, 8 vertices, and 12 edges and satisfies this formula.

Can a polyhedron have 8 faces 20 edges and 15 vertices?

Question 8 Euler;s formula can’t be proved. Hence,a polyhedron can not have 10 faces,20 edges and 15 vertices.

Can a polyhedron have 20 faces 12 vertices and 22 edges?

Answer. Answer: There are 30 edges of a polyhedron having 20 faces and 12 vertices.

Can a polyhedron have 12 faces 20 edges and 15 vertices?

No. so, 12 + 15 – 20 = 7 that is not equal to 2.

Can a polyhedron have 12 faces 18 edges and 20 vertices?

Answer: No, it cannot have the given. Where F is number of faces, V the number of vertices and E the number of edges. Therefore the polyhedron cannot have the given.

Can a polyhedron have 12 faces 24 edges and 20 vertices?

Answer: A POLYHEDRON CANNOT HAVE 12 FACES, 20 EDGES AND 14 VERTICES.

Can a polyhedron have 12 faces 22 edges and 17 vertices?

Answer. Answer: No polyhedron has 12 faces, 22 edges, and 17 vertices.