Introduction to degrees of freedom:
The degrees of freedom of dynamical system are the number of independent coordinates required to specify completely the position and configuration of the system. Alternatively, the degrees of freedom of a dynamical system may be defined as the number of independent means by which the position and configuration of the system may be changed. Please try this What is the Unit for Force for solving your problems.
Explanation for degrees of freedom values
Find the values of degrees of freedom:
Suppose a particle is moving along a straight line. The position of the particle may be expressed completely by expressing its displacement along X-axis. Thus, a particle constrained to move along a straight line has one degree of freedom only.
If a particle is free to move in a plane, then its position may be specified by expressing X and Y-components of its displacement.It has two degrees of freedom values.
If a particle is free to move in space, then its position may be specified by expressing X, Y, Z components of its displacement vector. It has three degrees of freedom values.
Having problem with Specific Gravity Problems keep reading my articles, i will try to help you.
Degree of freedom values of different molecule's
Kinds of degrees of freedom values:
1. Degrees of freedom values of a rigid body:
A rigid body may perform translational and rotational motions. The translational motion is represented by centre of mass of body; which has three degrees of freedom values.The rotational motion of the body may also be resolved into three perpendicular components.So it also possesses three degrees of freedom.
2. Degrees of freedom of gas molecules:
Monoatomic gas: A molecule of a monoatomic gas like helium, neon, argon contains one atom only.
Translational kinetic energy = 1/2 mv2.
Its velocity has three components along perpendicular axes.Therefore a point mass has 3 degrees of freedom and there is no rotational motion.So the values of degrees of freedom is 3 for monoatomic gas.
Diatomic gas: A molecule of diatomic gas has two atoms which are bound together by attractive forces.It has 2 types of motion:
Translational motion: The translational motion of molecule is represented by centre of mass, which has three degrees of freedom.
Rotational motion: The values of degrees of freedom is 5 that is it associated with diatomic molecule.
3. Triatomic gas: A molecule of a triatomic gas like linear triatomic molecule and non-linear triatomic molecule.
The linear triatomic molecule has degrees of freedom as 7. That is f = 3n –l =3 x 3 -2 =7.
The non linear triatomic molecule has degrees of freedom as 6 that is f = 3n – l = 3 x 3 – 3 =6.
The degrees of freedom of dynamical system are the number of independent coordinates required to specify completely the position and configuration of the system. Alternatively, the degrees of freedom of a dynamical system may be defined as the number of independent means by which the position and configuration of the system may be changed. Please try this What is the Unit for Force for solving your problems.
Explanation for degrees of freedom values
Find the values of degrees of freedom:
Suppose a particle is moving along a straight line. The position of the particle may be expressed completely by expressing its displacement along X-axis. Thus, a particle constrained to move along a straight line has one degree of freedom only.
If a particle is free to move in a plane, then its position may be specified by expressing X and Y-components of its displacement.It has two degrees of freedom values.
If a particle is free to move in space, then its position may be specified by expressing X, Y, Z components of its displacement vector. It has three degrees of freedom values.
Having problem with Specific Gravity Problems keep reading my articles, i will try to help you.
Degree of freedom values of different molecule's
Kinds of degrees of freedom values:
1. Degrees of freedom values of a rigid body:
A rigid body may perform translational and rotational motions. The translational motion is represented by centre of mass of body; which has three degrees of freedom values.The rotational motion of the body may also be resolved into three perpendicular components.So it also possesses three degrees of freedom.
2. Degrees of freedom of gas molecules:
Monoatomic gas: A molecule of a monoatomic gas like helium, neon, argon contains one atom only.
Translational kinetic energy = 1/2 mv2.
Its velocity has three components along perpendicular axes.Therefore a point mass has 3 degrees of freedom and there is no rotational motion.So the values of degrees of freedom is 3 for monoatomic gas.
Diatomic gas: A molecule of diatomic gas has two atoms which are bound together by attractive forces.It has 2 types of motion:
Translational motion: The translational motion of molecule is represented by centre of mass, which has three degrees of freedom.
Rotational motion: The values of degrees of freedom is 5 that is it associated with diatomic molecule.
3. Triatomic gas: A molecule of a triatomic gas like linear triatomic molecule and non-linear triatomic molecule.
The linear triatomic molecule has degrees of freedom as 7. That is f = 3n –l =3 x 3 -2 =7.
The non linear triatomic molecule has degrees of freedom as 6 that is f = 3n – l = 3 x 3 – 3 =6.
No comments:
Post a Comment