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Law of conservation of angular momentum...

Law of conservation of angular momentum

A

orbits

B

areas

C

periods

D

conservation of kinetic energy

Text Solution

Verified by Experts

The correct Answer is:
B
In planetary motion, the angular momentum conservation leads to the law of areas.
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(i) Establish the relation between torque and angular acceleration. Hence define moment of inertia. (ii) Can a body in translatory motion have angular momentum? Explain? (iii) Extablish the relation between angular moment and moment of inertia for a rigid body. (iv) Why is it more difficult to revolve a stone by tying it to a longer string than by tying it to a shorter string? (v) State the law of conservation of angular momentum and illustrate it with the example of planetary motion. (vi) A cat is able to land on its feet after a fall. Why?

Two discs of moments of inertia I_(1) and I_(2) about their respective axes (normal to the disc and passing through the centre) and rotating with angular speeds omega_(1) and omega_(2) are brought into contact face to face with their axes of rotation coincident. (a) Does the law of conservation of angular momentum apply to the situation ? Why ? (b) Find the angular speed of the two-disc system. (c ) Calculate the loss in kinetic energy of the system in the process. (d) Account for this loss.

Knowledge Check

  • In each of the following questions a statement of Assertion is given followed by a corresponding statements, of Reason just below it of the statements, mark the correct answer as. Assertion (A) Law of areas can be understood as a consequence of conservation of angular momentum. Reason (R) Conservation of angular momentum is valid for any central force and gravitation is a central force.

    A
    Both Assertion and Reason are correct and Reason Is the correct explanation of the Assertion
    B
    Both Assertion and Reason are correct but Reason Is not the correct explanation of Assertion
    C
    Assertion Is correct but Reason Is Incorrect
    D
    Reason Is correct but Assertion Is Incorrect

  • According to the principle of conservation of angular momentum, if moment of inertia of a rotating body decreases, then its angular velocity

    A
    decreases
    B
    increases
    C
    remains constant
    D
    becomes zero

  • Assertion : In keplar's law conservation of angular momentum does not take place. Reason : Gravitation force acting between earth and the sun is perpendicular to line joining them.

    A
    Both Assertion & Reason are true & the Reason is a correct explanation of the Assertion.
    B
    Both Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
    C
    Assertion is true but the Reason is false.
    D
    Assertion & Reason are false

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    Torgue and angular momentum relation, Application of conservation of angular momentum.

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    Assertion: Kepler's second law can be understood by conservation of angular momentum principle. Reason: Kepler's second law is related with areal velocity which can further be proved to be used on coservation of angular momentum as (dA//dt)=(r^(2)omega)//2 .

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