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The rotation of earth about its axis is...

The rotation of earth about its axis is

A

periodic motion

B

simple harmonic motion

C

periodic but not simple harmonic motion

D

non-periodic motion

Text Solution

Verified by Experts

The correct Answer is:
A, C
The rotatino of earth about its polar axis is repeated identically after a definite time (i.e., 24 hours) But it is not to and fro about a fixed point. Hence the rotation of earth about its polar axis is periodic but not SHM.
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Which of the following examples examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion? (a) The rotation of earth about its axis. (b) Motion of an oscillating mercury column in a U tube, (c) Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower most position. (d) General vibrations of a polyatomic molecule about its equilibrium position.

The rotation of the earth about its axis is periodic but not simple harmonic. Justify.

Knowledge Check

  • If the speed of rotation of earth about its axis is increased,

    A
    weight of a body at the equator decreases
    B
    weight of a body at the poles does not change
    C
    both 'a' and 'b'
    D
    neither 'a' nor 'b'

  • Find the duration of the day if the rotation of earth about its axis speeds up in such a way that a person on the equator feels weightlessness.

    A
    `2pi sqrt((R^(2))/(g^(3)))`
    B
    `(1)/(2pi) sqrt((R )/(g))`
    C
    `2pisqrt((R )/(g))`
    D
    `(1)/(2pi)sqrt((R )/(g^(3)))`

  • Statement-I: If the earth expands in size without any change in mas, the length of the day would increase. statement-II: The rotation of earth about its axis follows the law of conservation of angular momentum.

    A
    If both Statement-I and Statement-II are true, and Statement - II is the correct explanation of Statement– I.
    B
    If both Statement-I and Statement-II are true but Statement - II is not the correct explanation of Statement – I.
    C
    If Statement-I is true but Statement-II is false.
    D
    If Statement-I is false but Statement-II is true.

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    Assertion : If rotation of earth about its own axis is suddenly stops then acceleration due to gravity will increase at all places on the earth. Reason : At height h from the surface of earth acceleration due to gravity is g_(h)=g(1- (2h)/R_(e)) .

    Assertion : The rotation of the earth about its axis is a S.H.M. Reason : The earth completes each roation about its axis in 24 hours while orbiting around earth.

    The rotation of the earth about its axis speeds up such that a man on the equator becomes weightless. In such a situation, what would be the duration of one day ?

    The rotation of the earth about its axis speeds up such that a man on the equator becomes weightness. In such a situation, what would be the duration of one day ?

    If the speed of rotation of earth about its axis increases, then the weight of the body at the equator will

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