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Byju's Answer

Standard XIII

Physics

Angular Analogue of Linear Momentum

A small mass ...

Question

A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the x-y plane with centre at O and constant angular speed $ω .$ If the angular momentum of the system, calculated about O and P are denoted by ${\to L}_{O} a n d {\to L}_{P}$ respectively, then

{\to L}_{O} a n d {\to L}_{P}

do not vary with time.

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{\to L}_{O}

varies with time while

{\to L}_{P}

remains constant.

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{\to L}_{O}

remains constant while

{\to L}_{P}

varies with time.

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{\to L}_{O} a n d {\to L}_{P}

both vary with time.

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Solution

The correct option is C ${\to L}_{O}$ remains constant while ${\to L}_{P}$ varies with time.

Magnitude and direction of ${\to L}_{0}$ remain constant.
Magnitude of ${\to L}_{p}$ remains constant but direction of ${\to L}_{p}$ change.

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Q. A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the x-y plane with centre at O and constant angular speed

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{\to L}_{O} a n d {\to L}_{P}

respectively, then

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The correct option is C →LO remains constant while →LP varies with time. Magnitude and direction of →L0 remain constant. Magnitude of →Lp remains constant but direction of →Lp change.

The correct option is C ${\to L}_{O}$ remains constant while ${\to L}_{P}$ varies with time.

Magnitude and direction of ${\to L}_{0}$ remain constant.
Magnitude of ${\to L}_{p}$ remains constant but direction of ${\to L}_{p}$ change.