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Physics-

General

Easy

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 $x minus y$ plane with centre at $O$ and constant angular speed $omega$ . If the angular momentum of the system, calculated about $O blank$ and $P$ are denoted by $stack L with rightwards arrow on top subscript O end subscript$ and $stack L with rightwards arrow on top subscript P end subscript$ respectively, then

${\vec{L}}_{O}$ and ${\vec{L}}_{P}$ do not vary with time
${\vec{L}}_{O}$ varies with time while ${\vec{L}}_{P}$ remains constant
${\vec{L}}_{O}$ remains constant while ${\vec{L}}_{P}$ varies with time
${\vec{L}}_{O}$ and ${\vec{L}}_{P}$ both vary with time

The correct answer is: $stack L with rightwards arrow on top subscript O end subscript$ remains constant while $stack L with rightwards arrow on top subscript P end subscript$ varies with time

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$Lt subscript x not stretchy rightwards arrow 0 end subscript open parentheses 1 plus fraction numerator 2 x over denominator 3 end fraction close parentheses to the power of 1 over x end exponent$

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parallel

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