Question 677: Centre of Mass and Rotational Motion

Question

A particle of mass m moves in the XY plane with a velocity v along the straight line AB. If the angular momentum of the particle with  respect to origin  O is L
A
when it is at A and L
B
when  it is at B, then
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Accepted Answer

Angular momentum = Linear momentum ÃÂ
perpendicular distance between line of action of
liner momentum from origin
Let d be the perpendicular distance.
p
A
and p
B
be the linear momentum at A and B
Angular momentum L
A
= p
A
ÃÂ d
L
B
= p
B
ÃÂ d
So, linear momentum will be equal, i.e., L
A
= L
B
.here,
p
A
and p
B
are equal as have equal velocity.
L
A
= L
B

Answer

L
A
= L
B

Answer

the relationship between  L
A
and L
B
depends upon  the slope of the line AB

Answer

L
A
< L
B

Answer

L
A
> L
B
.

Centre of Mass and Rotational Motion

A particle of mass m moves in the XY plane with a velocity v along the straight line AB. If the angular momentum of the particle with respect to origin O is L A when it is at A and L B when it is at B, then

Choose the correct answer: