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IIT JEE Advanced 2012 Paper 1
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© examsnet.com
Question : 2
Total: 60
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 xy-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
→
L
O
and
→
L
P
, respectively, then
→
L
O
and
→
L
P
do not vary with time.
→
L
O
varies with time while
→
L
P
remains constant.
→
L
O
remains constant while
→
L
P
varies with time.
→
L
O
and
→
L
P
both vary with time.
Validate
Solution:
From the following figures, the angular momentum of the particle at the centre O is vertical.
At a given instant, the angular momentum
→
L
P
is as shown in the following figure:
As shown in the following figure,
→
L
O
is constant and
→
L
P
changes in direction.
© examsnet.com
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