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Question
A particle is observed from two frames S1 and S2. Frame S2 moves with respect to S1with an acceleration a. Let F1 and F2 be the pseudo forces on the particle when seen from S1 and S2, respectively. Which of the following is not possible?
Options
F1 = 0, F2 ≠ 0
F1 ≠ 0, F2 = 0
F1 ≠ 0, F2 ≠ 0
F1 = 0, F2 = 0
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Solution
F1 = 0, F2 = 0
\[a_{s_2 s_1} = a . . . \left( 1 \right)\]
Acceleration of the particle w.r.t. to S1 = F1/m
Acceleration of the particle w.r.t. to S2 = F2/m
If we assume F1 = 0 and F2 = 0,
we can conclude that
\[a_{s_2 s_1} = 0 . . . \left( 2 \right)\]
From equations (1) and (2), we can say that our assumption is wrong.
And F1 = 0, F2 = 0 is not possible.
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