Question
A particle is observed from two frames S1 and. S2. The frame Smoves with respect to Swith 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 are not possible?
  1. F1 = 0, F2 ≠ 0
  2. F1 ≠ 0, F2 = 0
  3. F1 ≠ 0, F2 ≠ 0
  4. F= 0, F= 0

Answer

  1. F= 0, F= 0

Explanation:

$\text{a}_{\text{s}_1\text{s}_2}=\text{a} \ ...(1) $

Acceleration of the particle w.r.t. to $\text{S}_1=\frac{\text{F}_1}{\text{m}}$

Acceleration of the particle w.r.t. to $\text{S}_2=\frac{\text{F}_2}{\text{m}}$

If we assume F1 = 0 and F2 = 0,

we can conclude that $\text{a}_{\text{s}_2\text{s}_1}=0 \ ...(2)$

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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