A particle is observed from two frames $S_{1} a n d S_{2}$ . The frame $S_{2}$ moves with respect to $S_{1}$ with an acceleration a. Let $F_{1} a n d F_{2}$ be the pseudo forces on the particle when seen from $S_{1} a n d S_{2}$ respectively. Which of the following are not possible?

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Solution

The correct option is D

Let us assume there a two frames $S_{1} a n d S_{2}$ moving with acceleration $a_{1} a n d a_{2}$ . Now we know (a1−a2) = a as relative acceleration is a.

Now, magnitude of pseudo forces $F_{1} a n d F_{2}$ will be ma₁ and ma₂ irrespective of where the object is.

$F_{1} = m a_{1}$ , $F_{2} = m a_{2}$

when $a_{1} = 0, t h e n F_{1} = 0, F_{2} \neq 0$

$a_{2} = 0, t h e n F_{1} \neq 0, F_{2} = 0$

$w h e n, a_{1} \neq 0, a_{2} \neq 0 t h e n, F_{1} \neq 0, F_{2} \neq 0$

but it is impossible for both $F_{1} = 0 a n d F_{2} = 0$ as for this to happen, $a_{1} = 0 a n d a_{2} = 0$ which is not the case as there is relative acceleration.

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A particle is observed from two frames S1 and S2. The frame S2 moves with respect to S1 with 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?

A particle is observed from two frames $S_{1} a n d S_{2}$ . The frame $S_{2}$ moves with respect to $S_{1}$ with an acceleration a. Let $F_{1} a n d F_{2}$ be the pseudo forces on the particle when seen from $S_{1} a n d S_{2}$ respectively. Which of the following are not possible?