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

Answer 1

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.