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If particle stays at rest as seen from a...

If particle stays at rest as seen from a frame of reference

A

the frame may be inertial and a resultant force acts on it.

B

the frame may be non inertial and `F_("real") =- F_("pseudo")`

C

the frame may be non inertial but a resultant force acts on it

D

the frame must always be inertial

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, "If a particle stays at rest as seen from a frame of reference, then which option is correct?", we need to analyze the conditions under which a particle can appear to be at rest from different frames of reference. ### Step-by-Step Solution: 1. **Understanding Frames of Reference**: - A frame of reference can be classified as either inertial or non-inertial. - An inertial frame is one where Newton's laws of motion hold true, meaning that an object at rest stays at rest unless acted upon by a net external force. 2. **Condition in Inertial Frame**: - If the frame of reference is inertial, a particle will appear to be at rest if the resultant force acting on it is zero. This means that the particle is either not moving or is in equilibrium (no net force acting on it). 3. **Condition in Non-Inertial Frame**: - If the frame of reference is non-inertial (for example, an accelerating frame), a particle can still appear to be at rest if there is a resultant force acting on it that is equal and opposite to the pseudo force due to the acceleration of the frame. In this case, the particle can be accelerating along with the frame. 4. **Conclusion**: - Therefore, the correct answer is that a particle can be seen at rest in both inertial and non-inertial frames, but the conditions differ: - In an inertial frame: Resultant force = 0. - In a non-inertial frame: Resultant force = pseudo force (due to the frame's acceleration). ### Final Answer: The correct option is that the particle can be at rest in both inertial and non-inertial frames, with the conditions specified above.
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