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Two forces F1 and F2 are acting on a particle. The particle will remain at rest if two forces are
- a)Opposite
- b)Equal and Opposite
- c)Unequal and in same direction
- d)Equal
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two forces F1and F2are acting on a particle. The particle will remain ...
For an object at rest to be at rest, no net acceleration must act upon it, which implies no net force. Thus the two forces need to nullify each other, which is only possible if both are equal but opposite.
Most Upvoted Answer
Two forces F1and F2are acting on a particle. The particle will remain ...
The particle will remain at rest if two forces are equal and opposite.
Explanation:
When a particle is at rest, it means that the net force acting on it is zero. In other words, the vector sum of all the forces acting on the particle is zero. If two forces are acting on a particle, we can represent them as vectors F1 and F2.
If the particle is at rest, the two forces must cancel each other out, resulting in a net force of zero. This can only happen if the two forces are equal in magnitude and opposite in direction.
Mathematically,
If F1 and F2 are the two forces acting on the particle, the condition for the particle to remain at rest is:
F1 + F2 = 0
Since the forces are vectors, this equation means that the magnitudes of the two forces must be equal and their directions must be opposite.
Example:
Let's consider a simple example to understand this concept. Suppose a book is placed on a table and two people are pushing it in opposite directions with equal force. The force exerted by the first person is F1 and the force exerted by the second person is F2.
If both forces have the same magnitude and opposite directions, the net force on the book will be:
F1 + F2 = 0
Since the net force is zero, the book will remain at rest on the table. If either of the forces is larger or if the forces have the same direction, the net force will not be zero, and the book will start moving.
In conclusion,
For a particle to remain at rest, the two forces acting on it must be equal in magnitude and opposite in direction. This condition ensures that the net force on the particle is zero, resulting in no motion.
Explanation:
When a particle is at rest, it means that the net force acting on it is zero. In other words, the vector sum of all the forces acting on the particle is zero. If two forces are acting on a particle, we can represent them as vectors F1 and F2.
If the particle is at rest, the two forces must cancel each other out, resulting in a net force of zero. This can only happen if the two forces are equal in magnitude and opposite in direction.
Mathematically,
If F1 and F2 are the two forces acting on the particle, the condition for the particle to remain at rest is:
F1 + F2 = 0
Since the forces are vectors, this equation means that the magnitudes of the two forces must be equal and their directions must be opposite.
Example:
Let's consider a simple example to understand this concept. Suppose a book is placed on a table and two people are pushing it in opposite directions with equal force. The force exerted by the first person is F1 and the force exerted by the second person is F2.
If both forces have the same magnitude and opposite directions, the net force on the book will be:
F1 + F2 = 0
Since the net force is zero, the book will remain at rest on the table. If either of the forces is larger or if the forces have the same direction, the net force will not be zero, and the book will start moving.
In conclusion,
For a particle to remain at rest, the two forces acting on it must be equal in magnitude and opposite in direction. This condition ensures that the net force on the particle is zero, resulting in no motion.
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Two forces F1and F2are acting on a particle. The particle will remain ...
B is the correct answer
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Two forces F1and F2are acting on a particle. The particle will remain at rest if two forces area)Oppositeb)Equal and Oppositec)Unequal and in same directiond)EqualCorrect answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two forces F1and F2are acting on a particle. The particle will remain at rest if two forces area)Oppositeb)Equal and Oppositec)Unequal and in same directiond)EqualCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two forces F1and F2are acting on a particle. The particle will remain at rest if two forces area)Oppositeb)Equal and Oppositec)Unequal and in same directiond)EqualCorrect answer is option 'B'. Can you explain this answer?.
Two forces F1and F2are acting on a particle. The particle will remain at rest if two forces area)Oppositeb)Equal and Oppositec)Unequal and in same directiond)EqualCorrect answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two forces F1and F2are acting on a particle. The particle will remain at rest if two forces area)Oppositeb)Equal and Oppositec)Unequal and in same directiond)EqualCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two forces F1and F2are acting on a particle. The particle will remain at rest if two forces area)Oppositeb)Equal and Oppositec)Unequal and in same directiond)EqualCorrect answer is option 'B'. Can you explain this answer?.
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