Class 11 Exam > Class 11 Questions > If the sign in equation F = -kx is changed wh...
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If the sign in equation F = -kx is changed what would happen to the motion of the oscillating body?
- a)Motion would be linearly accelerated motion
- b)Body would come at rest
- c)Body would slow down
- d)Motion would be oscillating accelerated
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If the sign in equation F = -kx is changed what would happen to the mo...
If the sign is changed in F=-kx then the force and hence acceleration will not be opposite to the displacement. Due to this the particle will not oscillate and would accelerate in the direction of displacement. Hence the motion of the body will become linearly accelerated motion.
Most Upvoted Answer
If the sign in equation F = -kx is changed what would happen to the mo...
Hii look... according to me F=-kx represents that the force is applied opposite to the directionof motion or so called displacement but if we change its sign we get F=kx and that means force is applied in the same direction as of displacememt so acc would be positive and the motion will become linearly accelarated motion.... Hope u get that
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Community Answer
If the sign in equation F = -kx is changed what would happen to the mo...
The given equation F = -kx represents Hooke's Law, which describes the force exerted by a spring when it is stretched or compressed. In this equation, F represents the force, k represents the spring constant, and x represents the displacement from the equilibrium position.
When the sign in the equation is changed, i.e., if the equation becomes F = kx, the motion of the oscillating body would change. Let's understand how this change affects the motion of the body.
Explanation:
1. Understanding Hooke's Law:
- Hooke's Law states that the force exerted by a spring is directly proportional to the displacement from the equilibrium position.
- If the displacement is positive, the force will be negative, and if the displacement is negative, the force will be positive.
- This indicates that the force acts in the opposite direction to the displacement.
2. Change in Sign in the Equation:
- When the sign in the equation F = -kx is changed to F = kx, the force and displacement become aligned in the same direction.
- This means that the force now acts in the same direction as the displacement.
3. Effect on Motion:
- The change in sign in the equation F = kx implies that the force acting on the oscillating body is in the same direction as its displacement.
- As a result, the body experiences linearly accelerated motion.
- This means that the body will continue to accelerate in the same direction, without any oscillation or change in direction.
4. Comparison with Original Equation:
- In the original equation F = -kx, the negative sign indicates that the force is always opposing the displacement.
- This leads to oscillatory motion, as the body is constantly pulled back towards the equilibrium position.
- However, when the sign is changed to F = kx, the force acts in the same direction as the displacement, causing linear acceleration.
Therefore, the correct answer is option 'A' - the motion of the oscillating body would be linearly accelerated motion when the sign in the equation F = -kx is changed to F = kx.
When the sign in the equation is changed, i.e., if the equation becomes F = kx, the motion of the oscillating body would change. Let's understand how this change affects the motion of the body.
Explanation:
1. Understanding Hooke's Law:
- Hooke's Law states that the force exerted by a spring is directly proportional to the displacement from the equilibrium position.
- If the displacement is positive, the force will be negative, and if the displacement is negative, the force will be positive.
- This indicates that the force acts in the opposite direction to the displacement.
2. Change in Sign in the Equation:
- When the sign in the equation F = -kx is changed to F = kx, the force and displacement become aligned in the same direction.
- This means that the force now acts in the same direction as the displacement.
3. Effect on Motion:
- The change in sign in the equation F = kx implies that the force acting on the oscillating body is in the same direction as its displacement.
- As a result, the body experiences linearly accelerated motion.
- This means that the body will continue to accelerate in the same direction, without any oscillation or change in direction.
4. Comparison with Original Equation:
- In the original equation F = -kx, the negative sign indicates that the force is always opposing the displacement.
- This leads to oscillatory motion, as the body is constantly pulled back towards the equilibrium position.
- However, when the sign is changed to F = kx, the force acts in the same direction as the displacement, causing linear acceleration.
Therefore, the correct answer is option 'A' - the motion of the oscillating body would be linearly accelerated motion when the sign in the equation F = -kx is changed to F = kx.
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If the sign in equation F = -kx is changed what would happen to the motion of the oscillating body?a)Motion would be linearly accelerated motionb)Body would come at restc)Body would slow downd)Motion would be oscillating acceleratedCorrect answer is option 'A'. Can you explain this answer?
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If the sign in equation F = -kx is changed what would happen to the motion of the oscillating body?a)Motion would be linearly accelerated motionb)Body would come at restc)Body would slow downd)Motion would be oscillating acceleratedCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If the sign in equation F = -kx is changed what would happen to the motion of the oscillating body?a)Motion would be linearly accelerated motionb)Body would come at restc)Body would slow downd)Motion would be oscillating acceleratedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sign in equation F = -kx is changed what would happen to the motion of the oscillating body?a)Motion would be linearly accelerated motionb)Body would come at restc)Body would slow downd)Motion would be oscillating acceleratedCorrect answer is option 'A'. Can you explain this answer?.
If the sign in equation F = -kx is changed what would happen to the motion of the oscillating body?a)Motion would be linearly accelerated motionb)Body would come at restc)Body would slow downd)Motion would be oscillating acceleratedCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If the sign in equation F = -kx is changed what would happen to the motion of the oscillating body?a)Motion would be linearly accelerated motionb)Body would come at restc)Body would slow downd)Motion would be oscillating acceleratedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sign in equation F = -kx is changed what would happen to the motion of the oscillating body?a)Motion would be linearly accelerated motionb)Body would come at restc)Body would slow downd)Motion would be oscillating acceleratedCorrect answer is option 'A'. Can you explain this answer?.
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