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A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis is
- a)vertical
- b)horizontal and skew with the axis
- c)horizontal and intersecting the axis
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A body is rotating uniformly about a vertical axis fixed in an inertia...
Since the axis is vertical, the force will be horizontal and since it is centripetal force it will intersect the axis.
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A body is rotating uniformly about a vertical axis fixed in an inertia...
Resultant Force on a Particle Rotating Uniformly about a Vertical Axis
Introduction:
When a body rotates uniformly about a vertical axis fixed in an inertial frame, the particles of the body experience a centrifugal force and a centripetal force. The resultant force on a particle not on the axis depends on the centripetal force and the direction in which it is acting.
Centripetal Force:
The centripetal force is the force that acts towards the center of the circular path and keeps the particle in its orbit. In the case of a rotating body, the centripetal force is directed towards the axis of rotation.
Centrifugal Force:
The centrifugal force is an apparent force that acts on a rotating body and is directed away from the axis of rotation. It is a reaction force to the centripetal force, and its magnitude is equal and opposite to the centripetal force.
Resultant Force:
The resultant force on a particle not on the axis can be determined by considering the components of the centripetal force in the horizontal and vertical directions.
Vertical Component:
The vertical component of the centripetal force is responsible for balancing the gravitational force acting on the particle. Therefore, the vertical component of the resultant force is equal to the weight of the particle. This force acts vertically downwards or upwards, depending on the direction of the weight.
Horizontal Component:
The horizontal component of the centripetal force is responsible for providing the necessary inward force to keep the particle in its circular path. This force acts horizontally and towards the axis of rotation. Therefore, the horizontal component of the resultant force is directed towards the axis of rotation.
Conclusion:
In conclusion, the resultant force on a particle of a body rotating uniformly about a vertical axis fixed in an inertial frame has a vertical component equal to the weight of the particle and a horizontal component directed towards the axis of rotation. Therefore, the correct option is c) horizontal and intersecting the axis.
Introduction:
When a body rotates uniformly about a vertical axis fixed in an inertial frame, the particles of the body experience a centrifugal force and a centripetal force. The resultant force on a particle not on the axis depends on the centripetal force and the direction in which it is acting.
Centripetal Force:
The centripetal force is the force that acts towards the center of the circular path and keeps the particle in its orbit. In the case of a rotating body, the centripetal force is directed towards the axis of rotation.
Centrifugal Force:
The centrifugal force is an apparent force that acts on a rotating body and is directed away from the axis of rotation. It is a reaction force to the centripetal force, and its magnitude is equal and opposite to the centripetal force.
Resultant Force:
The resultant force on a particle not on the axis can be determined by considering the components of the centripetal force in the horizontal and vertical directions.
Vertical Component:
The vertical component of the centripetal force is responsible for balancing the gravitational force acting on the particle. Therefore, the vertical component of the resultant force is equal to the weight of the particle. This force acts vertically downwards or upwards, depending on the direction of the weight.
Horizontal Component:
The horizontal component of the centripetal force is responsible for providing the necessary inward force to keep the particle in its circular path. This force acts horizontally and towards the axis of rotation. Therefore, the horizontal component of the resultant force is directed towards the axis of rotation.
Conclusion:
In conclusion, the resultant force on a particle of a body rotating uniformly about a vertical axis fixed in an inertial frame has a vertical component equal to the weight of the particle and a horizontal component directed towards the axis of rotation. Therefore, the correct option is c) horizontal and intersecting the axis.
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A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis isa)verticalb)horizontal and skew with the axisc)horizontal and intersecting the axisd)none of theseCorrect answer is option 'C'. 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 A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis isa)verticalb)horizontal and skew with the axisc)horizontal and intersecting the axisd)none of theseCorrect answer is option 'C'. 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 A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis isa)verticalb)horizontal and skew with the axisc)horizontal and intersecting the axisd)none of theseCorrect answer is option 'C'. Can you explain this answer?.
A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis isa)verticalb)horizontal and skew with the axisc)horizontal and intersecting the axisd)none of theseCorrect answer is option 'C'. 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 A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis isa)verticalb)horizontal and skew with the axisc)horizontal and intersecting the axisd)none of theseCorrect answer is option 'C'. 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 A body is rotating uniformly about a vertical axis fixed in an inertial frame. The resultant force on a particle of the body not on the axis isa)verticalb)horizontal and skew with the axisc)horizontal and intersecting the axisd)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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