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A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?
- a)You can find two points in the body in a plane perpendicular to the axis of rotation having same acceleration
- b)Angular speed of the body is same as seen from any point in the body
- c)You can find two points in the body in a plane perpendicular to the axis of rotation having same velocity
- d)Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.
Correct answer is option 'B,D'. Can you explain this answer?
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Verified Answer
A rigid body is in pure rotation, that is, undergoing fixed axis rotat...
All points in the body in plane perpendicular to the axis of rotation revolve in concentric circles. All points lying on circle of same radius have same speed (and also same magnitude of acceleration) but different directions of velocity (also different directions of acceleration)
Hence there cannot be two points in the given plane with same velocity or with same acceleration.
As mentioned above, points lying on circle of same radius have same speed.
Angular speed of body at any instant w.r.t. any point on body is same by definition.
The correct answers are: Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same., Angular speed of the body is same as seen from any point in the body
Most Upvoted Answer
A rigid body is in pure rotation, that is, undergoing fixed axis rotat...
Explanation:
Statement a: You can find two points in the body in a plane perpendicular to the axis of rotation having the same acceleration.
This statement is false. In pure rotation, all points in the body have the same angular acceleration, but the linear acceleration of a point depends on its distance from the axis of rotation. Therefore, two points in a plane perpendicular to the axis of rotation will generally have different linear accelerations.
Statement b: Angular speed of the body is the same as seen from any point in the body.
This statement is true. In pure rotation, all points in the body have the same angular speed because they are all rotating about the same axis. The angular speed is the rate at which the body rotates, and it is independent of the location of the observer within the body.
Statement c: You can find two points in the body in a plane perpendicular to the axis of rotation having the same velocity.
This statement is false. Similar to statement a, the linear velocity of a point depends on its distance from the axis of rotation. Therefore, two points in a plane perpendicular to the axis of rotation will generally have different linear velocities.
Statement d: Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is the same.
This statement is true. In pure rotation, all points on the curved surface of a cylinder (or any other rigid body) that is rotating about its axis have the same linear speed. This is because all points on the curved surface are at the same distance from the axis of rotation, and therefore they all have the same linear velocity.
To summarize, statements b and d are true. The angular speed of the body is the same as seen from any point in the body, and the speed of all particles lying on the curved surface of a cylinder (or any other rigid body) whose axis coincides with the axis of rotation is the same. Statements a and c are false because the acceleration and velocity of points in a plane perpendicular to the axis of rotation depend on their distance from the axis.
Statement a: You can find two points in the body in a plane perpendicular to the axis of rotation having the same acceleration.
This statement is false. In pure rotation, all points in the body have the same angular acceleration, but the linear acceleration of a point depends on its distance from the axis of rotation. Therefore, two points in a plane perpendicular to the axis of rotation will generally have different linear accelerations.
Statement b: Angular speed of the body is the same as seen from any point in the body.
This statement is true. In pure rotation, all points in the body have the same angular speed because they are all rotating about the same axis. The angular speed is the rate at which the body rotates, and it is independent of the location of the observer within the body.
Statement c: You can find two points in the body in a plane perpendicular to the axis of rotation having the same velocity.
This statement is false. Similar to statement a, the linear velocity of a point depends on its distance from the axis of rotation. Therefore, two points in a plane perpendicular to the axis of rotation will generally have different linear velocities.
Statement d: Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is the same.
This statement is true. In pure rotation, all points on the curved surface of a cylinder (or any other rigid body) that is rotating about its axis have the same linear speed. This is because all points on the curved surface are at the same distance from the axis of rotation, and therefore they all have the same linear velocity.
To summarize, statements b and d are true. The angular speed of the body is the same as seen from any point in the body, and the speed of all particles lying on the curved surface of a cylinder (or any other rigid body) whose axis coincides with the axis of rotation is the same. Statements a and c are false because the acceleration and velocity of points in a plane perpendicular to the axis of rotation depend on their distance from the axis.
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A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?a)You can find two points in the body in a plane perpendicular to the axis of rotation having same accelerationb)Angular speed of the body is same as seen from any point in the bodyc)You can find two points in the body in a plane perpendicular to the axis of rotation having same velocityd)Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.Correct answer is option 'B,D'. Can you explain this answer?
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A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?a)You can find two points in the body in a plane perpendicular to the axis of rotation having same accelerationb)Angular speed of the body is same as seen from any point in the bodyc)You can find two points in the body in a plane perpendicular to the axis of rotation having same velocityd)Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.Correct answer is option 'B,D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?a)You can find two points in the body in a plane perpendicular to the axis of rotation having same accelerationb)Angular speed of the body is same as seen from any point in the bodyc)You can find two points in the body in a plane perpendicular to the axis of rotation having same velocityd)Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.Correct answer is option 'B,D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?a)You can find two points in the body in a plane perpendicular to the axis of rotation having same accelerationb)Angular speed of the body is same as seen from any point in the bodyc)You can find two points in the body in a plane perpendicular to the axis of rotation having same velocityd)Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.Correct answer is option 'B,D'. Can you explain this answer?.
A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?a)You can find two points in the body in a plane perpendicular to the axis of rotation having same accelerationb)Angular speed of the body is same as seen from any point in the bodyc)You can find two points in the body in a plane perpendicular to the axis of rotation having same velocityd)Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.Correct answer is option 'B,D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?a)You can find two points in the body in a plane perpendicular to the axis of rotation having same accelerationb)Angular speed of the body is same as seen from any point in the bodyc)You can find two points in the body in a plane perpendicular to the axis of rotation having same velocityd)Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.Correct answer is option 'B,D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?a)You can find two points in the body in a plane perpendicular to the axis of rotation having same accelerationb)Angular speed of the body is same as seen from any point in the bodyc)You can find two points in the body in a plane perpendicular to the axis of rotation having same velocityd)Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.Correct answer is option 'B,D'. Can you explain this answer?.
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A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?a)You can find two points in the body in a plane perpendicular to the axis of rotation having same accelerationb)Angular speed of the body is same as seen from any point in the bodyc)You can find two points in the body in a plane perpendicular to the axis of rotation having same velocityd)Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.Correct answer is option 'B,D'. Can you explain this answer?, a detailed solution for A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?a)You can find two points in the body in a plane perpendicular to the axis of rotation having same accelerationb)Angular speed of the body is same as seen from any point in the bodyc)You can find two points in the body in a plane perpendicular to the axis of rotation having same velocityd)Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.Correct answer is option 'B,D'. Can you explain this answer? has been provided alongside types of A rigid body is in pure rotation, that is, undergoing fixed axis rotation. Then which of the following statement(s) are true?a)You can find two points in the body in a plane perpendicular to the axis of rotation having same accelerationb)Angular speed of the body is same as seen from any point in the bodyc)You can find two points in the body in a plane perpendicular to the axis of rotation having same velocityd)Speed of all the particles lying on the curved surface of a cylinder whose axis coincides with the axis of rotation is same.Correct answer is option 'B,D'. Can you explain this answer? theory, EduRev gives you an
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