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A uniform rod AC of length ℓ and mass m is kept on a horizontal smooth plane. It is free to rotate and move. A particle of same mass m moving on the plane with velocity v strikes the rod at point B making and angle 37° with the rod. The collision is elastic. After collision :
  • a)
    The angular velocity of the rod will be 72v/55ℓ
  • b)
    The centre of the rod will travel a distance πv/ℓ in the time in which it makes half rotation
  • c)
    Impulse of the impact force is 24mv/55
  • d)
    None of these
Correct answer is option 'A,B,C'. Can you explain this answer?
Verified Answer
A uniform rodACof lengthand massmis kept on a horizontal smooth plane....
The ball has v', component of its velocity perpendicular to the length of rod immediately after the collision. u is velocity of COM of the rod and is angular velocity of the rod, just after collision. The ball strikes the rod with speed v cos 53° in perpendicular direction and its component along the length of the rod after the collision is unchanged
using for the point of collision.
Velocity of separation = Velocity of approach
Conserving linear momentum (of rod + particle), in the direction ⊥ to the rod.
Conserving angular moment about point ‘D’ as shown in the figure
In the same time, distance travelled 
Using angular impulse-angular momentum equation.
The correct answers are: The angular velocity of the rod will be  The centre of the rod will travel a distance  in the time in which it makes half rotation, Impulse of the impact force is 
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Most Upvoted Answer
A uniform rodACof lengthand massmis kept on a horizontal smooth plane....
The ball has v', component of its velocity perpendicular to the length of rod immediately after the collision. u is velocity of COM of the rod and is angular velocity of the rod, just after collision. The ball strikes the rod with speed v cos 53° in perpendicular direction and its component along the length of the rod after the collision is unchanged
using for the point of collision.
Velocity of separation = Velocity of approach
Conserving linear momentum (of rod + particle), in the direction ⊥ to the rod.
Conserving angular moment about point ‘D’ as shown in the figure
In the same time, distance travelled 
Using angular impulse-angular momentum equation.
The correct answers are: The angular velocity of the rod will be  The centre of the rod will travel a distance  in the time in which it makes half rotation, Impulse of the impact force is 
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A uniform rodACof lengthand massmis kept on a horizontal smooth plane. It is free to rotate and move. A particle of same massmmoving on the plane with velocityvstrikes the rod at pointBmaking and angle 37° with the rod. The collision is elastic. After collision :a)The angular velocity of the rod will be 72v/55b)The centre of the rod will travel a distanceπv/in the time in which it makes half rotationc)Impulse of the impact force is 24mv/55d)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer?
Question Description
A uniform rodACof lengthand massmis kept on a horizontal smooth plane. It is free to rotate and move. A particle of same massmmoving on the plane with velocityvstrikes the rod at pointBmaking and angle 37° with the rod. The collision is elastic. After collision :a)The angular velocity of the rod will be 72v/55b)The centre of the rod will travel a distanceπv/in the time in which it makes half rotationc)Impulse of the impact force is 24mv/55d)None of theseCorrect answer is option 'A,B,C'. 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 uniform rodACof lengthand massmis kept on a horizontal smooth plane. It is free to rotate and move. A particle of same massmmoving on the plane with velocityvstrikes the rod at pointBmaking and angle 37° with the rod. The collision is elastic. After collision :a)The angular velocity of the rod will be 72v/55b)The centre of the rod will travel a distanceπv/in the time in which it makes half rotationc)Impulse of the impact force is 24mv/55d)None of theseCorrect answer is option 'A,B,C'. 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 uniform rodACof lengthand massmis kept on a horizontal smooth plane. It is free to rotate and move. A particle of same massmmoving on the plane with velocityvstrikes the rod at pointBmaking and angle 37° with the rod. The collision is elastic. After collision :a)The angular velocity of the rod will be 72v/55b)The centre of the rod will travel a distanceπv/in the time in which it makes half rotationc)Impulse of the impact force is 24mv/55d)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer?.
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Here you can find the meaning of A uniform rodACof lengthand massmis kept on a horizontal smooth plane. It is free to rotate and move. A particle of same massmmoving on the plane with velocityvstrikes the rod at pointBmaking and angle 37° with the rod. The collision is elastic. After collision :a)The angular velocity of the rod will be 72v/55b)The centre of the rod will travel a distanceπv/in the time in which it makes half rotationc)Impulse of the impact force is 24mv/55d)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A uniform rodACof lengthand massmis kept on a horizontal smooth plane. It is free to rotate and move. A particle of same massmmoving on the plane with velocityvstrikes the rod at pointBmaking and angle 37° with the rod. The collision is elastic. After collision :a)The angular velocity of the rod will be 72v/55b)The centre of the rod will travel a distanceπv/in the time in which it makes half rotationc)Impulse of the impact force is 24mv/55d)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer?, a detailed solution for A uniform rodACof lengthand massmis kept on a horizontal smooth plane. It is free to rotate and move. A particle of same massmmoving on the plane with velocityvstrikes the rod at pointBmaking and angle 37° with the rod. The collision is elastic. After collision :a)The angular velocity of the rod will be 72v/55b)The centre of the rod will travel a distanceπv/in the time in which it makes half rotationc)Impulse of the impact force is 24mv/55d)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? has been provided alongside types of A uniform rodACof lengthand massmis kept on a horizontal smooth plane. It is free to rotate and move. A particle of same massmmoving on the plane with velocityvstrikes the rod at pointBmaking and angle 37° with the rod. The collision is elastic. After collision :a)The angular velocity of the rod will be 72v/55b)The centre of the rod will travel a distanceπv/in the time in which it makes half rotationc)Impulse of the impact force is 24mv/55d)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A uniform rodACof lengthand massmis kept on a horizontal smooth plane. It is free to rotate and move. A particle of same massmmoving on the plane with velocityvstrikes the rod at pointBmaking and angle 37° with the rod. The collision is elastic. After collision :a)The angular velocity of the rod will be 72v/55b)The centre of the rod will travel a distanceπv/in the time in which it makes half rotationc)Impulse of the impact force is 24mv/55d)None of theseCorrect answer is option 'A,B,C'. Can you explain this answer? tests, examples and also practice Physics tests.
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