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A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotating about its contact-point with the floor without slipping.
Which of the following statement(s) is/are correct, when the rod makes an angle 60º with vertical? [g is the acceleration due to gravity]
  • a)
    The radial acceleration of the rod's center of mass will be 3g/4
  • b)
    The angular acceleration of the rod will be 2g/L
  • c)
    The angular speed of the rod will be 
  • d)
    The normal reaction force from the floor on the rod will be Mg/16
Correct answer is option 'A,C,D'. Can you explain this answer?
Verified Answer
A thin and uniform rod of mass M and length L is held vertical on a fl...
We can treat contact point as hinged.
Applying work energy theorem 
Wg = ΔK.E.


radial acceleration of C.M. of rod
Using τ = I α about contact point


Net vertical acceleration of C.M. of rod


Applying Fnet = ma in vertical direction on rod as system


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A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotating about its contact-point with the floor without slipping.Which of the following statement(s) is/are correct, when the rod makes an angle 60º with vertical? [g is the acceleration due to gravity]a)The radial acceleration of the rods center of mass will be 3g/4b)The angular acceleration of the rod will be 2g/Lc)The angular speed of the rod will bed)The normal reaction force from the floor on the rod will be Mg/16Correct answer is option 'A,C,D'. Can you explain this answer?
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A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotating about its contact-point with the floor without slipping.Which of the following statement(s) is/are correct, when the rod makes an angle 60º with vertical? [g is the acceleration due to gravity]a)The radial acceleration of the rods center of mass will be 3g/4b)The angular acceleration of the rod will be 2g/Lc)The angular speed of the rod will bed)The normal reaction force from the floor on the rod will be Mg/16Correct answer is option 'A,C,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotating about its contact-point with the floor without slipping.Which of the following statement(s) is/are correct, when the rod makes an angle 60º with vertical? [g is the acceleration due to gravity]a)The radial acceleration of the rods center of mass will be 3g/4b)The angular acceleration of the rod will be 2g/Lc)The angular speed of the rod will bed)The normal reaction force from the floor on the rod will be Mg/16Correct answer is option 'A,C,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotating about its contact-point with the floor without slipping.Which of the following statement(s) is/are correct, when the rod makes an angle 60º with vertical? [g is the acceleration due to gravity]a)The radial acceleration of the rods center of mass will be 3g/4b)The angular acceleration of the rod will be 2g/Lc)The angular speed of the rod will bed)The normal reaction force from the floor on the rod will be Mg/16Correct answer is option 'A,C,D'. Can you explain this answer?.
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