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A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and g is the acceleration due to gravity. The disc is then given a rapid spin ω about its axis in the positive x – axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE will
  • a)
    rotate slowly (compared to ��) about the negative z-axis direction
  • b)
    rotate slowly (compared to ��) about the positive z-axis direction
  • c)
    rotate slowly (compared to ��) about the positive y-axis direction
  • d)
    rotate slowly (compared to ��) about the negative y-axis direction
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A massive uniform rigid circular disc is mounted on a frictionless bea...
It is given that when view from rear disc rotates clock-wise, when string AB cut the point A goes down because C.G. of shaft away from C and towards A. So gyroscopic effect will be 

Angular velocity vector 

Rotate slowly (compared to ω) direction about the negative z-axis.
Hence, the correct option is (A). 
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A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and g is the acceleration due to gravity. The disc is then given a rapid spin ω about its axis in the positive x – axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE willa)rotate slowly (compared to ��) about the negative z-axis directionb)rotate slowly (compared to ��) about the positive z-axis directionc)rotate slowly (compared to ��) about the positive y-axis directiond)rotate slowly (compared to ��) about the negative y-axis directionCorrect answer is option 'A'. Can you explain this answer?
Question Description
A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and g is the acceleration due to gravity. The disc is then given a rapid spin ω about its axis in the positive x – axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE willa)rotate slowly (compared to ��) about the negative z-axis directionb)rotate slowly (compared to ��) about the positive z-axis directionc)rotate slowly (compared to ��) about the positive y-axis directiond)rotate slowly (compared to ��) about the negative y-axis directionCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and g is the acceleration due to gravity. The disc is then given a rapid spin ω about its axis in the positive x – axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE willa)rotate slowly (compared to ��) about the negative z-axis directionb)rotate slowly (compared to ��) about the positive z-axis directionc)rotate slowly (compared to ��) about the positive y-axis directiond)rotate slowly (compared to ��) about the negative y-axis directionCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and g is the acceleration due to gravity. The disc is then given a rapid spin ω about its axis in the positive x – axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE willa)rotate slowly (compared to ��) about the negative z-axis directionb)rotate slowly (compared to ��) about the positive z-axis directionc)rotate slowly (compared to ��) about the positive y-axis directiond)rotate slowly (compared to ��) about the negative y-axis directionCorrect answer is option 'A'. Can you explain this answer?.
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If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE willa)rotate slowly (compared to ��) about the negative z-axis directionb)rotate slowly (compared to ��) about the positive z-axis directionc)rotate slowly (compared to ��) about the positive y-axis directiond)rotate slowly (compared to ��) about the negative y-axis directionCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and g is the acceleration due to gravity. The disc is then given a rapid spin ω about its axis in the positive x – axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE willa)rotate slowly (compared to ��) about the negative z-axis directionb)rotate slowly (compared to ��) about the positive z-axis directionc)rotate slowly (compared to ��) about the positive y-axis directiond)rotate slowly (compared to ��) about the negative y-axis directionCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and g is the acceleration due to gravity. The disc is then given a rapid spin ω about its axis in the positive x – axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE willa)rotate slowly (compared to ��) about the negative z-axis directionb)rotate slowly (compared to ��) about the positive z-axis directionc)rotate slowly (compared to ��) about the positive y-axis directiond)rotate slowly (compared to ��) about the negative y-axis directionCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and g is the acceleration due to gravity. The disc is then given a rapid spin ω about its axis in the positive x – axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE willa)rotate slowly (compared to ��) about the negative z-axis directionb)rotate slowly (compared to ��) about the positive z-axis directionc)rotate slowly (compared to ��) about the positive y-axis directiond)rotate slowly (compared to ��) about the negative y-axis directionCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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