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A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, the angle made by the bar with the vertical is q. Which of the following statements about its motion is/are correct ?
  • a)
     When the bar makes an angle q with the vertical, the displacement of its midpoint from the initial position is proportional to (1 – cosθ)
  • b)
    The midpoint of the bar will fall vertically downward
  • c)
    Instantaneous torque about the point in contact with the floor is proportional to sinθ
  • d)
    The trajectory of the point A is a parabola
Correct answer is option 'A,B,C'. Can you explain this answer?
Verified Answer
A rigid uniform bar AB of length L is slipping from its vertical posit...
When the bar makes an angle q; the height of its COM (mid point) is 
Since force on COM is only along the vertical direction, hence COM is falling vertically downward.
Instantaneous torque about point of contact is
Now;

Path of A is an ellipse.
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A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, the angle made by the bar with the vertical is q. Which of the following statements about its motion is/are correct ?a)When the bar makes an angle q with the vertical, the displacement of its midpoint from the initialposition is proportional to (1 – cosθ)b)The midpoint of the bar will fall vertically downwardc)Instantaneous torque about the point in contact with the floor is proportional to sinθd)The trajectory of the point A is a parabolaCorrect answer is option 'A,B,C'. Can you explain this answer?
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A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, the angle made by the bar with the vertical is q. Which of the following statements about its motion is/are correct ?a)When the bar makes an angle q with the vertical, the displacement of its midpoint from the initialposition is proportional to (1 – cosθ)b)The midpoint of the bar will fall vertically downwardc)Instantaneous torque about the point in contact with the floor is proportional to sinθd)The trajectory of the point A is a parabolaCorrect answer is option 'A,B,C'. 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 rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, the angle made by the bar with the vertical is q. Which of the following statements about its motion is/are correct ?a)When the bar makes an angle q with the vertical, the displacement of its midpoint from the initialposition is proportional to (1 – cosθ)b)The midpoint of the bar will fall vertically downwardc)Instantaneous torque about the point in contact with the floor is proportional to sinθd)The trajectory of the point A is a parabolaCorrect answer is option 'A,B,C'. 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 rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, the angle made by the bar with the vertical is q. Which of the following statements about its motion is/are correct ?a)When the bar makes an angle q with the vertical, the displacement of its midpoint from the initialposition is proportional to (1 – cosθ)b)The midpoint of the bar will fall vertically downwardc)Instantaneous torque about the point in contact with the floor is proportional to sinθd)The trajectory of the point A is a parabolaCorrect answer is option 'A,B,C'. Can you explain this answer?.
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