A pair of uniform identical wires are bent into semi-circular rings, and then glued…
Physics · JEE Advanced · NTA Exams — Rotational Motion
A pair of uniform identical wires are bent into semi-circular rings, and then glued together so that the two rings have a common centre, but the planes of the semicircles are mutually perpendicular as shown in the figure:
Note that B is the common mid–point of the semi-circular rings. While O is the centre of the rings. If m is the total mass of the system and R is the radius of the rings. Which of the following statements is (are) true?
Note that B is the common mid–point of the semi-circular rings. While O is the centre of the rings. If m is the total mass of the system and R is the radius of the rings. Which of the following statements is (are) true?
- Moment of inertia of the system about the axis OB is given by \(\mathrm{mR}^{2}\)
- Moment of inertia of the system about the axis OB is given by \(\frac{\mathrm{mR}^{2}}{2}\)
- Radius of gyration of the system about the axis OB is given by \(\frac{R}{\sqrt{2}}\)
- Radius of gyration of the system about the axis OB is given by \(\boldsymbol{R}\).
Answer
(B) Moment of inertia of the system about the axis OB is given by mR ^ 2 2, (C) Radius of gyration of the system about the axis OB is given by R 2
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