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A rigid body is made of three identical thin rods, each of length L fastened together in the form of letter H. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H. The body is allowed to fall from rest from a position in which the plane of H is horizontal. What is the angular speed of the body when the plane of H is vertical ? A. `sqrt(g/L)`B. `1/2sqrt(g/L)`C. `3/2sqrt(g/L)`D. `2sqrt(g/L)` |
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Answer» Correct Answer - C `I=0+(mL^(2))/3+mL^(2)=4/3mL^(2)` from energy conservation `1/2Iomega^(2)=0+"mg"L/2+"mgL"` `"So "omega=3/2sqrt("g"/L)` |
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