InterviewSolution
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InterviewSolution
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A folded plate OABCDEFO made of materials such that part OABO (say part(i), BCDOB hs mass 4m, m and m respectively. Part (i) is a uniform semicircular plate of radius R//2 and in on the xy plane. Part (ii) and (iii) each is a uniform quarter circular plate of radius R on xy and xz plane respectively. The whole system is free to rotate about y-axis A particle P of mass m moving with velocity v_(0) hits to a point located at the circumcentre of the part (iii) and sticks to it. The point is at a distance R//2 from x -axis as shown in the figure. Angular velocity of the combined system just after the collision is |
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Answer» `(v_(0))/(4R)` `=(4m(R/2)^(2))/4+(mR^(2))/4+(mR^(2))/2+mR^(2)=2mR^(2)` Conservation of ANGULAR MOMENTUM ALONG `y`-axis `mv_(0) R/2=2mR^(2)omega` `omega=(v_(0))/(4R)` |
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