Hello,Please answer this attached question with its free object diagram, with detail, please. Thanks A uniform rectangular plank of mass M, length L, width 2d, and thickness 2a is balancedhorizontally on a fixed cylinder of radius R, with its length parallel to the axis of thecylinder. Assuming that the plank rolls without slipping on the cylinder, find the conditionfor stable equilibrium of the plank and the frequency of small oscillations. The momentof inertia of the plank about an axis parallel to the cylinder axis and passing through itscenter of mass is1IomIan = M (d + a*).

Answered: Image /qna-images/answer/861187e8-454f-47ca-8cf2-8cf19cff9c36.jpg

Answered: A uniform rectangular plank of mass M,…

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From inspection of the torque equation we can find another quantity called the moment of inertia, denoted I, which is the "angular mass". I = mr2 = moment of inertia This was for one point-like mass in the example, but what if we had two balls on the same string some distance apart from one another. Well like before each of these point-like masses has a torque and we are allowed to sum all our torques (similar to forces), i.e. Tnet = T1+ 72 = (mıraı + m2ržaz2)2 Then our moment of inertia for this system would be I = mır} + m2r What if we kept adding masses along the string? Well eventually we would have a distribution of masses along this string that would have to be summed for each radius squared distance they are away from our pivot. If we made a line of masses then we would need to integrate over this distribution of infinitesimal masses to find the total moment of inertia of our system, i.e. Tnet a fr² dm 2 Let's not worry too much about how one would go about integrating out a…
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You are designing an RPG (role-playing game) for a gaming console and have decided to use an open world design, where players can explore the terrain freely, encountering enemies by chance. 8. Your design team has coded this in-game world to exist on the circle x² + y? < 900 Page 3 on the xy-plane. At any point (x, y) in this world you've also associated a danger function d(x, y) that measures how likely it is to encounter an enemy at that point. Thus high values of d(x,y) correspond to dangerous points, while low values of d(x, y) correspond to safe points. If d(x, y) = e¬a²y, find the safest point(s) and most dangerous point(s) in-game.
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What is the Free Body diagram of the following image? O
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