Find center of mass of a solid hemisphere of constant and variable density
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Find center of mass of a solid hemisphere of constant and variable density.

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- Raising the center of gravity of a floating object improves its stability. Select one: O True O FalseDetermine the x-, y-, and z-coordinates of the mass center of the body constructed of uniform slender rod. 3.3" to 4.7" 5.2" Answers: X- y- i i in. in. in.Aun is Q5/ If a Moment of M 300 N. m is applied to the flywheel, determine the force that must be developed in the hydraulic cylinder CD to prevent the flywheel from rotating. The coefficient of static friction between the friction pad at B and the flywheel is 0.4. 8/12 Hib 0.6 m 1m 30 IB 60 mm 0.3 m M = 300 N-m
- Problem 5: A painter (of mass 71 kg) needs to reach out from a scaffolding to paint the side of a building, so he lays a plank across two bars of the scaffolding, and puts a heavy bucket of mass 27 kg directly over one of the bars (see figure). You can assume the plank is massless, and is long enough to reach to the other building. L d If the bars are separated by a distance 1.5 m, how far, d, from the bar on the the right can the painter walk before the plank starts to fall? d= m 9 HOME sin() cos( cotan() asin() tan() П ( ) 7 8 acos() E ↑AAL 4 5 7* 1 2 3 6 atan() acotan() sinh()A spool of thread consists of a smaller cylinder of radiusR/2 in the middle and two discs of radius R fixed to its two ends.The thread is wound on the cylinder. The spool of mass m isplaced on a horizontal table, then the end of the thread is pulledin a direction shown in the figure.a) What is the angle α between the thread and the vertical ifthe center of the spool does not move neither to the left nor to theright? (Assume that the spool does not slip.)b) What is the coefficient of static friction between the spool and the table if the spool slipswhen the pulling force reaches a certain value F0?