7/53 A uniform rectangular block of height h and mass m is centered in a horizontal position on the fixed circular surface of radius r. Determine the limiting value of h for stability. •G T h
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- Determine the distance h to which a 100 mm diameter hole must be boredinto the base of the cone so that the centre of mass of the resulting shape is located at the surface of the bore-hole (i.e, ? = ℎ). The material has a density of 10 Mg/m3Find the center of mass of a laminate bounded by y=−x,y=x,y=2 with variable density modeled by \rho (x,y)=y+5. Question 3 Answer a. (0,2619) b. (35,94) c. (−23,116) d. None of the above e. (0,1) f. (0,32)Macmillan L A uniform, rectangular block made of steel has dimensions 1.00 cm x 2.00 cm x 3.00 cm. It is placed on a wooden board, and then the board is tilted until the block begins to slide down the board. Which face of the block should be in contact with the board, so that it begins to slide at the shallowest angle? the 1.00 cm x 3.00 cm face the 1.00 cm x 2.00 cm face ○ The answer depends on the type of steel and the type of wood. The block will begin to slide at the same angle in each case. the 2.00 cm x 3.00 cm face
- 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()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() tan() J ( ) 7 8 cotan() asin() acos() E 1시 신 4 atan() acotan() sinh() 5 6 7 * 1 2 3