Where is the center of gravity of this log if its length is 10m? Estimate the uncertainty in the position, assuming the scale uncertainty 0.1 kg and the ruler uncertainty is 1cm.
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- U.S. nickels have a mass of 5.00 g and are 1.95 mm thick. If you stack 3 nickels on a table, how far above the table is their center of gravity?A fishing rope of length (74+ 50) m has the diameter (74 + 5) mm. When a weight of (74 +200) N is hung on the rope, the extension is (74 + 50) mm. Calculate,i. cross-sectional area of the fishing ropeii. strainrelative to the space available. Calculate the magnitude (in N/m²) of the normal force per square meter exerted by the juice if its bulk modulus is 1.6 × 10⁹ N/m², assuming the bottle does not break. A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands more than the glass when it warms up, in such a way that the volume AV increases by 0.3% (that is, = 3 x 10-3 V N/m² In view of your answer, do you think the bottle will survive? (Hint: How many atmospheres is this?) O Yes O No
- The rubber blocks shown are used in a double U shear mount to isolate the vibration of a machine from its supports. An applied load of P = 336 N causes the upper frame to be deflected downward by 5.5 mm. Determine the shear modulus Gof the rubber blocks. Assume a = 10 mm, b = 22 mm, and c = 27 mm. Double U anti-vibration shear mount b P Rubber block dimensions Shear deformation of blocks Answer: Shear Modulus G = i MPa.Calculate the weight (lbs) of a solid steel roller bar. It is 14.0 in. long and 3.0 in. in diameter. Use the density of steel ≈ 0.2833 lb/cu in. (Round to the nearest hundredth.)?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()
- Your answer is partially correct. One end of a wire is attached to a ceiling, and a solid brass ball is tied to the lower end. The tension in the wire is 221 N. What is the radius of the brass ball? Number i 1.75 Units mProblem 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 31. The setup shown by the diagram below was used to calculate the force experienced by a small mass m situated at a distance r from the geometric center of a spherical shell with mass M, radius R, and a wall thickness of t. M C dᎾ R 0 Rde A Rsine B r Ф dF Ф m If the mass is situated outside the spherical shell, the force can be calculated by integration from l = (r - R) to l= (r+ R), as shown here: l=r+R R - [ &F="TOmp: +(1+²²=² ) We SdF=fGmpat- de l=r-R What would the limits of integration be if the mass were situated inside the spherical shell? Include a labeled diagram to represent this situation.