The two 86-mm-diameter spheres constructed of different metals are located in deep space. Determine the gravitational force F which the copper sphere exerts on the titanium sphere if (a) d = 2.4 m, and (b) d = 4.5 m. Copper Answers: (a) F = (i (b) F = (i Titanium 11X i+ i i+ j+i j+ k) (109) N k) (109) N
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- Find the elevation h (km) where the weight of an object is one-tenth its weight on the surface of the earth.The plane region A is submerged in a fluid of weight density . The resultant force of the fluid pressure on the region is R acting at the point C (called the pressure center) located at the distance h below the surface of the fluid. Show that R=Qa and h=Ia/Qa, where Qa and Ia are the first and second moments of A about the axis a-a.Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 30 mm. Assume a = 5.1, b = 2.6, 0-33°. Copper 1 R aR Titanium Ө bR -x
- 1. You are designing a new toy that you want to be stable. the bottom is NOT a sphere. In fact the radium increases with off axis angle s.t. R(0) = R'(1 - 0.1 cos(0)) Where R' is constant, not the height. So the distance from the ground to the star will always be R+ 0.1R' Take the center of mass to be above R' by a distance d (cm - R'). In terms of R' and cm, under what conditions is the toy in stabile equilibrium when upright? CMthe horizontal and vertical components of several forces are: (a) Ph = -200lb and Pv = 100lb : (b) Fh = 300lb and Fv = -200lb . determine each force and its angle with respect to the hozirontal (x-axis)Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 55 mm.
- Two solid spherical bodies have 12 in. and 10 in.diameters and are made of a material that weighs0.284lb / in.3. Determine the gravitational force of attractionbetween the two spheres when they are touching eachother.Two uniform aluminum spheres are positioned as shown. Determine the gravitational force which sphere A exerts on sphere B. The value of R is 50 mm. Hint: density of aluminum is 2710 kg/m³. 8R 30° 2RThe solar panel attached to the roof in Fig. 2.2-13 has a weight of W = 400N. Determine the rec- 2.2-4 tangular components of the weight of the panel in the inclined coordinate system. Express the weight of the solar panel in vector form. 0 = 70° . W Fig. 2.2-13
- Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 40 mm. Assume a - 5.0, b - 2.7, 0-38° y R Part 1 bR Your answer is partially correct. Titanium aR Copper Calculate the mass of each sphere. Assume a - 5.0, b - 2.7, 0-38. aR R Titanium Copper --x Answers: Titanium sphere m₂- i 1.1847 Copper sphere mc- 47.17 bR kg kgy 300 300 R Practice Problem 2.4.3 The force R is the resultant of the forces P1, P2, and P3 acting on the rectangular plate. Find P1 and P2 if R = 40 kN and P3 = 20 kN. 300 P3 Dimensions in mm 009 00tDRAW FREE BODY DIAGRAM DETERMINE THE AMOUNT OF NORMAL FORCES EXERTED ON THE CONTAINER. ANSWER IN 2 DECIMAL PLACES