The 24-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.3 m. Determine its mass moment of inertia lo (in kg⋅m²) about point O. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². Your Answer: Answer
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- For the orange shaded area shown in the image below, if the coefficients for the function a = 1.4 and b= 2.9, determine its area moment of inertia ly about the given y- axis. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. а - х y2 : %3D Your Answer:The sphere with mass m = 30 kg rolls down the inclined plane of angle = 20° without slipping. Determine its mass moment of inertia ½ (in kg•m²) about the axis that passes point A and is perpendicular to the screen. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. 0.15 m Your Answer: G Ө Answer AA composite pendulum is made of a uniform slender rod and a uniform disk. If the rod has length of 1.0 m and mass of 11.9 kg, and the disk has radius of 0.31 m and mass of 8.0 kg, determine the mass moment of inertia (in kg · m²) about the x'axis that passes through point O (seen from the profile view). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. G R Profile view Your Answer: Answer
- A composite pendulum is made of a uniform slender rod and a uniform disk. If the rod has length of 1.7 m and mass of 9.0 kg, and the disk has radius of 0.38 m and mass of 6.7 kg, determine the radius of gyration k about the centroidal x axis. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point, and proper unit. 1 R G Your Answer: Answer G y Profile view X unitsDetermine the weight moment of inertia (in lb · in') of the homogeneous body (shown in the image below) about the x axis. The specific weight of the material is g = 200 lb/ft3, the length /= 12 in., and the exponent in the equation a = 2.1. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. y ya = Your Answer: AnswerFor the composite area shown in the image below, if the dimensions are a = 38 mm, b = 240 mm, c = 276 mm, and b = 124 mm, determine its area moment of inertia Ī (in 106 mm²) about the centroidal horizontal X-axis (not shown) that passes through point C. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. 1 a
- Determine the weight moment of inertia (in lb · in') of the homogeneous body (shown in the image below) about the x axis. The specific weight of the material is g = 200 lb/ft3, the length /= 12 in., and the exponent in the equation a = 2.1. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. ya = x Your Answer: AnswerDetermine the weight moment of inertia (in lb · in²) of the homogeneous body (shown in the image below) about the x axis. The specific weight of the material is g= 360 lb/ft³, the length / = 8 in., and the exponent in the equation a = 3.1. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. y Your Answer: Answer ya = x- 1 X50 mm 150 mm 150 mm 300 mm find the moment of inertia for this exercise, with the following formulas: Polar Jo= Iox + + Toy Iox - Icx + Adg² Toy = Icg + dobe ² Caculation of centroid attached below. use it to solve the question in red box asap Som Av 3com for Portion A₁ - the figure is symme about y-aris. 2=0. AL 120mm AALD Area of A₁ = 300x50 = 15000 Y₁ = y₁ y = 300 for Pation A2 Area Az = 50x300 = 15000 By Considering Centroid, from the Bottom of the section. 300+ 50 = ₁ + 3/2 = 325 Centroid (ā, y) = = [0₁ SE = 50mm A, Ya+ A₂4 0, A₁+A₂ 15000x150 +15000x325 15000 15000 (0.237.5)
- Question 1 Determine the moments of inertia Ix andly of the area shown, Given L1= 3.6 cm, L2= 3.8 cm 1.3 cm 1.0 cm 0.5 cm L2 0.5 ст (0,0) A| B -L1-The 27-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.2 m. Determine its mass moment of inertia lo (in kg•m2) about point O. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s2. L/2 Your Answer: AnswerDetermine the second moments of area in m* and the radii of gyration in meters for the shaded area shown about the x-axis and the y-axis. y (m) -ху %3D 10 5 4 2 X (m) 6 1 2 3 4 5 105 X m4 35 X m4 %3D Kx m %D Ky %D m 3.