A disc (thin cylinder) of mass 0.29 kg and radius 0.75 m is rotating on a frictionless axle at a constant rate of 82 RPM. What is the moment of inertia for this disc? kg-m² A second disc of 0.14 kg and 0.41 m is dropped down the axle on top. The two then rotate together. What is the final moment of inertia for both discs together? kg/m²
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- A 1.9 m long rod has mass 7.6 kg. If the rotation axis is located at one end of the rod, then find its moment of inertia. 11.18 kg-m2 9.696 kg-m? 8.384 kg-m? 8.396 kg-m2 9.145 kg-m2 8.059 kg-m2 A. D. В. E. С. F.The moment of Inertia for a Ring is, I=MR² The moment of Inertia for a Disk or a cylinder is 0.5 x MR2 The moment of Inertia for a solid Sphere is 0.4 × MR? What is the moment of inertia for a ring with a mass 2M and an axis of rotation through the center of the ring with a radius 4R ? Answer in terms of MR2. MR2 Submit Answer Tries 0/2 What is the moment of inertia for a disk with a mass 3M and an axis of rotation through the center of the disk with a radius 4R? Answer in terms of MR2. MR²An ice skater is spinning about a vertical axis with arms fully extended. If the arms are pulled in closer to the body, in which of the following ways are the angular momentum and kinetic energy of the skater affected? A. L increases, K increases B. L increases, K remains constant C. L remains constant, K increases D. L remains constant, K remains constant
- F18-4. The 50-kg wheel is subjected to a force of 50 N. If the wheel starts from rest and rolls without slipping, determine its angular velocity after it has rotated 10 revolutions. The radius of gyration of the wheel about its mass center G is kg = 0.3 m. P = 50 N 04 m 30°Dr. H's daughter likes to empty out boxes of soda and roll the soda cans across the floor. One can of soda has a mass of 0.405 kg and goes rolling across the floor with a speed of 1.3 m/s. If the can is modeled as a solid cylinder with a diameter of 6.6 cm, what is the total kinetic energy of the can as it rolls without slipping? |Axis Thin hoop, radius R Through center MR? JAxis Thin hoop, radius R width w Through central diameter MR? + Mw? |Axis Solid cylinder, radius Ř Through R center |Axis Hollow cylinder, inner radius R, outer radius R, Through R center JAxis Uniform sphere, radius R Through center MR? Axis Long uniform rod, length e Through center Me Axis Through Long uniform rod, length e Me endz [meters] mc 6 kg MB 11 kg -5 10 x [meters] 100 kg MA -5- Calculate the moment of inertia about the z-axis for a group of point masses (see Figure). Mass A = 100 kg, mass B = 11 kg, massC = 6 kg and mass D = 8.8 kg. (PUHQ0239) %3D %3D a) 03.88 x 10 kg m2 3 b) O-9.18 x 10 2 kg m2 c) 04.08 x 10 kg m² 3 2 d) 03.65 x 10 3 kg m?
- Two barbells are sitting on the floor at the RWC. Both consist of a 10 kg bar with length 1.5 m, and two 25 kg plates. On the first barbell, both plates are located at the same end of the bar, while on the second barbell they are located at opposite ends. Which barbell has a larger moment of inertia? A The barbell with both weights at the same end B The barbell with the two weights located at opposite ends C Both have the same moment of inertia D Neither bar bell has a moment of inertia, since they aren't rotating E There isn't enough information to tell, since the moment of inertia depends on the choice of rotational axisThe three 'point' masses are as shown in the figure. m, = 2.0 kg at (x, y) =(0,0), m₂ = 3.0 kg at (4,3), and m3 = 4.0 kg at (8,0), respectively. What is the moment of inertia of the masses about the y axis? +y=3 m x=4 mThe moment of inertia of a solid sphere that is rotating about any diameter is equal to I0 = 2/5 MR2 . If the mass of the sphere is doubled but the radius is reduced in half, how does the moment of inertia change? It becomes 1/16 of the initial moment of inertia It becomes 1/4 of the initial moment of inertia It becomes 1/2 of the initial moment of inertia It becomes 1/8 of the initial moment of inertia How does the rotational energy of a body change if the angular velocity is doubled? the rotational energy increases by a factor of 8. the rotational energy increases by a factor of 2. the rotational energy does not change. the rotational energy increases by a factor of 4.
- A 16-kg block is attached to a cord that is wrapped around the rim of a flywheel of diameter 0.40 m and hangs vertically, as shown. The moment of inertia of the flywheel is 0.70 kg-m2. When the block is released and the cord unwinds, what is the acceleration of the block, expressed in terms of the acceleration due to gravity, g? 40 0.4 m 16 kg 1.8g O 1.0 g O 0.72 g 0.13 g O 0.48 gA disk of radius R and thickness t has a mass density that increases from the center outward, given by p = po (r/R), where r is the distance from the axis of the disk. What is the moment of inertia about the disk axis in terms of M and R? O MR 2MR O sMP 3MR 5 O 2MR 3 5MR 3PLEASE DRAW AN FBD AND ANSWER IT ON A PAPER The figure shown is on a fixed frictionless axle. It has a moment of inertia of I = 50 kg-m2 . The forces acting on the object are F1 = 100 N, F2 = 200 N, and F3 = 250 N acting at different radii R1 =60 cm, R2 = 42 cm, and R3 = 28 cm. Determine the angular acceleration of the object.