A uniform rod has a mass of 5.0 kg and a length of 2.0 m. At one end is attached a small 3.0 kg mass, and at the other end is a small 1.0 kg mass. How far from the 3.0 kg mass is the center of mass of the system?
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A uniform rod has a mass of 5.0 kg and a length of 2.0 m. At one end is attached a small 3.0 kg mass, and at the other end is a small 1.0 kg mass. How far from the 3.0 kg mass is the center of mass of the system?
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- Wind energy is gaining increased attention, generating an increased interest in windmill technology. Because windmill blades (vanes) rotate about a central axis, one of the most important physical properties of a windmill is its moment of inertia. Given is a picture of a typical windmill, where the Center of mass geometry and center of mass of one of the vanes is illustrated. The mass of each vane is 207 kg. The distance from the center of mass of the vane to axis B is k, = 2.45 m. The distance from the center of mass of the vane to the center of the windmill hub is k, = 3.80 m. If the moment of inertia of a vane about axis A is 241 kg-m2 and about axis B is 5860 kg-m2, calculate the moment of inertia Itotal of the entire assembly about the axis that passes through the windmill's hub and is perpendicular to the screen. (Ignore the hub and assume the vanes are flat.) I total kg-m? IITo get up on the roof, a person (mass 70.0 kg) places a 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the bottom. The person is standing 3.00 m from the bottom. Find the normal reaction and friction forces on the ladder at its base.Objects with a uniform mass distribution and a symmetric shape have a center of mass at the center of the object. For non-uniform objects, the center of mass needs to be determined experimentally. To measure the center of mass of such an object, a pivot is placed in the middle of a board and the top of the non-uniform object is placed to the right of the pivot. When a uniform 10.0 kg mass has its center placed 60.0 cm to the left of the pivot the system balances perfectly (as shown below). The mass of the non-uniform object is measured with an electronic scale in the lab and found to beM = 39.8 kg . Top of non-uniform object 10.0 kg M 60.0 cm Part A Where is the center of mass of the non-uniform object? (report the location from the top of the object, and in cm) ΑΣΦ ? dCM = ст