3. A thin uniform rod of mass M and length L is bent at its center so that the two segments are perpendicular to each other. Find its moment of inertia about an axis perpendicular to its plane and passing through the point where the two segments meet.
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- A solid cylinder of inertia 1.3kg * m ^ 2 rotates about a vertical frictionless axle with angular velocity 30 rad / (sec(ond)) A second solid cylinder of inertia 2.2kg * m ^ 2 is initially not rotating and it drops onto the first cylinder. The two surfaces are rough and they eventually come to the same angular velocityCalculate the magnitude of the final angular velocity Answer in units of md / s8. A 1.25 kg solid, uniform sphere rolls without slipping across a level surface, translating at 3.25 m/s. If the sphere's radius is 0.480 m, find the following. (a) the sphere's translational kinetic energy (in J) (b) the sphere's rotational kinetic energy (in J)Consider two uniform solid spheres where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is ___. I = (2/5)MR^2 10 4 8 2 6
- 3. In the figure, a solid cylinder is undergoing a rotational motion about its centroidal axis AA. If the mass of the cylinder is m = 12 kg and its radius is r = 0.3 m, determine: (a) The mass moment of inertia of the cylinder about the centroidal axis (b) The mass moment of inertia of the cylinder about an axis DD which is located at a distance rc = 0.2 m parallel to the centroidal axis D 90⁰ rc A CA rigid bar with a mass M and length L is free to rotate about a frictionless hinge at a wall. The bar has a moment of inertia I = 1/3 ML2 about the hinge, and is released from rest when it is in a horizontal position as shown. What is the instantaneous angular acceleration at the moment when the bar has swung down so that it makes an angle of 30° to the vertical?Computation. Consider a stick 1.00 m long and its moments of inertia about axes perpendicular to the stick's length and passing through two different points on the stick: first, a point at its center and second, a point 13 cm from one end. Calculate the ratio 12/11, the ratio of the second moment of inertia to the first. I 2 1/1/1 = I₁ Record your numerical answer below, assuming three significant figures. Remember to include a "_" as necessary. O Search De
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