As the figure shows, a homogeneous rod of mass 1kg and length L = 2 m is nailed to the wall at its midpoint (O), so it can freely rotate around that point. The rod is subjected to the following forces: F₁ = 4 N, F₂ = 4 N, F₁ = 12 N. The distance d=0.75 m and the angle 8=25º. Determine the angular acceleration of the rod. F₁ F₂ F₁
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- A yo-yo is constructed of two brass disks whose thickness b is 8.5mm and whose radius R is 3.5cm, joined by a short axle whose radius Ro is 3.2mm. A. What is the rotational inertia about its central axis? Neglect rotational inertia of the axle. The density p is 8400kg/m^3. B. A string of length l=1.1m and of negligible thickness is wound on the axle. What is the linear acceleration of the yo-yo as it rolls down the string from the rest?Chapter 10, Problem 067 GO The figure shows a rigid assembly of a thin hoop (of mass m = 0.28 kg and radius R = 0.13 m) and a thin radial rod (of length L = 2R and also of mass m = 0.28 kg). The assembly is upright, but we nudge it so that it rotates around a horizontal axis in the plane of the rod and hoop, through the lower end of the rod. Assuming that the energy given to the assembly in the nudge is negligible, what is the assembly's angular speed about the rotation axis when it passes through the upside-down (inverted) orientation? Hoop Rod Rotation axis Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show WorkM, a solid cylinder (M=1.95 kg, R=0.135 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.770 kg mass, i.e., F = 7.554 N. Calculate the angular acceleration of the cylinder. Note: I already found the angular acceleration above to be 5.74*10^1 rad/s^2. This is my question: If instead of the force F an actual mass m = 0.770 kg is hung from the string, find the angular acceleration of the cylinder.
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