Question

[0,625 kg · m²; 23 N; 9,0 rad/s²; 2,3 m/s²; 18; 28 m; 11 rad/s]

          [0,625 kg · m²; 23 N; 9,0 rad/s²; 2,3 m/s²;
18; 28 m; 11 rad/s]

Added by Filippo B.

Engineering Mathematics

Stroud, K. A. Booth, Dexter J. 7th Edition

Chapter 8

Instant Answer

Solved by Expert Ivan Kochetkov

05/06/2023

Step 1

Moment of inertia of the disc with respect to the axis of rotation: The moment of inertia of a solid disc with respect to its central axis is given by the formula I = (1/2)MR^2, where M is the mass of the disc and R is its radius. In this case, M = 5 kg and R = Show more…

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A body of mass m = 3 kg is hanging from a string rolled up on a small cylinder with a radius of 0.25m attached cat in the center of a disk of mass 5 kg and radius 0.5 m, allowing it to rotate. After the mass is released from standstill as the system accelerates. • what is the moment of inertia of the disc with respect to the axis of rotation (neglect the cylinder)? • How much are the tension of the rope, the acceleration angular ration of the disk and the acceleration of the down block? • How many revolutions does the wheel make in the first 5 s and by how much did the mass drop in that time? • How much is the angular speed of the wheel after that the weight dropped by 180 cm? (use energy)