Question

Four masses A, B, C, and D are attached to a shaft and revolve in the same plane. The masses are 12 kg, 10 kg, 18 kg, and 15 kg respectively, and their radii of rotation are 40 mm, 50 mm, 60 mm, and 30 mm. The angular positions of masses B, C, and D are 60°, 135°, and 270° from mass A. Find the magnitude and position of the balancing mass at a radius of 100 mm.

Name: four masses a b c and d are attached to a shaft and revolve in the same plane the masses are 12 kg 10 kg 18 kg and 15 kg respectively and their radii of rotations are 40 mm 50 mm 60 mm and 3 11567
Uploaded: 2022-11-19T13:01:29-08:00
Duration: 2 min 54 s
Channel: Sri K
Description: four masses a b c and d are attached to a shaft and revolve in the same plane the masses are 12 kg 10 kg 18 kg and 15 kg respectively and their radii of rotations are 40 mm 50 mm 60 mm and 3 11567

          Four masses A, B, C, and D are attached to a shaft and revolve in the same plane. The masses are 12 kg, 10 kg, 18 kg, and 15 kg respectively, and their radii of rotation are 40 mm, 50 mm, 60 mm, and 30 mm. The angular positions of masses B, C, and D are 60°, 135°, and 270° from mass A. Find the magnitude and position of the balancing mass at a radius of 100 mm.

Added by Sergio H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

11/19/2022

Step 1

The moment of inertia for a point mass rotating about an axis is given by the formula I = m*r^2, where I is the moment of inertia, m is the mass, and r is the radius of rotation. For mass A: I_A = 12 kg * (40 mm)^2 = 19,200 kg*mm^2 For mass B: I_B = 10 kg * (50 Show more…

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Four masses A, B, C, and D are attached to a shaft and revolve in the same plane. The masses are 12 kg, 10 kg, 18 kg, and 15 kg respectively, and their radii of rotation are 40 mm, 50 mm, 60 mm, and 30 mm. The angular positions of masses B, C, and D are 60°, 135°, and 270° from mass A. Find the magnitude and position of the balancing mass at a radius of 100 mm.