Q/A shaft 1.3m long carries three unbalanced wheels, 1, 2, and 3 spaced at 0, 0.7, and 1.3m from one end respectively. The masses are 8,10, and 6kg, and the eccentricities of the centres of mass are 60, 50 and 40 mm respectively. The directions of the eccentricities of 2 and 3 relative to 1 are 60° and 270° respectively. The shaft is supported in bearing A and B which are 0.2 m and 1m from 1. 1- Find the forces on the bearings, in magnitude and direction, when the shaft rotates at 90 r.p.m. 2- A mass is to be bolted to the wheel 3 at a radius of 100 mm to make the forces on the bearing equal and opposite. Find the mass required and its angular position. 3- What is the maximum speed at which the shaft may run, to ensure that the vertical component of the load on F is always downwards?

Q/A shaft 1.3m long carries three unbalanced wheels, 1, 2, and 3 spaced at 0, 0.7, and 1.3m from one end respectively. The masses are 8,10, and 6kg, and the eccentricities of the centres of mass are 60, 50 and 40 mm respectively. The directions of the eccentricities of 2 and 3 relative to 1 are 60° and 270° respectively. The shaft is supported in bearing A and B which are 0.2 m and 1m from 1. 1- Find the forces on the bearings, in magnitude and direction, when the shaft rotates at 90 r.p.m. 2- A mass is to be bolted to the wheel 3 at a radius of 100 mm to make the forces on the bearing equal and opposite. Find the mass required and its angular position. 3- What is the maximum speed at which the shaft may run, to ensure that the vertical component of the load on F is always downwards?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Q/A shaft 1.3m long carries three unbalanced wheels, 1, 2, and 3 spaced at 0, 0.7,
and 1.3m from one end respectively. The masses are 8,10, and 6kg, and the
eccentricities of the centres of mass are 60, 50 and 40 mm respectively. The
directions of the eccentricities of 2 and 3 relative to 1 are 60° and 270° respectively.
The shaft is supported in bearing A and B which are 0.2 m and 1m from 1.
1- Find the forces on the bearings, in magnitude and direction, when the shaft
rotates at 90 r.p.m.
2- A mass is to be bolted to the wheel 3 at a radius of 100 mm to make the forces
on the bearing equal and opposite. Find the mass required and its angular
position.
3- What is the maximum speed at which the shaft may run, to ensure that the
vertical component of the load on F is always downwards?

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