Question 3 A shaft rotating at 180 rev/min is supported by bearings A and B, 2.1 m apart, A being at the left-hand end. Two unbalanced rotating masses of 8.1 kg and 10.2 kg at radii of 80 mm and 52 mm, respectively, are situated between A and B at distances of 0.63 m and 0.92 m respectively from A. The angle between the radii is 60° when viewed along the shaft. Take A as your reference plane, then, using the graphical method, determine the dynamic forces at A and B when the 8.1 kg mass is vertical and above the shaft and the 10.2 kg mass is on the right of the 8.1 kg mass when viewed from B to A.

Question 3 A shaft rotating at 180 rev/min is supported by bearings A and B, 2.1 m apart, A being at the left-hand end. Two unbalanced rotating masses of 8.1 kg and 10.2 kg at radii of 80 mm and 52 mm, respectively, are situated between A and B at distances of 0.63 m and 0.92 m respectively from A. The angle between the radii is 60° when viewed along the shaft. Take A as your reference plane, then, using the graphical method, determine the dynamic forces at A and B when the 8.1 kg mass is vertical and above the shaft and the 10.2 kg mass is on the right of the 8.1 kg mass when viewed from B to A.

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

See similar textbooks

Similar questions

QI/ A shaft rotating at 120 r.p.m is supported in bearing A and B, 1.8 m apart, A being at the left – hand end. Two unbalanced rotating masses of 7.5 kg and 10 kg at radii of 75 mm and 50 mm respectively are situated between A and B at distances of 0.6 m and 0.9 m respectively from A. The angle between the radii is 60º when viewed along the shaft. Answer the following questions: and ... 1- The dynamic forces are 2- Forces on bearings A and B due to dead weight are and 3- Resultant force at A and B are ..... and 4- A rotor supported at A and B carries two masses. The rotor is (a) dynamically balanced (b) statically balanced (c) both (a)&(b) (d) none. 5- The static balancing is satisfactory for low-speed rotors but with increasing speeds, dynamic balancing becomes necessary. This is because, the (a) unbalanced couples are caused only at higher speeds (b) unbalanced forces are not dangerous at higher speeds (c) effects of unbalances are proportional to the square of the speed (d) effects…
Q1/ A shaft rotating at 120 r.p.m is supported in bearing A and B, 1.8 m apart, A being at the left- hand end. Two unbalanced rotating masses of 7.5 kg and 10 kg at radii of 75 mm and 50 mm respectively are situated between A and B at distances of 0.6 m and 0.9 m respectively from A. The angle between the radii is 60" when viewed along the shaft. Answer the following questions: 1- The dynamic forces are. 2- Forces on bearings A and B due to dead weight are .. ., and. 3- Resultant force at A and B are .. . and 4- A rotor supported at A and B carries two masses. The rotor is (a) dynamically balanced (b) statically balanced (c) both (a)&(b) (d) none. and ..
A shaft is rotating at a uniform angular speed. Four masses M1, M2, and M3 and M4 of magnitudes 300kg, 450kg, 360kg, 390kg respectively are attached rigidly to the shaft. The masses are rotating in the same plane. The corresponding radii of rotation are 200mm, 150mm, 250mmand 300mm respectively. The angle made by these masses with horizontal are 0°.45°, 120°and 255°respectively. Find-(i) the magnitude of balancing mass (ii) the position of balancing mass if its radius of rotation is 200mm.
A shaft carries four masses A, B, C and D of magnitude 10 kg, 20 kg, 15 kg and 25 kg respectively and revolving at radii 100 mm, 50mm, 80 mm and 120mm in planes measured from A at 100 mm, 300 mm and 500 mm.The angles between the cranks measured anticlockwise are A to B = 40°, B to C = 50° and C to D = 150°.The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 50 mm, between X and Y is 350mm.If the balancing masses revolve at a radius of 50 mm, find the magnitude for mass on plane X (consider plane X as the refernce plane).Select one:A.78.8 kgB.68.8 kgC.98.8 kgD.48.8 kg  For the data given in Question 4, find the magnitude for mass on plane Y (consider plane X as the reference plane).Select one:A.59.1 kgB.69.1 kgC.99.1 kg D.49.1 kg
A shaft carries four masses A, B, C and D of magnitude 10 kg, 20 kg, 15 kg and 25 kg respectively and revolving at radii 100 mm, 50 mm, 80 mm and 120mm in planes measured from A at 100 mm, 300 mm and 500 mm. The angles between the cranks measured anticlockwise are A to B = 40°, B to C = 50° and C to D = 150°. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 50 mm, between X and Y is 350 mm. If the balancing masses revolve at a radius of 50 mm, find the magnitude for mass on plane X (consider plane X as the refernce plane).
A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible solution. PS – Use graphical methods to solve the balancing problem
A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: The magnitude of the mass in plane E and its angular position relative to the mass in plane A The distance of the plane E from plane A PS – Use graphical methods to solve the balancing problem
A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: (a) The magnitude of the mass in plane E and its angular position relative to the mass in plane A (b) The distance of the plane E from plane A (c) The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible solution.
A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: (a) The magnitude of the mass in plane E and its angular position relative to the mass in plane (b) The distance of the plane E from plane A (c) The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible solution. PS - Use graphical methods to solve the…
A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. Determine: The magnitude of the mass in plane E and its angular position relative to the mass in plane A The distance of the plane E from plane A The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible solution. PS – Use graphical methods to solve the…
A shaft turning at a uniform speed carries two uniform discs A and B of masses 10kg and 8kg respectively. The centres of the mass of the discs are each 2.5mm from the axis of rotation. The radii to the centres of mass are at right angles. The shaft is carried in bearings C and D between A and B such that AC = 0.3m, AD = 0.9m and AB = 1.2m. It is required to make dynamic loading on the bearings equal and a minimum for any given shaft speed by adding a mass at a radius 25mm in a plane E. USING THE METHOD OF DRAWING m*r and m*r*l diagram Determine: The magnitude of the mass in plane E and its angular position relative to the mass in plane A The distance of the plane E from plane A The dynamic loading on each bearing when the mass in plane E has been attached and the shaft rotates at 200 rev/min. For the bearing loads in the opposite direction determine all the unknown values. For the bearing loads in the same direction, show the diagrams and equations only to use for a possible…
The turbine rotor of a ship has a mass of 4000 kg and a radius of gyration of 480 mm. It rotates at 2400 rev/min. clockwise when looking forward from the stern. In each of the following cases, determine the magnitude and indicate clearly with suitable diagrams the effect of the gyroscopic couple acting on the ship: (a) (b) (c) If the ship, when travelling at 15 ms¹ turns to starboard in a curve of 1000m radius. If the ship is pitching and the bow is descending with maximum velocity. The pitching motion is simple harmonic, the period being 20 seconds and the total angular movement is 12º. If the ship is rolling and at a certain instant has an angular velocity of 0.02 rad/sec. clockwise when looking forward from the stern.