2. A circular disc mounted on a shaft carries three attached masses of 4 kg, 3 kg and 2.5 kg at radial distances of 75 mm, 85 mm and 50 mm and at the angular positions of 45°, 135° and 240° respectively. The angular positions are measured counterclockwise from the reference line along the x-axis. Determine the amount of the counter mass at a radial distance of 75 mm required for the static balance. (

2. A circular disc mounted on a shaft carries three attached masses of 4 kg, 3 kg and 2.5 kg at radial distances of 75 mm, 85 mm and 50 mm and at the angular positions of 45°, 135° and 240° respectively. The angular positions are measured counterclockwise from the reference line along the x-axis. Determine the amount of the counter mass at a radial distance of 75 mm required for the static balance. (

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

A, B, C and D are the four masses carried by a shaft in this order. Radii of rotation of the masses are 20cm, 25 cm, 10 cm and 15 cm respectively. The masses of B, C and D are 3 kg, 5 kg and 4 kg respectively.The planes containing B and C are 25 cm apart. Angle between B and C is 90o and between B and D is220o measured in anticlockwise direction. For complete dynamic balance, find (i) The mass and angularposition of A, (ii) The position of planes A and D.
A 7.5-kg disk A radius 0.6 m initially rotating clockwise at 300 rev/min is engaged with an 8.5-kg disk B radius 0.4 m initially rotating counter-clockwise at 700 rev/min, where the moment of inertia of a disk is given as I=1/2mr^2. Determine their combined angular speed (in rpm) and direction of rotation after the meshing of the two disk.
A turbine rotor is found to be out of balance to the extent of 1.5 kg at 0.45 m radius in the plane AA and 2kg at 0.6 m radius in the plane BB, the relative angular positions being given in the end view. It is desired to balance these masses by a mass in each of the planes XX and YY at radii of 0.525m and 0.45m respectively. Determine the magnitude and positions of these masses and show their positions in an end view. (Answer: X, 1.42kg, 209.27 degrees from A; y, 2.12KG, 329.1 degrees from A)
A uniform rod of mass M = 2.3 kg and length L = 0.2 m, lying on a frictionless horizontal plane, is free to pivot about a vertical axis through one end, as shown. The moment of inertia of the rod about this axis is given by 1/3 ML2. If a force F = 7 N, q = 47° acts as shown, what is the resulting angular acceleration (in rad/s2) about the pivot point?
Two masses A and B are attached to a shaft and revolve in the same plane. The masses are 12 kg and 10 kg, respectively and their radii of rotations are 40 mm, and 50 mm. The angular position of the mass B,is 150° from the mass A. Find the magnitude and position of the balancing mass at a radius of 100 mm.
Four masses m1, m2, m3 and m4 are 10 kg, 20 kg, 30 kg and 40 kg respectively. The corresponding radii of rotation are 0.1 m, 0.15 m, 0.3 m and 0.35 m respectively and the angles between successive masses are 40°, 60° and 120°. Find the position and magnitude of the balance mass required, if its radius of rotation is 0.5 m.
a rotating shaft carries four unbalanced masses 18 kg, 14 kg, 16 kg and 12 kg at radii 50 mm, 60 mm, 70 mm and 60 mm respectively. the 2nd, 3rd and 4th masses revolve in planes 80 mm, 160 mm and 280 mm respectively measured from the plane of the first mass and are angularly located at 60°, 135° and 270° respectively measured clockwise from the first mass looking from this mass end of the shaft. the shaft is dynamically balanced by two masses, both located at 50 mm radii and revolving in planes mid-way between those of 1st and 2nd masses and midway between those of 3rd and 4th masses. determine, graphically or otherwise, the magnitudes of the masses and their respective angular positions.
The shaft, bearing two unbalanced masses, rotates at a constant speed of ω = 20 r/s. In the case of balancing in the DI and DII planes, find the balancing values (kg.mm) and their positions.
A shaft carries four masses, B, C, and D of magnitude 200 kg, 300 kg, 400 kg, and 200 kg respectively and revolving at radii 80 mm, 70 mm, 60 mm, and 80 mm in planes measured from A at 300 mm, 400 mm and 700 mm. The angles between the cranks measured anticlockwise are A to B 45º, B to C 70º, and C to D 120º. the balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 100 mm, between X and Y is 400 mm and between Y and D is 200 mm. If the balancing masses revolve at a radius of 100 mm, find their magnitude and angular positions.
A 5.32-kg disk A of radius 0.445 m initially rotating counter-clockwise at 436 rev/min is engaged with a 6.72-kg disk B of radius 0.275 m initially rotating clockwise at 528 rev/min, where the moment of inertia of a disk is given as I = ½ mi?. Determine their combined angular speed (in rpm) and direction of rotation after the meshing of the two disks. Remember to show clearly the equations that you use!!'
A uniform solid disk of mass 2.0 kg and radius 0.30 m is initially at rest. It is then rotated by a constant torque about an axis through its center of mass until it reached an angular speed of 3.0 rad/s. What is the work done by the constant torque? The moment of inertia through the center of mass is (2/5)MR^2.
A, B, C and D are four masses carried by a rotating shaft at radii 100mm, 150mm, 150mm and 200mmrespectively. The planes in which the masses rotate are spaced at 500mm apart and the magnitude ofthe masses B, C and D are 9kg, 5kg and 4kg respectively. Find the required mass A and the relativeangular settings of the four masses so that the shaft shall be in complete balance.