Q#1: Four masses A, B, C and D carried by a rotating shaft at radii 80 mm, 100mm, 160 and 120 mm respectively are completely balanced. Masses B, C and D are 8 kg, 4 kg and 3kg respectively. Determine the mass A and the relative angular positions of the four masses if each of the plane are spaced 500 mm apart.

Q#1: Four masses A, B, C and D carried by a rotating shaft at radii 80 mm, 100mm, 160 and 120 mm respectively are completely balanced. Masses B, C and D are 8 kg, 4 kg and 3kg respectively. Determine the mass A and the relative angular positions of the four masses if each of the plane are spaced 500 mm apart.

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 shaft carries four masses A, B, C and D of magnitude 210 kg, 310 kg, 410 kg and 210 kg respectively and revolving at radii 7 cm, 6 cm, 7 cm and 7.5cm in planes measured from mass A at 30 cm, 40 cm and 70cm. The angular positions of the masses B,C,and D are 450,1150,235° from the mass A. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 10cm, between X and Y is 40cm and between Y and is 20 cm. If the balancing masses revolve at a radius of 10cm.Find the magnitude and angular position of mass Y
Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A uniform slender rod of length L = 900 mm and mass m = 4 kg is suspended from a hinge at C. A horizontal force P of magnitude 75 N is applied at end B. A Ja B C P Determine the corresponding angular acceleration of the rod. The corresponding angular acceleration of the rod is rad/s² O.
The following figure shows a top view of a spinning, cylindrical gyroscope wheel. The pivot is at O, and the mass of the axle is negligible. Use ?=2.9cm and ?=3cm. a. As seen from above, is the precession clockwise or counterclockwise? b. If the gyroscope precesses at 1.7 revolution per second, what is the angular speed of the wheel in revolution per minute? Insert your answer correct up to at least a third decimal place.
The iillustration depicts a prototype design for the High-G Rover. It is made up of an arm that is attached to a shaft that is pinned to a disk. The aarm has a retractable shaft that extends and contracts to cause the disk to rotate. To make the computation easier, let us assumee that the arm does nott rotate A. If the arm's total length is L = 640mm, the distance from the centre of the disk to the shaft pin is r = 112mm, and the arm rotates clockwise at a constant angular velocity of 250.273 rpm. 1.) Would an increase in angular velocity increase point C's linear velocity relative to point A? If so, why or why not? a.) What is the linear velocity of point C with respect to point A if the angular position of the pin (between AB and BC) is 0.578 radians? b.) What is the distance between points A and C if the angular position of the pin (between AB and BC) is 0.578 radians? c.) What is the linear velocity of point C with respect to point A if the angular velocity is increased by 34.34…
A pair of rods and disc form a triangle with a spring (a spring connects A to C). The spring has a spring constant of 20 N/m and an unstretched length of 1.5m. each rod has a length of 3m and a mass of 10kg. The disk has a mass of 5kg, a radius of .5 and rolls without slipping. The system starts with an angle between the spring and rods of 60 degrees, determine the angular velocity of the rods after it has dropped to a 30 degree angle.
Figure shows a lift technique to strengthen the triceps/biceps muscles by doing a lift to the load m via the pulley system. If the angular velocities of arm AB (300 mm) is 1 rad/s and arm BC (400 mm) is 2 rad/s. How fast is he lifting the mass m in mm/s? a. 800 b. 950 c. 985 d. 260 30
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, B, C and D are four masses carried by a rotating shaft, the masses and eccentricity at B and C are (20 kg, 15 kg) and (150 mm, 140mm) respectively. The masses at A and D have an eccentricity of 170 mm. The angle between the masses at B and C is 90° and that between the masses at B and A is 200°, both being measured in the same direction. The planes containing masses A and B are 300 mm apart and that between B and C are 400 mm. If the shaft is in complete dynamic balance, determine : 1. The magnitude of the masses at A and D; 2. The distance between planes A and D ; and 3. The angular position of the mass at D
A shaft carries four masses A, B, C and D of magnitudes 18 kg, 15 kg, 27 kg, and 22.5 kg respectively and revolving at radii 20 mm, 25 mm, 30 mm and 15 mm respectively. The masses are rotating in the same plane. The angular position of masses B, C and D are 60 degrees , 135 degrees and 270 degrees from mass A. Find the magnitude and position of the balancing mass at a radius of 50 mm,
Figure 5 shows a lever ABC pivoted at B and having a mass of 6 kg and a grinding radius of 75 mm at B. The lever GDF has a uniform section pivoted at G and has a mass of 1.2 kg. It carries a mass of I kg in F. The ECD chain has a mass of 1 kg and always moves on a vertical axis. It carries a mass of 1kg in E. K1 and K2 spring has a constant of 400 N/m and 1 kNm. Find the natural E K, 50 mm B C A K2 200 mm 300 mm 50 mm G F 350 mm 100 mm frequency of the system. Ignore all pendulum effects. [Ans: 14.68 rad/s]
The homogeneous bars have a mass as follows: bar AC has a mass of 7 kg, bar ABhas a mass of 10 kg, and rod BD has a mass of 2 kg. In the drawn position, therod AC has an angular velocity of 4 rad/s and an angular acceleration of 2 rad/s2, both clockwise.Determine the magnitude of the moment M acting on the member AC. Give all the equations neededto solve this question without calculating it