A rotating shaft carries three unbalanced masses of 4 kg, 3 kg, and 2.4 kg at radial distances of 75 mm, 85 mm and 50 mm and at the angular positions of 45°, 135° and 240° respectively. The planes of unbalanced masses, as well as planes of the countermasses are shown in the figure. Plane C₁ is to be taken as the reference plane and the various distances are to be considered from this plane. Determine the amounts and locations of the counterweights at planes C₁ and C₂ required for complete balance. H 800 200 225 375- 劉 C₂ 240° 3 135° 2 45°1 C₁(RP)

A rotating shaft carries three unbalanced masses of 4 kg, 3 kg, and 2.4 kg at radial distances of 75 mm, 85 mm and 50 mm and at the angular positions of 45°, 135° and 240° respectively. The planes of unbalanced masses, as well as planes of the countermasses are shown in the figure. Plane C₁ is to be taken as the reference plane and the various distances are to be considered from this plane. Determine the amounts and locations of the counterweights at planes C₁ and C₂ required for complete balance. H 800 200 225 375- 劉 C₂ 240° 3 135° 2 45°1 C₁(RP)

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.53P

See similar textbooks

Similar questions

Given that P = 50N, and the rod has mass = 0.370 kg with centroidal mass moment of inertia l = 37/19200 kg-m²:a. Which of the equations given in the second image can be used to solve for the angular acceleration of rod BD?b. What is the angular acceleration of rod BD?
Wind energy is gaining increased attention, generating an increased interest in windmill technology. Because windmill blades (vanes) rotate about a central axis, one of the most important physical properties of a windmill is its moment of inertia. Given is a picture of a typical windmill, where the geometry and center of mass of one of the vanes is illustrated. The mass of each vane is 411 kg. The distance from the center of mass of the vane to axis B is ?1=2.85 m. The distance from the center of mass of the vane to the center of the windmill hub is ?2=4.42 m. If the moment of inertia of a vane about axis A is 445 kg·m2 and about axis B is 10800 kg·m2, calculate the moment of inertia ?total of the entire assembly about the axis that passes through the windmill's hub and is perpendicular to the screen. (Ignore the hub and assume the vanes are flat.)
For the body shown. If point P3 is the center of mass for rod part P1-P2, and point P4 is the center of mass for rod part P3-P5, and P6 is the center of mass of the disk part. Find the mass moment of inertia around axis perpendicular to the page and passes through point P5. Given; L = 1 m, mass density of rod parts = 5 kg / m, mass density of disk = 12 Kg / m?
The figure shows a rotor with three unbalances on it. To the L and R balancing planes given in the figure, to fully balance this rotor. Balancing masses will be placed at a distance of r=40 cm from the rotation axis. Calculate these masses and the angular positions at which they should be placed.
blä 10 A shaft carries three masses A, B and C of magnitude 150 kg, 200 kg and 250 kg respectively and revolving at radii 60 mm, 50 mm and 100 mm. The angles between these masses are A to B 90° andB to C 180°. If the balancing masses revolve at a radius of 100 mm, find their magnitudes and angular positions. All masses rotating in the same * .plane إضافة ملف
A rotor has the following properties. If the shaft is balanced by two counter masses located at 100 mm radii and revolving in Planes midway of planes 1 and 2, and midway of 3 and 4, determine the magnitude of the masses and their respective angular positions. Please Answer with word
5. Consider the disk with a rectangular cutout shown in the figure below. The disk has the dimensions shown and has a thickness of 3 m and a density of 4000 kg/m³. a. Calculate the total mass of the disk. b. Calculate the x and y coordinates of the disk's center of gravity from Point O. C. Calculate the disk's moment of inertia about the z-axis passing through Point O. thickness of 3 m y 10 m ELDI 3 m 6 m
A rotor has the following properties. If the shaft is balanced by two counter masses located at 100 mm radii and revolving in Planes midway of planes 1 and 2, and midway of 3 and 4, determine the magnitude of the masses and their respective angular positions. Please Answer with clear word
Using the Analytical method 1. Find the magnitude and angular position of mass A if mass A revolves at a radius of 180 mm 2. Find the position of planes A and D -ve R.P. B ve 300 - 40 kg D 120% 210 150 50 kg 120 240 B 30 kg
The gear drives a shaft which carries three masses of 4 kg, 3 kg and 2.5 kg, all attached to a circular disc. The masses are located 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 anti-clockwise from the reference line along the x- axis. Analytically determine the amount of the balancing-mass required at a radial distance of 75 mm, in order to achieve static balance of the shaft. Verify this by use of the graphical method.
Four masses A, B, C and D revolve at equal radii and are equally spaced along a shaft. The mass B is 7kg and radii of C & D makes an angle 90 0and 120 0respectively with theradius of B. find magnitude of masses A, C, D and the angular position of A so that systemis to be in completely balancing
The work done by spring is The work done by weight is Polar moment of inertia about B is angular velocity at position 2