A shaft with 3 meters span between two bearings carries three masses of 10 kg, 20 kg and 15 acting at the extremities of the arms 45 mm, 60 mm and 50 mm long respectively. The planes in which these masses rotate are 1.2 m, 2.4 m and 3 m respectively from the left end bearing supporting the shaft. The angle between the arms is 60°. The speed of rotation of the shaft is 50 rp.m. If the masses are balanced by two counter-masses rotating with the shaft acting at radii of 0.03 m and placed at 0.2 m from each bearing centers, estimate the magnitude of the two balance masses and their orientation with respect to the X-axis, i.e., mass, of 10 kg. Q2)

A shaft with 3 meters span between two bearings carries three masses of 10 kg, 20 kg and 15 acting at the extremities of the arms 45 mm, 60 mm and 50 mm long respectively. The planes in which these masses rotate are 1.2 m, 2.4 m and 3 m respectively from the left end bearing supporting the shaft. The angle between the arms is 60°. The speed of rotation of the shaft is 50 rp.m. If the masses are balanced by two counter-masses rotating with the shaft acting at radii of 0.03 m and placed at 0.2 m from each bearing centers, estimate the magnitude of the two balance masses and their orientation with respect to the X-axis, i.e., mass, of 10 kg. Q2)

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 9.94RP: The properties of the unequal angle section are Ix=80.9in.4,Iy=38.8in.4, and Iu=21.3in.4. Determine...

See similar textbooks

Similar questions

The properties of the unequal angle section are Ix=80.9in.4,Iy=38.8in.4, and Iu=21.3in.4. Determine Ixy.
A shaft has three eccentric of mass 1 kg each. The central plane of the eccentrics is 50 mm apart. The distances of the centers from the axis of rotation are 20, 30 and 20 mm and their angular positions are 120 apart. If the shaft is balanced by adding two masses at a radius of 70 mm and at a distance 100 mm from the central plane of the middle eccentric, find the amount of the masses and their angular positions.
Q4:-A rotating shaft carries four masses 176.6 N, 137.3 N, 157 N and 117 N at radii 5 cm, 6 cm, 7 cm and 6 cm respectively. The second, third and fourth masses revolve in planes 8 cm, 16 cm and 28 cm respectively measured from the plane of the first mass (at the left end). They are angularly located at 60°, 135° and 270° respectively measured clockwise from the first mass (at the positive x-axis). The shaft is dynamically balanced by two masses both located at 5 cm radii and revolving in planes midway between those of 1st and 2nd masses and midway between those of 3rd and 4th masses. Determine the magnitude of the masses and their respective angular positions.
A shaft carries four masses A, B, C and D with a a magnitude of 200kg, 300kg, 400 kg and 200 kg respectively and revolving at radii 80mm, 70mm, 60mm and 80mm in planes measured from A at 300mm, 400mm and 700mm. The angles between the cranks measured counter clockwise are A to B 450, B to C 700 and C o D 1200. The balancing masses are to be placed in planes X and Y. Distance between planes A and X is 100mm, between X and Y is 400mm and between Y and D is 200mm. If the balancing masses revolve at radius of 100mm find their magnitude and angular position
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.
Q4:-A rotating shaft carries four masses 176.6 N, 137.3 N, 157 N and 117 N at radii 5 cm, 6 cm, 7 cm and 6 cm respectively. The second, third and fourth masses revolve in planes 8 cm, 16 cm and 28 cm respectively measured from the plane of the first mass (at the left end). They are angularly located at 60o, 135oand 270orespectively measured clockwise from the first mass (at the positive x-axis). The shaft is dynamically balanced by two masses both located at 5 cm radii and revolving in planes midway between those of 1st and 2nd masses and midway between those of 3rd and 4th masses. Determine the magnitude of the masses and their respective angular positions.
A rotating shaft carries four masses A, B, C and D which are radially attached to it. The mass centres are30 mm, 38 mm, 40 mm and 35 mm respectively from the axis of rotation. The masses A, C and D are 7.5kg, 5 kg and 4 kg respectively. The axial distance between the planes of rotation of A and B is 400 mmand between B and C is 500 mm. The masses A and C are at right angles to each other. Find for acomplete balance; determine (a) the angles between the masses B and D from A, (b) the axial distancebetween the planes of rotation of C and D, (c) the magnitude of mass B.
A riveting machine is driven by a 4 kW motor. The moment of inertia of the rotating parts of the machine is equivalent to 140 kg-m2 at the shaft on which the flywheel is mounted. At the commencement of operation, the flywheel is making 240 r.p.m. If closing a rivet occupies 1 second and consumes 10 kN-m of energy, find the reduction of speed of the flywheel. What is the maximum rate at which the rivets can be closed?
A riveting machine is used for riveting sheets of 20 mm thickness. The machine is driven by a geared motor of 5 kW. The mass moment of inertia of the rotating parts of the machine attached to flywheel is found to be 10 kg- m². At the beginning of the operation, the flywheel is making 15 r.p.s. If making one rivet takes 30 KN-m of energy in 5 second, then find the reduction of speed of the flywheel
Consider a wheel with four spokes as shown below. The radius of wheel is r = 0.18 m. The mass of the circumferential part is 0.7 kg, and the mass of each spoke is 0.12 kg. If one of the spokes is removed, calculate the distance (in mm) between the old and new center of mass locations. r
A shaft with 3 meters span between two bearings carries two masses of 120 g and 100 g acting at the extremities of the arms 40 mm and 50 mm long respectively. The planes in which these masses rotate are 1.5 m and 2.5 m respectively from the left end bearing supporting the shaft. The angle between the arms is 120°. The speed of rotation of the shaft is 200 r.p.m. If the masses are balanced by two counter-masses rotating with the shaft acting at radii of 0.3 m and placed at 0.5 m from each bearing centers, estimate the magnitude of the two balance masses and their orientation with respect to the X-axis, i.e. mass of 120 g.
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 ..