A shaft carries five masses A, B. C, D and E which revolve at the same radius in planes which are equidistant from one another. The magnitude of the masses in planes A, Cand Dare 50 kg. 40 kg and 80 kg respectively. The angle between A and C is 90 and that between C and D is 135. Determine the magnitude of the masses in planes Band E and their positions to put the shaft in complete rotating balance.

A shaft carries five masses A, B. C, D and E which revolve at the same radius in planes which are equidistant from one another. The magnitude of the masses in planes A, Cand Dare 50 kg. 40 kg and 80 kg respectively. The angle between A and C is 90 and that between C and D is 135. Determine the magnitude of the masses in planes Band E and their positions to put the shaft in complete rotating balance.

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.47P: A rifle at A is fired at a target at B. If the speed of the bullet is 1400 ft/s, determine the...

See similar textbooks

Similar questions

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.
Two flywheels are pinned to opposite ends of a metal bar. The smaller flywheel has a mass of 40 kg and a radius of 0.25 m. The larger flywheel has a mass of 275 kg and a radius of 1.75 m. The bar has a mass of 2 kg and a length of 3 m. A wooden plate acts as a ripcord by temporarily pressing it against the flywheels and rapidly translating it to the left at v = angular velocity of 25 rad/s and the large flywheel has an angular velocity of 3.5714285714286 rad/s. The flywheel-bar assembly is then set on frictionless ice such that the axes of rotation are perpendicular to the ice surface. 6.25 m/s. The plate is removed when the small flywheel has an The flywheel pins have Hk = 0.05, which eventually causes the flywheels to stop spinning relative to the metal bar. Angular momentum is conserved, so the whole assembly continues spinning as a rigid body about the center of mass. What is the final angular velocity of the assembly? rad/s. The flywheels and bar rotate about their combined center…
Q3/A shaft carries four masses A, B, C and D of magnitude 20 kg, 30 kg, 40 kg and 20 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 45°, B to C 70° and C to D 120°. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 150 mm, between X and Y is 450 mm and between Y and D is 100 mm. If the balancing masses revolve at a radius of 150 mm, draw the space diagram and find their magnitudes and angular positions of the balancing masses. (
A torque T = 0.30 N-m is applied to a bevel gear B. Bevel gear D meshes with gear B and drives pump A. Gear B has a radius of gyration of 150 mm and a weight of 50 N, whereas gear D and the im- peller of pump A have a combined radius of gy- ration of 50 mm and a weight of 100 N. Find how many revolutions of gear B are needed to get the pump up to 200 rpm from rest. What is the power output of the pump at this speed if it is 90% efficient.
The paint stirrer shown in the figure is made from a rod of length 7b and mass rho per unit length. Before immersion in the paint, the stirrer is rotating freely at a constant high angular velocity w about its z-axis. Determine the bending moment M in the rod at the base O of the chuck.
At the instant shown, the uniform slender rod with mass m = 32 kg is pin-supported at point O. It has dimensions a = 0.24 m and b = 0.70 m. Determine its mass moment of inertia lo (in kg•m2) about the axis that passes point O and is perpendicular to the screen. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. a b M Your Answer: Answer
At the instant shown, the uniform slender rod with mass m = 33 kg is pin-supported at point O. It has dimensions a = 0.22 m and b = 0.49 m. Determine its mass moment of inertia / (in kg.m²) about the axis that passes point O and is perpendicular to the screen. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. a Your Answer: Answer M b
A Dashboard M Events * My Courses da This course The moment of the weight W about the origin O is by definition OD x W. D. W Note sin theta = sin0 %3D mass = 45 kg a = 0.8 m 0= 40°
The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of ? = 55° shown in the figure. Find the tension forces at the strings AB and AC.
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.
The rotor of a turbojet engine of an aircraft has a mass 180 kg and polar moment of intertia 10 kg.m2 about the rotor axis. The rotor rotates at a constant speed of 1100 rad/s in the clockwise direction when viewed from the front of the aircraft. The aircraft while flying at a speed of 800 km per hour takes a turn with a radius of 1.5 km to the left. The gyroscopic moment exerted by the rotor on the aircraft structure and the direction of motion of the nose when the aircraft turns, are
The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of a = 55° shown in the figure. Find the tension forces at the strings AB and AC. B 500g 400 mm 400 mm