A, B, C and D are the four masses carried by a shaft in this order. Radii of rotation of the masses are 20 cm, 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 is 220o measured in anticlockwise direction. For complete dynamic balance, find (i) The mass and angular position of A, (ii) The position of planes A and D.

A, B, C and D are the four masses carried by a shaft in this order. Radii of rotation of the masses are 20 cm, 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 is 220o measured in anticlockwise direction. For complete dynamic balance, find (i) The mass and angular position of A, (ii) The position of planes A and D.

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 1.74P: It can be show that a plane area may he represented by a vector A=A, where A is the area and ...

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

A, B, C and D are the four masses carried by a shaft in this order. Radii of rotation of the masses are 20
cm, 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 is
220o measured in anticlockwise direction. For complete dynamic balance, find (i) The mass and angular
position of A, (ii) The position of planes A and D.

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