The two uniform thin discs shown in the figure rest on a horizontal plane and are connected through frictionless pin-joints at A and B by a rigid light rod which remains horizontal. The mass of disc A is 15 kg. and that of disc B is 25 kg. The static coefficients of friction between the plane and discs A and B are, respectively, (u)= 0.2 and (u)=0.55. At the instant shown, a counterclockwise moment T = 125 Nm is applied to disc B. You are required to, The angular acceleration of disc A is a A 1.962 T rad/s counterclockwise. ⚫ The angular acceleration of disc B is a B = 10 rad/s² counterclockwise. • The force developed in the rod AB is approximately 29.43 N.

The two uniform thin discs shown in the figure rest on a horizontal plane and are connected through frictionless pin-joints at A and B by a rigid light rod which remains horizontal. The mass of disc A is 15 kg. and that of disc B is 25 kg. The static coefficients of friction between the plane and discs A and B are, respectively, (u)= 0.2 and (u)=0.55. At the instant shown, a counterclockwise moment T = 125 Nm is applied to disc B. You are required to, The angular acceleration of disc A is a A 1.962 T rad/s counterclockwise. ⚫ The angular acceleration of disc B is a B = 10 rad/s² counterclockwise. • The force developed in the rod AB is approximately 29.43 N.

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.24P: A uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The...

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Question

Validate the pure rolling assumption and if slipping is anticipated, explain with supporting arguments, whether one of the discs will first slip, or both discs will slip at the same time.

The two uniform thin discs shown in the figure rest on a horizontal plane and are
connected through frictionless pin-joints at A and B by a rigid light rod which remains
horizontal. The mass of disc A is 15 kg. and that of disc B is 25 kg. The static
coefficients of friction between the plane and discs A and B are, respectively, (u)=
0.2 and (u)=0.55.
At the instant shown, a counterclockwise moment T = 125 Nm is applied to disc B.
You are required to,

The angular acceleration of disc A is a A
1.962
T
rad/s counterclockwise.
⚫ The angular acceleration of disc B is a B = 10 rad/s² counterclockwise.
• The force developed in the rod AB is approximately 29.43 N.

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