3. Figure 3 shows a system consisting of wedge A and block B connected by an inextensible cable that runs around three pulleys. The mass of A is 12 kg and the mass of B is 3 kg. Due to the application of the constant force P = 40 N, wedge A moves to the right causing block B to move up on the wedge. The friction between the wedge A and the horizontal surface is negligible. The kinetic coefficient of friction between A and B is μ = 0.25. If the system is originally at rest (before P was applied), determine the accelerations of wedge A and block B immediately after P is applied. Also, calculate the tension in the cable. == Ans.: a=0.22 m/s² ; 20.3 N B H A 30° P=40 N Figure 3

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.49P
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3. <Problem Due> Figure 3 shows a system consisting of wedge A and block B connected by an
inextensible cable that runs around three pulleys. The mass of A is 12 kg and the mass of B is
3 kg. Due to the application of the constant force P = 40 N, wedge A moves to the right causing
block B to move up on the wedge. The friction between the wedge A and the horizontal surface is
negligible. The kinetic coefficient of friction between A and B is μ = 0.25. If the system is
originally at rest (before P was applied), determine the accelerations of wedge A and block B
immediately after P is applied. Also, calculate the tension in the cable.
Ans.: a=0.22 m/s² <; 20.3 N
B
A
30°
P=40 N
Figure 3
Transcribed Image Text:3. <Problem Due> Figure 3 shows a system consisting of wedge A and block B connected by an inextensible cable that runs around three pulleys. The mass of A is 12 kg and the mass of B is 3 kg. Due to the application of the constant force P = 40 N, wedge A moves to the right causing block B to move up on the wedge. The friction between the wedge A and the horizontal surface is negligible. The kinetic coefficient of friction between A and B is μ = 0.25. If the system is originally at rest (before P was applied), determine the accelerations of wedge A and block B immediately after P is applied. Also, calculate the tension in the cable. Ans.: a=0.22 m/s² <; 20.3 N B A 30° P=40 N Figure 3
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