2-9) The in M rotationally mounted bar 1 (L1 = AM = 50 mm, ß = 53.13°) rotates with constant angular velocity w₁ = 10 rad/s. Bar 2 (L₂ = BC = 25 mm) is mounted in the floating bearing C and rotates with constant angular velocity w₂ = 40 rad/s. Both bars are connected by rod 3, which is mounted in the swivel joints A and B (L3 = AB = 200 mm). a) Determine the velocities VA, VB and Vc as well as the A angular velocity w3 of rod 3! b) Determine the accelerations aд, aв and ac as well as the angular acceleration α3 of rod 3! W3, α3 B W₂ W1 VC M ас

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 15PQ
Question
2-9) The in M rotationally mounted bar 1 (L1 = AM = 50 mm, ß = 53.13°) rotates with constant angular
velocity w₁ = 10 rad/s. Bar 2 (L₂ = BC = 25 mm) is mounted in the floating bearing C and rotates
with constant angular velocity w₂ = 40 rad/s. Both bars are connected by rod 3, which is mounted
in the swivel joints A and B (L3 = AB = 200 mm).
a) Determine the velocities VA, VB and Vc as well as the A
angular velocity w3 of rod 3!
b) Determine the accelerations aд, aв and ac as well as
the angular acceleration α3 of rod 3!
W3, α3
B
W₂
W1
VC
M
ас
Transcribed Image Text:2-9) The in M rotationally mounted bar 1 (L1 = AM = 50 mm, ß = 53.13°) rotates with constant angular velocity w₁ = 10 rad/s. Bar 2 (L₂ = BC = 25 mm) is mounted in the floating bearing C and rotates with constant angular velocity w₂ = 40 rad/s. Both bars are connected by rod 3, which is mounted in the swivel joints A and B (L3 = AB = 200 mm). a) Determine the velocities VA, VB and Vc as well as the A angular velocity w3 of rod 3! b) Determine the accelerations aд, aв and ac as well as the angular acceleration α3 of rod 3! W3, α3 B W₂ W1 VC M ас
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