W1 1-13) An industrial robot has to transport a workpiece from the position depicted for t = 0 in the dotted position depicted for t = tÅ. The arm (length L₁ = 1 m), rotationally fixed at the grounding, rotates with constant angular velocity w₁ = 2/s. The second arm with length ↳₂ = 1 m is fixed rotationally on the first arm and carries the workpiece. Determine the constant angular acceleration α₂ relative to L₁ (with the depicted direction of rotation) to reach the position t = ta, assuming that the angular velocity (relative to L₁) at start is w2(t) = 0! Determine velocity v(t) and acceleration a(tå) of the workpiece at time t = të! (either absolute value and direction or horizontal and vertical component) L1 W₂ L₂ α2 t=0 t=tA

Physics for Scientists and Engineers: Foundations and Connections
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Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 35PQ: In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m...
Question
W1
1-13) An industrial robot has to transport a workpiece from the position depicted for t = 0 in the
dotted position depicted for t = tÅ. The arm (length L₁ = 1 m), rotationally fixed at the grounding,
rotates with constant angular velocity w₁ = 2/s. The second arm with length ↳₂ = 1 m is fixed
rotationally on the first arm and carries the
workpiece. Determine the constant angular
acceleration α₂ relative to L₁ (with the depicted
direction of rotation) to reach the position t =
ta,
assuming that the angular velocity (relative to L₁)
at start is w2(t) = 0! Determine velocity v(t) and
acceleration a(tå) of the workpiece at time t = të!
(either absolute value and direction or horizontal
and vertical component)
L1
W₂
L₂
α2
t=0
t=tA
Transcribed Image Text:W1 1-13) An industrial robot has to transport a workpiece from the position depicted for t = 0 in the dotted position depicted for t = tÅ. The arm (length L₁ = 1 m), rotationally fixed at the grounding, rotates with constant angular velocity w₁ = 2/s. The second arm with length ↳₂ = 1 m is fixed rotationally on the first arm and carries the workpiece. Determine the constant angular acceleration α₂ relative to L₁ (with the depicted direction of rotation) to reach the position t = ta, assuming that the angular velocity (relative to L₁) at start is w2(t) = 0! Determine velocity v(t) and acceleration a(tå) of the workpiece at time t = të! (either absolute value and direction or horizontal and vertical component) L1 W₂ L₂ α2 t=0 t=tA
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