1.5 The nonlinear dynamic equations for a single-link manipulator with flexible joints [185], damping ignored, is given by Iĝı + MgL sin q1 + k(q1 - 92) = Jä2 – k(q1 - 92) where q1 and q2 are angular positions, I and J are moments of inertia, k is a spring constant, M is the total mass, L is a distance, and u is a torque input. Choose state variables for this system and write down the state equation.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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1.5 The nonlinear dynamic equations for a single-link manipulator with flexible
joints [185], damping ignored, is given by
Iĝı + MgL sin q1 + k(q1 - 92) =
Jä2 - k(q1 - 92)
where q1 and q2 are angular positions, I and J are moments of inertia, k is a spring
constant, M is the total mass, L is a distance, and u is a torque input. Choose
state variables for this system and write down the state equation.
Transcribed Image Text:1.5 The nonlinear dynamic equations for a single-link manipulator with flexible joints [185], damping ignored, is given by Iĝı + MgL sin q1 + k(q1 - 92) = Jä2 - k(q1 - 92) where q1 and q2 are angular positions, I and J are moments of inertia, k is a spring constant, M is the total mass, L is a distance, and u is a torque input. Choose state variables for this system and write down the state equation.
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