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Homework Statement
Objective:
1. For a twoarm manipulator, use complexnumber method to derive the displacement, velocity and acceleration equations for the tracing point P.
2. For a twoarm manipulator, use complexnumber method to derive the displacement, velocity and acceleration equations for the center of gravity for each arm assuming it is located halfway between the joints.
3. Construction graphical solutions for 3 positions.
Homework Equations
The arm lengths are 1" each. angular velocity: ω=1rad/s, angular acceleration: α=1rad/s^2
The Attempt at a Solution
I get a little lost in the algebra.
So far I have a*e^(i*theta) + b*e^(i*phi) = x + i*y
I separated into real and imaginary:
Real: a*cos(theta)+b*cos(theta)=x
After dividing by i...I get:
Imaginary: a*(sin(phi)) +b*sin(phi) = y
Then I'm not sure what to do.
Thanks,
D
p.s. If anyone knows how to model this in either matlab or excel...please email me!
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