Applying Newton's second law
but the net force acting on the marble is
where:
is
the resistive force
is the weight of the marble
combining equations
but remember that
replacing in equation
dividing by m
part A.
speed is terminal when the acceleration is zero, ie.
Expression of terminal velocity
where:
the mass is
the constant
acceleration of gravity
evaluate numerically
The terminal velocity is
Part B
The expression that satisfies the equation
considering
initial velocity
initial time
where:
terminal velocity
time constant
if you want to know when
substituting in the equation
simplifying
expression for t
applying logarithmic properties
evaluate numerically
finally
Part C
the position of the object is equal to
you can write the equation how
organizing
The position is equal to
organizing integrals
solving each integral
considering and
position equation
evaluating in
Please make work legible and clear I want to understand how to do it. Please also...
Please show all work and write neatly so that I can understand. Also please show MATLAB code so I can learn how to do this on my own. Problem 2 Consider a system 0 11 0 -10 T21 T2 T2 a) Design a state-feedback controller so that the closed-loop step response has an overshoot of less than 25% and a 1% settling time under 0.115 sec. b) Usc MATLAB to verify that your design mects the specifications. If it docs...
the question is in last picture. i provided the lab content... I need guidance. thank you. INVESTIGATION 10 ROTATIONAL MOTION OBJECTIVE To determine the moment of inertia I of a heavy composite disk by plotting measured values of torque versus angular acceleration. THEORY Newton's second law states that for translational motion (motion in a straight line) an unbalanced force on an object results in an acceleration which is proportional to the mass of the object. This means that the heavier...