5. Derive the equation of motion for Example 3 in Lecture 7 using the conservation of...
Using the law of conservation of energy derive the equation of motion for system shown in the Figure. 060
Derive separate formulas for and
using the equation above then calculate and to
have (Peak Time) = 0.2 seconds
and (Overshoot) OS = 15%.
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Pendulum. We discussed in class the equation of motion for the simple pendulum: . Here m is the mass of the bob, is the length of the arm, and is the acceleration of gravity, and is the angle of the arm from away from the vertical. The total energy of the pendulum is a sum of the kinetic and potential terms: a. Draw a picture of the pendulum that shows all of the parameters. b. Show that the equation...
Tutorial Problem Draw the free-body diagram and derive the equation of motion in terms of 0 using Newton's second law of motion of the systems shown in Figure below. Derive the equation of motion using the principle of conservation of energy Pulley, mas moment of inertia at)
Tutorial Problem Draw the free-body diagram and derive the equation of motion in terms of 0 using Newton's second law of motion of the systems shown in Figure below. Derive the equation of...
Could you help answer this question by hand?
Derive the equation of motion of the system shown in Figure Q5b, using the following methods: (0) Newton's second law of motion. (4 marks) D'Alembert's principle. (3 marks) (iii) Principle of conservation of energy. (5 marks) ki k2 000 m Figure Q5b
Derive formula for f'''(a) by differentiating
three times. Choose k = 3 and set
.
derive error term.
Thank you!
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Solve the system by writing a matrix equation, then
solve using the inverse with a calculator.
5. You have 37 coins that are nickels, dimes, and
pennies. The total value of the coins is $1.55. There are twice as
many pennies as dimes. Find the number of each type of coin in the
bank.
Answer: Let n be the number of nickels, d be the number
of dimes, and p be the number of pennies. The system
is
1st equation:...
The speed of an object undergoing 1-dimensional motion is given
by the following equation:
What is the magnitude of the acceleration of the object (in
m/s2) at x = 10 m?
I got this much
But can't figure out how to deal with both variables
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Use the Engineering approach to find the following (assuming:
given): a) derive the
zero-input response of the circuit, b) derive the impulse response
of the circuit, and c) derive the zero-state response to a step
input (You are required to perform convolution by using the
graphical method on this part).
Draw the s-domain circuit (use a current source for the
capacitor initial condition) for the circuit and perform s-domain
analysis to find the following (assuming: given): a) zero-input
response of...
Please help solve this, using the equation
to get through the problem.
Additional information:
where the initial position
, the initial speed
The above differential equation can also be written as:
If
, there is light damping where the solution has the form ( where r
and w are two positive constants)
or
If
there is heavy damping where,
where
and
are two positive constants
If
there is critical damping where,
where r is a positive constant
d'y dy ma...