Question

Name: 3. (22 pts) Consider the following system when $m_1 = m_2 = 1$ kg, $b_1 = b_3 = 3$ N-s/m, $b_2 = b_4 = 1$ N-s/m, $k_1 = 4$ N/m, $k_2 = 5$ N/m. $k_1$ $x_1(t)$ $x_2(t)$ $k_2$ $m_1$ $m_2$ $f(t)$ $b_1$ $b_3$ $b_2$ $b_4$ (a) Draw free body diagrams for $x_1$ and $x_2$. (6 pts) (b) Determine the equation of motions. (6 pts) (c) Find the transfer function $X_1(s)/F(s)$. Use the Laplace transform (10 pts)

          Name:
3. (22 pts) Consider the following system when $m_1 = m_2 = 1$ kg, $b_1 = b_3 = 3$ N-s/m, $b_2 = b_4 = 1$ N-s/m, $k_1 = 4$ N/m, $k_2 = 5$ N/m.
$k_1$
$x_1(t)$
$x_2(t)$
$k_2$
$m_1$
$m_2$
$f(t)$
$b_1$
$b_3$
$b_2$
$b_4$
(a) Draw free body diagrams for $x_1$ and $x_2$. (6 pts)
(b) Determine the equation of motions. (6 pts)
(c) Find the transfer function $X_1(s)/F(s)$. Use the Laplace transform (10 pts)

Name:
3. (22 pts) Consider the following system when m1 = m2 = 1 kg, b1 = b3 = 3 N-s/m, b2 = b4 = 1 N-s/m, k1 = 4 N/m, k2 = 5 N/m.
k1
x1(t)
x2(t)
k2
m1
m2
f(t)
b1
b3
b2
b4
(a) Draw free body diagrams for x1 and x2. (6 pts)
(b) Determine the equation of motions. (6 pts)
(c) Find the transfer function X1(s)/F(s). Use the Laplace transform (10 pts)

Added by Mireia M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Aparna Shakti

Step 1

For x: - There is a spring force acting to the left with a magnitude of kx(t), where x(t) is the displacement of mass x from its equilibrium position. - There is a damping force acting to the left with a magnitude of bi(t), where bi(t) is the damping coefficient Show more…

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4N/m, k=5N/m, x(t), k^2, mi, ma, x(t), bi, by a) Draw free body diagrams for x and x. 6 pts b) Determine the equation of motion. 6 pts c) Find the transfer function X(s)/F(s). Use the Laplace transform. 10 pts