- #1
nvictor
- 9
- 0
Homework Statement
In the figure
Find the magnitude of the acceleration of the masses and the tension of the cord
Homework Equations
(1) [tex]\sum Fnet = ma[/tex]
(2) [tex]f_k = \mu_k*F_n[/tex]
The Attempt at a Solution
I applied (1) to the first block in the x-direction and then in the y-direction
Found:
[tex]F_n - m_1*g*\sin\theta = 0 (a_y = 0) => F_n = m_1*g*\sin\theta[/tex] [a]
[tex]T - f_k - m_1*g*\cos\theta = m_1*a_x[/tex]
I applied (1) to block 2
[tex]m_2*g - T = m_2*a_y [/tex]
Added [a] to
[tex]m_2*g - f_k - m_1*g*\cos\theta = m_1*a_x + m_2*a_y[/tex]
<=>[tex]m_2*g - \mu_k *m_1*g*\sin\theta - m_1*g*\cos\theta = (m_1+m_2)a[/tex]
<=>[tex]g*\frac{m_2 - \mu_k *m_1*\sin\theta - m_1*\cos\theta}{m_1+m_2}=a[/tex]
What am I doing wrong?