- #1
Karol
- 1,380
- 22
Homework Statement
The pulley on the drawing has moment of inertia of I=kMR2.
What's the acceleration.
Homework Equations
[tex]M=I\alpha[/tex]
[tex]F=ma[/tex]
The Attempt at a Solution
[tex]m_1g-T_1=m_1a[/tex]
[tex]T_2-m_2=m_2a[/tex]
[tex]\mbox{ }R\alpha=a[/tex]
[tex](T_1-T_2)R=kMR^2\cdot\alpha[/tex]
all these yield:
[tex]a=\frac{g(m_1+m_2)}{kM+m_1+m_2}[/tex]
While the answer should be:
[tex]a=\frac{g(m_1-m_2)}{kM+m_1+m_2}[/tex]