- #1
david3305
- 9
- 1
- Homework Statement
- Find force F
- Relevant Equations
- m_1 = 5kg, g = 10 m/s^2
The following system is at rest with a block of mass m1 = 5kg, and a force F that is applied to the end of a string attached to the pulley system. Let g, the acceleration due to gravity equal to 10 (for simple calculations).
My analysis is as follows:
I'll first label the strings Tsub1 and Tsub2, and each pulley in red P1 and P2 (in red):
From here I'll make 3 free body diagrams:
m1:
$$\begin{array}{rcl} & T_{1} = gm_{1} = 50N \\ \end{array}$$
then P1:
$$\begin{array}{rcl} &T_{x} = 2T_{1} \end{array}$$
then P2:
$$\begin{array}{rcl} &T_{x} = 2T_{2} \end{array}$$
From these equations we have that
$$\begin{array}{rcl} &T_{1} = T_{2} \end{array}$$
and therefore
$$\begin{array}{rcl} &T_{1} = T_{2} = F = 50N \end{array}$$
My analysis is as follows:
I'll first label the strings Tsub1 and Tsub2, and each pulley in red P1 and P2 (in red):
From here I'll make 3 free body diagrams:
m1:
$$\begin{array}{rcl} & T_{1} = gm_{1} = 50N \\ \end{array}$$
then P1:
$$\begin{array}{rcl} &T_{x} = 2T_{1} \end{array}$$
then P2:
$$\begin{array}{rcl} &T_{x} = 2T_{2} \end{array}$$
From these equations we have that
$$\begin{array}{rcl} &T_{1} = T_{2} \end{array}$$
and therefore
$$\begin{array}{rcl} &T_{1} = T_{2} = F = 50N \end{array}$$
Last edited by a moderator:
