- #1
FaraDazed
- 347
- 2
Homework Statement
Block 1, of mass [itex]m_1 =2.6[/itex]kg and block 2 of mass [itex]m_2=1.4[/itex]kg are connected by a massless string. Block 2 then experiences a force [itex]F=18[/itex]N acting in the postivive x direction and at an angle of [itex]\theta = 38°[/itex] . The coefficiant of kinetic friction between the floor and both of the blocks is 0.24.
What is the tension in the string?
Homework Equations
[itex]F_{net}=ma \\
F_f = \mu_k F_N
[/itex]
The Attempt at a Solution
Before I did anything else, as standard, drew a diagram.
Then found the normal force acting on block 2...
[itex]
F_{N_2} =m_2 g + F \sin{\theta} \\
F_{N_2} = (1.4)(9.81) + (18) \sin{38} = 24.8N
[/itex]
Then I tried to find the tension by doing...
[itex]
T=F \cos{\theta} - \mu_k (F_{N_1} + F_{N_2}) \\
T=F \cos{\theta} - \mu_k (m_1 g +24.8) \\
T=(18) \cos{38} - 0.24(2.6(9.81)+24.8) = 2.11 N
[/itex]
I do not think I have done this correctly so would appreciate any feedback/advice, thanks :)