2-D Motion Problem with 2 masses attached by a string.

Also, I'm not sure what you mean by "θFo". With these confusions, I don't feel comfortable providing a summary. Can you please clarify what you are trying to do and maybe provide a clear attempt at the solution?
  • #1
slavik12
1
0

physicsproblem.png


1. Homework Statement
Two blocks of masses m1 = 3.7 kg and m2 = 3.3 kg are connected by a string as shown in the figure above. The horizontal surface is frictionless. A 15 N force directed at 18 degrees above the horizontal acts on m2.
Determine the acceleration of the blocks and the tension in the string.

Homework Equations


m1=3.7kg
m2=3.3kg
F= 15N
θFo=18°
Ff=0

The Attempt at a Solution



Snapshot.jpg

Wm2= 9.8m/s^2x3.3kg = 32.34N

∑Fx= m⋅ax

-Fx+M1 =m⋅ax
-(cos 18°⋅15N)+M1 = 3.3kg⋅-ax
-14.26N+M2 =3.3kg⋅-ax
ax+M1 =4.321 m/s2

∑Fy=m⋅ay

+Fy+FN -Wm2 =m⋅ay

I'm kind of stuck after this..
 
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  • #2
Where's your FBD for mass m1?

Your nomenclature is kind of confusing. You use M1 for the tension force and there is also an m1 mass. Then you switch back and forth between M1 and M2 which I assume is just a typo.
 

FAQ: 2-D Motion Problem with 2 masses attached by a string.

1. What is 2-D motion problem with 2 masses attached by a string?

The 2-D motion problem with 2 masses attached by a string is a physics problem that involves two objects connected by a string and moving in two dimensions. The motion of the objects is affected by the tension in the string and other external forces.

2. How do you solve a 2-D motion problem with 2 masses attached by a string?

To solve a 2-D motion problem with 2 masses attached by a string, you first need to draw a free-body diagram for each object. Then, you can use Newton's second law of motion to set up equations and solve for the unknown variables, such as acceleration and tension in the string.

3. What are some common mistakes made when solving 2-D motion problems with 2 masses attached by a string?

One common mistake is forgetting to consider the direction of the forces in the equations. Another mistake is not properly accounting for the tension in the string, which can lead to incorrect solutions. It is also important to check the units of the variables to ensure they are consistent throughout the calculations.

4. How do you determine the direction of motion for each mass in a 2-D motion problem with 2 masses attached by a string?

The direction of motion for each mass can be determined by considering the direction of the net force acting on the mass. If the net force is in the same direction as the velocity, the mass will speed up. If the net force is in the opposite direction, the mass will slow down. If the net force is perpendicular to the velocity, the mass will change direction.

5. What real-life scenarios can be modeled using the 2-D motion problem with 2 masses attached by a string?

The 2-D motion problem with 2 masses attached by a string can be used to model various scenarios, such as a pendulum swinging back and forth, a person on a swing, or a satellite orbiting around a planet. It can also be applied to more complex situations, such as a rollercoaster or a crane lifting objects.

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