Finding the acceleration in this force problem

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To find the acceleration of two blocks, one on a frictionless surface and the other on a surface with friction, it's essential to account for all forces acting on each block. The initial attempt to calculate acceleration did not consider the frictional force acting on m2. A standard approach involves drawing Free Body Diagrams for each mass to identify forces and their relationships. The equations of motion must be set up using ΣF=ma for both blocks, incorporating the effects of gravity, friction, and any angles involved. Properly applying these principles will yield the correct acceleration formula for the system.
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Homework Statement


m1 is on a frictionless surface and m2 is on a surface with a coefficient of friction of μ.
Find the acceleration of the blocks in terms of m1, m2, g, Ѳ, μ

Homework Equations


ΣF=a*m

The Attempt at a Solution


a=m2gsinѲ/m1+m2
is this correct??
 

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knewman55 said:
is this correct??
No. What happened to the friction?
 
How would I implement that?
 
knewman55 said:
How would I implement that?
There is a standard way to proceed.
For each rigid body in the system, draw a Free Body Diagram.
Assign variables to all the forces, masses and accelerations on/of each.
Figure out any relationships between the forces on the different masses, likewise their accelerations.
Write out the ΣF=ma equation for each body.
 

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