Acceleration of Connected Objects Homework

[stressedout09]

Homework Statement

Two blocks are connected by a string, as shown in the figure . The smooth inclined surface makes an angle of 35degrees with the horizontal, and the block on the incline has a mass of 5.7kg. The mass of the hanging block is m = 2.8 kg. Find the magnitude of the hanging block's acceleration.

Homework Equations

a=m(hanging)g-Fg(plane)sintheta+m(plane)gcostheta/m(both)

The Attempt at a Solution

a=(9.8m/s^2)[2.8kg-(5.7kg*sin35degrees)+(5.7kg*cos35degrees)]/(5.7kg+2.8kg)

 

[kuruman]

I don't know where you got the equation that you say is relevant, but it doesn't look right.

You need to draw two free body diagrams, one for each mass. Add all the forces vectorially in each free body diagram. This gives you the net force acting on each mass. Set the net force equal to mass times acceleration. You will end up with two equations and two unknowns. The unknowns are the tension T and the acceleration a. Solve for the tension in terms of a in one of the equations. Put that in the second equation to get a.

 

[tomcue]

= 1.96m/s^2

I would first confirm that the given information and equations are correct and applicable to the situation. The attempt at a solution seems to follow the correct steps, using the equations for acceleration and forces. However, it would be important to clarify the direction of the acceleration and to label the forces involved in the diagram. Additionally, I would suggest checking for any potential errors or simplifications made in the calculation, and perhaps providing a diagram or explanation of the physical concept behind the solution.