How Does Inclination Angle Affect Tension and Acceleration in a Pulley System?

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SUMMARY

The discussion focuses on analyzing a pulley system with two masses, m1=2kg and m2=6kg, connected by a light string over a frictionless pulley at an inclination angle of 55 degrees. The key calculations involve determining the accelerations of both objects, the tension in the string, and the speed of each object after 2 seconds of release. It is established that the acceleration for both objects is the same in magnitude but opposite in direction, and the angle theta is crucial for resolving forces in the Free Body Diagram.

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physixnot4me
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This is the question I was given a homework assignment:

2) Two objects are connected by a light string that passes over a frictionless pulley. Draw a Free Body Diagram of both objects. If the inclide is frictionless and if m1= 2kg, m2=6kg and angle theta=55 degrees, find:
(a) the accelerations of the objects
(b) the tension in the string
(c) the speed of each object 2 sec after being released from rest.

**my question is: is the acceleration for both objects the same, just different directions?**

how do you incorporate the theta 55 degrees into this question?
 

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Your question would be answered if you drew the free body diagram for each block separately. For example, the spherical object has a force of gravity pulling down and a tension force pulling up. Do the same for the square block and from there you can solve for each required parameter.
 

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