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

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The discussion revolves around a homework assignment involving a pulley system with two objects connected by a string over a frictionless pulley. The key points include the need to draw Free Body Diagrams for both objects to analyze forces acting on them, specifically gravity and tension. The inclination angle of 55 degrees is crucial for calculating the components of the gravitational force acting on the objects. It is confirmed that both objects will have the same magnitude of acceleration but in opposite directions due to their connection through the string. Understanding these dynamics is essential for solving for acceleration, tension, and speed after a given time.
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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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