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FT = m2g - m2a
Tension Equation
a = (m2g - m1g)/(m1+ m2)
Object 1 moving vertically upward and object 2 falling vertically
a = (m2g)/(m1+ m2)
Object 1 sliding across a flat, frictionless table and object 2 falling vertically
a = (m2g - μm1g)/(m1+ m2)
Object 1 sliding across a flat table (with friction) and object 2 falling vertically
a = [m2g - m1gsin(Θ)]/(m1+ m2)
Object 1 sliding up an inclined, frictionless plane and object 2 falling vertically
a = [m2g - μm1gcos(Θ) - m1gsin(Θ)]/(m1+ m2)
Object 1 sliding up an inclined plane (with friction) and object 2 falling vertically