An 0.10 kg object is hanging from your rearview mirror. While you are accelerating 4.0 m/s2 the string makes an angle with the vertical. There is a weight force going down and tension force along the string. What is the tension force and the angle?

Answer 1

Let the tension force be T and the angle be A. Vertical and horizontal force balance equations tell you thatL

T cos A = m g
T sin A = m a

Divide the secnd equation by the first.

tan A = a/g

a = artan a/g

Now solve for T
Hint: Add the squares of each of the first two equations

Answer 2

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