I'm having a hard problem conceptualizing this. It states that an object with a certain Mass M is being spun in a vertical circle. The object attached to a rope, and the object moving in circular path with constant radius. It also give you the velocity of the object. It asks you to find the tension force when the object is sideways. like the diagram blow. Note velocity is constant, object has uniform circular motion.
The actual numbers dont matter to me, the book solves the problem by simply stating that the centripetal force comes from the tension, ignoring gravity, which correct, since gravity provides no force in this case along the radius. Here is where the book absolutely makes no sense, it obtains a tension by using the Fc = mv^2/r. Which is correct, but shouldn't this only be the tension in the x-component. Because a y-component of tension is required to to hold the object.
Thanks in advance.
The Attempt at a Solution
Now my theory is that the object has enough velocity, so that it can mover vertically upwards after coming downwards that the tension force required in y-component is negligible.
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