- #1

Zipzap

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**"Non-Uniform Circular Motion" problem**

## Homework Statement

A ball swings in a vertical circle at the end of a rope 1.50 m

long. When the ball is 36.9° past the lowest point on its

way up, its total acceleration is (-22.5 i + 20.2j) m/s^2. At

that instant, (a) sketch a vector diagram showing the components

of its acceleration, (b) determine the magnitude

of its radial acceleration, and (c) determine the speed and

velocity of the ball.

## Homework Equations

a = v^2 / r

a(total) = a(tangent) + a(radial)

## The Attempt at a Solution

For starters, I don't even know how to approach a), in all honesty. Since the problem doesn't tell me in which direction the rope is spinning, I don't know where to start. However, I have a feeling that the problem doesn't need to tell me this based on the information regarding total acceleration.

Also, even though the total acceleration is expressed in that format, I seriously doubt that the unit vectors are a

_{r}and a

_{t}. If I knew how to draw this, I'll probably be able to figure out the rest of the problem...