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**1.
**

What tangential speed, v, must the bob have so that it moves in a horizontal circle with the string always making an angle theta from the vertical?

Express your answer in terms of some or all of the variables m, L, and theta, as well as the acceleration due to gravity g.

What tangential speed, v, must the bob have so that it moves in a horizontal circle with the string always making an angle theta from the vertical?

Express your answer in terms of some or all of the variables m, L, and theta, as well as the acceleration due to gravity g.

**2. I figured out the following:**

T = mg/cos(theta)

r = Lsin(theta)

a_c = v^2/Lsin(theta)

T = mg/cos(theta)

r = Lsin(theta)

a_c = v^2/Lsin(theta)

**3. see above**

I next had to get the horizontal (inward radial) force, which is mgtan(theta). How was that force obtained? Also, how do I use this information to answer the question?

I next had to get the horizontal (inward radial) force, which is mgtan(theta). How was that force obtained? Also, how do I use this information to answer the question?