Please answer all the parts, show all work and explain the components. I will gi

Question

Please answer all the parts, show all work and explain the components. I will give you a thumbs up.
3. A pendulum bob of mass m is attached to a light string of length L. The string n a small angle 8, with the vertical and then the bob is released with an initial e as in the diagram. (Assume there is no friction or air resistance.) velocity (a) What is the period of the bob's oscillation? [1pt) (b) What is the bob's initial angular speed? (1pt] (c) Assume that the bob's motion can be described by (t-Pnax cos(wot+o) Find expressions for a 0, emax, and . [8pts]

Explanation / Answer

a) period of bob oscillation =   2pi * sqrt(L/g)

b) bob initial angular speed =   v/L

c)    Here, wo = sqrt(g/L)

=> (theta)max =   v2/Lg

=>    =   90 degree

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