A door stopper spring is held at an angle from its equilibrium position and then released, and the angular velocity of the plastic end is given by the function: w (t) = 10e-0.1t cos(5t) 1. Find its angular acceleration function a (t). 2. Find its angular displacement function 0 (t), assuming 0 (0) = 0. 3. If the rotational motion is confined to the xy plane, what is the direction of the acceleration at t=0? Justify your answers with your rationale and equations used.

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A door stopper spring is held at an angle from its equilibrium position and then released, and the angular
velocity of the plastic end is given by the function:
w (t) =
10e-0.1t
cos(5t)
1. Find its angular acceleration function a (t).
2. Find its angular displacement function 0 (t), assuming 0 (0) = 0.
3. If the rotational motion is confined to the xy plane, what is the direction of the acceleration at t=0?
Justify your answers with your rationale and equations used.
Transcribed Image Text:A door stopper spring is held at an angle from its equilibrium position and then released, and the angular velocity of the plastic end is given by the function: w (t) = 10e-0.1t cos(5t) 1. Find its angular acceleration function a (t). 2. Find its angular displacement function 0 (t), assuming 0 (0) = 0. 3. If the rotational motion is confined to the xy plane, what is the direction of the acceleration at t=0? Justify your answers with your rationale and equations used.
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