A door stopper spring is flicked from its equilibrium position, and the angular velocity of the plastic end is given by the function: @ (t) = 5e-0.21 sin(4t) 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.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.30P
icon
Related questions
Question
A door stopper spring is flicked from its equilibrium position, and the angular velocity of the plastic end is given by the function:
o (t) = 5e-0.21t sin(4t)
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 flicked from its equilibrium position, and the angular velocity of the plastic end is given by the function: o (t) = 5e-0.21t sin(4t) 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning