Solution Found!
Suppose we can change the plane's period of oscillation,
Chapter 13, Problem 104IP(choose chapter or problem)
Problem 104IP
Suppose we can change the plane's period of oscillation, while keeping its amplitude of motion equal to 30.0 m. (a) If we want to reduce the maximum acceleration of the plane, should we increase or decrease the period? Explain. (b) Find the period that results in a maximum acceleration of 1.0g.
Questions & Answers
QUESTION:
Problem 104IP
Suppose we can change the plane's period of oscillation, while keeping its amplitude of motion equal to 30.0 m. (a) If we want to reduce the maximum acceleration of the plane, should we increase or decrease the period? Explain. (b) Find the period that results in a maximum acceleration of 1.0g.
ANSWER:
Solution 104P
Part (a)
Step 1 of 2:
The amplitude of the plane is given and the period is changed during the oscillation. We are going to find the change in maximum acceleration if we change the period.
The expression for the acceleration of oscillatory motion is expressed as
Where ⍵ is the angular speed of the motion
y is the displacement
In the case of maximum amplitude
The relationship between the time period and the angular speed is given by
Therefore
From the above equation, the maximum acceleration is inversely proportional to the time period T and it can be reduced only if we increase the time period T.
Answer: Increase the time period.
Part (b)