To find:theequation of the simple hormonic motion of the ball.
Answer to Problem 25CT
The equation of the simple hormonic motion of the ball is
Explanation of Solution
Given:
A ball on a spring that starts at its lowest point of 6 inches below the equilibrium.
The maximum height of the point is 6 inches above the equilibrium and period 2s.
Definition used:
A point that moves on a coordinate line is in simple hormonic motion when its distance d from the origin at time t is given by either
Calculation:
Here, the lowest point of the ball is 6 inches below the equilibrium and maximum height of the point is 6 inches above the equilibrium.
This implies that the amplitude
The period of the ball is 2 seconds.
Thus, the value of
The ball starts from lowest point to maximum point, the amplitude
Substitute
Therefore, the equation of the simple hormonic motion of the ball is
Chapter 4 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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