An object attached to a spring vibrates with simple harmonic motion as described by the figure below. (a) For this motion, find the amplitude.  cm (b) For this motion, find the period.  s (c) For this motion, find the angular frequency.  rad/s

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An object attached to a spring vibrates with simple harmonic motion as described by the figure below.

(a) For this motion, find the amplitude.
 cm

(b) For this motion, find the period.
 s

(c) For this motion, find the angular frequency.
 rad/s

(d) For this motion, find the maximum speed.
 cm/s

(e) For this motion, find the maximum acceleration.
 cm/s2

The image displays a sinusoidal wave graph with the horizontal axis labeled as \( t \) (s) and the vertical axis labeled as \( x \) (cm). 

- The graph represents a periodic function extending over one complete cycle from \( t = 0 \) to \( t = 6 \) seconds.
- The wave oscillates between \( x = 2.00 \) cm and \( x = -2.00 \) cm.
- Key points on the graph are marked by black dots at \( t = 0, 1, 2, 3, 4, 5, \) and \( 6 \) seconds.
- At \( t = 0 \), \( t = 3 \), and \( t = 6 \), the wave crosses the horizontal axis where \( x = 0 \), indicating equilibrium positions.
- Maximum peaks occur at \( t = 1 \) and \( t = 5 \), where \( x = 2.00 \) cm.
- Minimum troughs occur at \( t = 3 \), where \( x = -2.00 \) cm.
- The wave is smooth and follows a consistent pattern typical of sine or cosine functions.

This graph could be used to demonstrate concepts such as wave motion, periodic functions, or simple harmonic motion.
Transcribed Image Text:The image displays a sinusoidal wave graph with the horizontal axis labeled as \( t \) (s) and the vertical axis labeled as \( x \) (cm). - The graph represents a periodic function extending over one complete cycle from \( t = 0 \) to \( t = 6 \) seconds. - The wave oscillates between \( x = 2.00 \) cm and \( x = -2.00 \) cm. - Key points on the graph are marked by black dots at \( t = 0, 1, 2, 3, 4, 5, \) and \( 6 \) seconds. - At \( t = 0 \), \( t = 3 \), and \( t = 6 \), the wave crosses the horizontal axis where \( x = 0 \), indicating equilibrium positions. - Maximum peaks occur at \( t = 1 \) and \( t = 5 \), where \( x = 2.00 \) cm. - Minimum troughs occur at \( t = 3 \), where \( x = -2.00 \) cm. - The wave is smooth and follows a consistent pattern typical of sine or cosine functions. This graph could be used to demonstrate concepts such as wave motion, periodic functions, or simple harmonic motion.
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