Which of the following statements describing simple harmonic motion of a block-spring systemis NOT correct: (see picture attached). What is the correct answer, and why is it correct? ### Fundamental Principles of Harmonic MotionA. **Total Energy Conservation:** \[ E = \frac{1}{2}kA^2 \] This formula represents the total energy \(E\) in a system where \(k\) is the spring constant and \(A\) is the amplitude. This implies that the total energy remains constant throughout the motion.B. **Hooke's Law:** \[ F = -kx \] This equation describes the force \(F\) applied to a spring in terms of its displacement \(x\), where \(k\) is the spring constant. It indicates that the force is proportional and opposite to the displacement, following Hooke's Law.C. **Angular Frequency:** \[ \omega = \sqrt{\frac{k}{m}} \] Here, the angular frequency \(\omega\) is determined by the spring constant \(k\) and mass \(m\). This relationship shows how the angular frequency depends on these parameters.D. **Period and Frequency:** \[ T = \frac{1}{f} \] The period \(T\) is inversely related to the frequency \(f\), implying that the period is directly proportional to the inverse of the frequency, governed by the formula. Here, \(T = 2\pi f\) is incorrect in reality.These equations and principles are essential in understanding the dynamics of simple harmonic motion in physics.

Name: Which of the following statements describing simple harmonic motion of
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Description: Which of the following statements describing simple harmonic motion of a block-spring systemis NOT correct: (see picture attached). What is the correct answer, and why is it correct? ### Fundamental Principles of Harmonic MotionA. **Total Energy Cons

Here it should be w= 2πf , but given T=2πf

Answered: Which of the following statements…

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Which of the following statements describing simple harmonic motion of a block-spring system
is NOT correct: (see picture attached). What is the correct answer, and why is it correct?

### Fundamental Principles of Harmonic Motion

A. **Total Energy Conservation:**
\[
E = \frac{1}{2}kA^2
\]
This formula represents the total energy \(E\) in a system where \(k\) is the spring constant and \(A\) is the amplitude. This implies that the total energy remains constant throughout the motion.

B. **Hooke's Law:**
\[
F = -kx
\]
This equation describes the force \(F\) applied to a spring in terms of its displacement \(x\), where \(k\) is the spring constant. It indicates that the force is proportional and opposite to the displacement, following Hooke's Law.

C. **Angular Frequency:**
\[
\omega = \sqrt{\frac{k}{m}}
\]
Here, the angular frequency \(\omega\) is determined by the spring constant \(k\) and mass \(m\). This relationship shows how the angular frequency depends on these parameters.

D. **Period and Frequency:**
\[
T = \frac{1}{f}
\]
The period \(T\) is inversely related to the frequency \(f\), implying that the period is directly proportional to the inverse of the frequency, governed by the formula. Here, \(T = 2\pi f\) is incorrect in reality.

These equations and principles are essential in understanding the dynamics of simple harmonic motion in physics.

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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