A Diving Board Oscillates With Simple Harmonic?

A diving board exhibits simple harmonic motion when a person jumps onto it, bending downward due to their weight. This bending creates a restoring force that pulls the board back up to its original position. The board moves up and down in a sinusoidal pattern, exhibiting simple harmonic motion. This motion is caused by gravity and the board’s elasticity, and can be described by a mathematical equation.

A diving board’s stiffness can be adjusted to increase its vibrating speed and reduce its period. The period also depends on the mass of the oscillating system. For example, a diver with a mass of 55.0 kg has a period of 0.800 seconds, while a male diver has a period of 0.800 seconds.

A diving board oscillates with simple harmonic motion at a frequency of 2.5 cycles per second. The maximum amplitude with which the end of the board can oscillate depends on the specific conditions. For example, a diver with a mass of 55.0 kg has a period of 0.800 seconds, while a male diver has a period of 0.800 seconds.

In simple harmonic motion, the maximum amplitude for a pebble placed on a diving board is determined by the board’s acceleration rate. If the board accelerates at a rate greater than g, the pebble will lose contact with the board. Since the board follows simple harmonic motion, the pebble will lose contact with the board.

What does it mean when an oscillation exhibits simple harmonic motion?

Simple harmonic motion is characterized as an oscillation around an equilibrium point. The SHM meaning is graphically represented using a sine or a cosine wave, and it is possible to describe SHM using traditional wave attributes such as frequency, amplitude, and wavelength.

When an object is oscillating in simple harmonic motion?

An object is said to perform a simple harmonic motion if the magnitude of the restoring force acting on the object is proportional to the distance of the object from the equilibrium position and opposite in direction. Therefore, at the maximum displacement, the restoring force will also be maximum.

What are everyday examples of simple harmonic motion?

Motion that repeats in a regular pattern over and over again is called periodic motion. As we will come to appreciate, periodic motion is crucial to the production of musical tones. However, to begin our analysis we look at the most basic type of periodic motion calledsimple harmonic motion.Simple harmonic motion occurs in a myriad of different forms in the everyday world; for example, a person bouncing on the end of a diving board, a child in a swing, or your cousin’s funky car (you know the one with no shocks) that bounces down the road like a low-rider every time you hit a bump.

Physicists like simple harmonic motion (let’s begin abbreviating it SHM) because every example of SHM is based on the same underlying physical principleandall examples of SHM have the same, very straightforward, mathematical description.

What is the physical principle? SHM occurs around an equilibrium position when a mass is subject to alinear restoring force. A linear restoring force is one that gets progressively larger with diplacement from the equilibrium position. The best example of this is a spring. The more you stretch a spring the larger the force trying to get the spring back to its original shape.

What are the conditions for an object to oscillate with SHM?

Correct option is B. Elasticity as well as inertiaBasic conditions to execute simple harmonic motion are: (i) There must be an elastic restoring force acting on the system, (ii) the system must have inertia, and (iii) the acceleration of the system should be directly proportional to its displacement and is always directed to mean position.

What oscillates with simple harmonic motion?

For instance, Have you seen a pendulum? When we swing it, it moves to and fro along the same line. These movements areoscillations. Oscillations of a pendulum are an example of simple harmonic motion.

Now, consider there is a spring that is fixed at one end. When there is no force applied to it, it is at its equilibrium position. Now,

• If we pull it outwards, there is a force exerted by the string that is directed towards the equilibrium position
• And, if we push the spring inwards, there is a force exerted by the string towards the equilibrium position

In each case, we can see that the force exerted by the spring is towards the equilibrium position, this force is called the restoring force. Now, let the force be F and the displacement of the string from the equilibrium position be x.

What are some real world examples of simple harmonic oscillators?

Application of Simple Harmonic MotionClock.Musical Instruments.Car Shock Absorbers.Bungee Jumping.Diving Board.The Process of Hearing.Metronome.Earthquake-proof buildings.

The motion of an object that moves to and fro about a mean position along a straight line is called simple harmonic motion. A pendulum undergoes simple harmonic motion. It swings to and fro about its mean position where the string and the bob undergo the motion. These movements of pendulums are called oscillations, which show simple harmonic motion.

Let us consider a spring that is fixed at one end. If no force is applied to the spring, it remains in the equilibrium position. Now,

If we pull the spring outwards, a restoring force is generated on the spring, which pulls it inwards towards the equilibrium position.

Is a diving board an example of simple harmonic motion?

A diver on a diving board is undergoing simple harmonic motion. Her mass is 55.0 kg and the period of her motion is 0.800 s. The next diver is a male whose period of simple harmonic oscillation is 1.05 s.

Learning Objectives. By the end of this section, you will be able to:

• Describe a simple harmonic oscillator.
• Explain the link between simple harmonic motion and waves.

The oscillations of a system in which the net force can be described by Hooke’s law are of special importance, because they are very common. They are also the simplest oscillatory systems. Simple Harmonic Motion (SHM) is the name given to oscillatory motion for a system where the net force can be described by Hooke’s law, and such a system is called a simple harmonic oscillator. If the net force can be described by Hooke’s law and there is no damping (by friction or other non-conservative forces), then a simple harmonic oscillator will oscillate with equal displacement on either side of the equilibrium position, as shown for an object on a spring in Figure 1. The maximum displacement from equilibrium is called the amplitude X. The units for amplitude and displacement are the same, but depend on the type of oscillation. For the object on the spring, the units of amplitude and displacement are meters; whereas for sound oscillations, they have units of pressure (and other types of oscillations have yet other units). Because amplitude is the maximum displacement, it is related to the energy in the oscillation.

What is an example of a simple harmonic oscillation?

Some examples of simple harmonic motion are as follows:

• Oscillating pendulum.
• The vibration of the eardrum.
• The motion of a spring.
• Swing in the park.
• Spring-mass system.

An illustrative diagram of simple harmonic motion in the oscillating pendulum is given below.

What are 3 examples of oscillations?

Following are the examples of oscillatory motion:Oscillation of simple pendulum.Vibrating strings of musical instruments is a mechanical example of oscillatory motion.Movement of spring.Alternating current is an electrical example of oscillatory motion.Series of oscillations are seen in cosmological model.

The motion that repeats itself after fixed intervals of time is called periodic motion. We know that oscillatory motion is a type of periodic motion. In this session, let us know in detail about the oscillatory motion along with some examples.

• What is Oscillatory Motion?
• Examples of Oscillatory Motion
• Simple Harmonic Motion
• Difference Between Oscillatory Motion and Periodic Motion
• Frequently Asked Questions – FAQs

What is Oscillatory Motion?. Oscillatory motion is defined as the to and fro motion of an object from its mean position. The ideal condition is that the object can be in oscillatory motion forever in the absence of friction but in the realworld, this is not possible and the object has to settle into equilibrium.

What objects move in simple harmonic motion?

Examples: Mass attached to a spring on a frictionless table, a mass hanging from a string, a simple pendulum with a small amplitude of motion. All of these examples have frequencies of oscillation that are independent of amplitude.

Learning Objectives. By the end of this section, you will be able to:

• Define the terms period and frequency
• List the characteristics of simple harmonic motion
• Explain the concept of phase shift
• Write the equations of motion for the system of a mass and spring undergoing simple harmonic motion
• Describe the motion of a mass oscillating on a vertical spring

When you pluck a guitar string, the resulting sound has a steady tone and lasts a long time ((Figure)). The string vibrates around an equilibrium position, and one oscillation is completed when the string starts from the initial position, travels to one of the extreme positions, then to the other extreme position, and returns to its initial position. We define periodic motion to be any motion that repeats itself at regular time intervals, such as exhibited by the guitar string or by a child swinging on a swing. In this section, we study the basic characteristics of oscillations and their mathematical description.

What are two conditions for an oscillatory motion to be considered simple harmonic?

What conditions must be met to produce SHM? The restoring force must be proportional to the displacement and act opposite to the direction of motion with no drag forces or friction. The frequency of oscillation does not depend on the amplitude.

Learning Objectives. By the end of this section, you will be able to:

• Define the terms period and frequency
• List the characteristics of simple harmonic motion
• Explain the concept of phase shift
• Write the equations of motion for the system of a mass and spring undergoing simple harmonic motion
• Describe the motion of a mass oscillating on a vertical spring

When you pluck a guitar string, the resulting sound has a steady tone and lasts a long time ((Figure)). The string vibrates around an equilibrium position, and one oscillation is completed when the string starts from the initial position, travels to one of the extreme positions, then to the other extreme position, and returns to its initial position. We define periodic motion to be any motion that repeats itself at regular time intervals, such as exhibited by the guitar string or by a child swinging on a swing. In this section, we study the basic characteristics of oscillations and their mathematical description.

Why does the system oscillate in simple harmonic motion?

Force, displacement, velocity, and acceleration for an oscillator. Simple harmonic motion is governed by a restorative force. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1).

Overview of key terms, equations, and skills for simple harmonic motion, including how to analyze the force, displacement, velocity, and acceleration of an oscillator.

Force, displacement, velocity, and acceleration for an oscillator.

Simple harmonic motion is governed by a restorative force. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1).