Does the evidence show that the amplitude of the motion affects the period significantly

Q: What three variables might determine the period of a pendulum?

A:

Q: A 10 kg mass moving vertically with simple harmonic motion has an amplitude of 450 mm and an…

A: acceleration a = 0.4 m/s² (at y = 225 mm) y = 225×10-³ mm = 0.225 m

Q: Does the period depends on the mass of the system?

A:

Q: An object is moving with SHM of amplitude A on the end of a spring. If the amplitude is doubled,…

A: Given: The Simple Harmonic Motion of the object is given.

Q: 3) Given the equation MX+CX + kx=0 for damped oscillations of a harmonic oscillator. 2 Prove that if…

A:

Q: 3. Show that the frequency of a harmonic oscillation of a body on a spring is ( 2/2n, so that the…

A: Given,  Vertical oscillation of spring

Q: How is the period T affected if the semimajor axis a is increased four-fold?

A: Two bodies in the universe attract each other with a force that is proportional to the product of…

Q: How does a pendulum oscillate?

A: A pendulum consists of a mass 'm' hanging from a massless string of length 'l', fixed at a pivot…

Q: Does the length of any string affect the period of oscillation of a pendulum? In what way?

A: Given:  A simple pendulum  Required: Relationship between period of oscillation and length of the…

Q: What is Simple Harmonic Motion? Give an example of SHM.

A: Simple harmonic motion :- It is defined as periodic motion which cause by the restoring force on a…

Q: If a pendulum clock is accurate at sea level, will it gain orlose time when taken to high altitude?…

A:

Q: Are the medium where the waves/oscillation travel affect its intensity? Explain

A: Yes, the medium affects the intensity.

Q: At t = 0, the bob of a simple pendulum starts at -0max. If at t = 3 s, the bob reaches the…

A: In the given problem, the bob of the simple pendulum initially starts from one of its extremes, and…

Q: What are the conditions for an object to oscillate with Simple Harmonic Motion

A: Introduction: The simple harmonic motion is the one type of periodic motion in which the restoring…

Q: 8. A pendulum has time period of 1.6 s, find out its length. (b) If the mass of the same pendulum is…

A: Given that                 The time period of pendulum (T) = 1.6s                 The time period of…

Q: Are there factors other than length and gravitational acceleration that affect the period of a…

A: The period of a simple pendulum is defined as the time taken by the pendulum to complete one full…

Q: Choose the correct answer If a particle in simple harmonic motion has a maximum speed vmax maximum…

A:

Q: The phase difference between the instantaneous velocity and acceleration of a particle executing…

A: Concept used: Acceleration is obtained by differentiating velocity with respect to time.

Q: Give some examples of simple harmonic motion?

A: When an object moves to and fro or back and forth along the same line, it is called a simple…

Q: Describe how you might change the natural frequency of the following oscillating systems. a guitar…

A: Natural frequency: The frequency or frequencies at which an object tends to vibrate with when hit,…

Q: The acceleration due to gravity on Mars is 3.72 m/s2. What is the period of a simple pendulum on the…

A: Given, Acceleration on Mars, gm=3.72 m/s2, and Period on Earth, TE=1.2 s.

Q: What is simple sinusodial motion?

A: The motion of an object in simple harmonic motion is sinusoidal. That means the values like…

Q: If a pendulum clock is taken to a mountaintop, does it gain or lose time, assuming it is correct at…

A: The clock loses the time when taken at mountain top.

Q: n air-track cart is attached to a spring and completes on oscillation every 5.87 s. at t=0 s the…

A:

Q: What are two essential physical observations that describe an oscillating system?

A:

Q: What is the relationship between pressure and amplitude?

A: Given: Pressure and amplitude

Q: Determine the mass of an object when the period of oscillation is 12 s and spring constant is 9 N/m.…

A: Given data: Period of oscillation T =12s Spring constant k =9 N/m

Q: 2) When a 0.50 kg. mass is attached to a vertical spring, the spring stretches by 0.15 meters. How…

A: The mass attached to the vertical spring is m=0.50 kg. The spring stretches by ∆x=0.15 m. The period…

Q: Should a tuning fork be set into oscillation by striking it with or on a hard object ? Explain.

A: A tuning fork is a device that produces a nearly constant pitch when it vibrates.

Q: period of oscillation of the pendulum? In what way/ s?

A: The time period of the pendulum for one oscillation is given by.

Q: 7) A frictionless simple pendulum on Earth has a period of 1.75 s. On Planet X its period is 3.14 s.…

A: Given that Time period in earth, TE=1.75 s Time period in Planet X, TX=3.14 s Time period of simple…

Q: What effect does the amplitude have on the frequency of a simple pendulum?

A: For small oscillation, frequency is independent of amplitude.  For large oscillation frequency will…

Q: The displacement of an object is described by the following equation: x = 0.88 sin (3.4 t) What is…

A:

Q: A particle executes simple harmonic motion, its time period is 16s. If it passes through the centre…

A: A

Q: The time period of a simple pendulum is 1.4 s if we now increase the length 50% how long will it…

A: The equation for the time period of the simple pendulum is When the length increases by 50%,

Q: 4 1) The graph below shows the temporal oscillation (1987-1993) of lynx and rabbits in the northern…

A: Given data: Year Rabbits Lynx 1987 50 3 1988 225 4 1989 150 14 1990 150 17 1991 100 8…

Q: Why isn't a simple pendulum an accurate method for determining the value of ground acceleration?

A: Answer:   As per the given statement,

Q: A spring stretches by 0.58 m when a 0.81 kg mass is hung from it. If a 0.53 kg mass attached to this…

A: Mass of 1st objet=0.81kg Mass of second object=0.53kg Stretching in string=0.58m

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.