What is the lagranges equation of spherical pendulum?
Q: What is a Foucault Pendulum
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Q: What is the lagrange's equation for simple pendulum?
A: The Lagrangian is given by: L=T-V, where T is the kinetic energy of the object and V is its…
Q: What is the period of a pendulum that has a length of 0.30 m here on Earth (g = 9.80 m/s2)?
A: Given : Length of the Pendulum, l = 0.30 m Acceleration due to gravity, g = 9.80 m/s2
Q: What is the lagrange's equation of spherical pendulum?
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Q: In the partial oscillates the kinetic and potential energies continually .change T O F O
A: Partial oscillations are sinusoidal partial oscillations which, when summed, form the waveform. The…
Q: What are the conditions required for undamped oscillations in oscillator?
A: The oscillations in which the amplitude does not change with time are called undamped oscillation.…
Q: A simple pendulum with a length of 3 m oscillates on the surface of a hypothetical planet X. What is…
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Q: what is the bar pendulum? how many holes it have and the distance between them?
A: A bar pendulum is a suspended weight in a rectangular bar form from a pivot which can move back and…
Q: A simple pendulum has a length of 2.1 meters. What is its period of oscillation? Use g = 9.8 m/s/s…
A: Given data: A simple pendulum Length (L) = 2.1 m g = 9.8 m/s2 Required: The period (T)
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A: Let the equilibrium point be x0. Expand the potential up to 3 terms around x = x0 using Taylor…
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Q: What is the period of a pendulum consisting of a 17-kg object swinging on a 9-m string? Use…
A: Given: The mass of the pendulum is 17 kg. The length of the string is 9 m. The acceleration due to…
Q: An underdamped one-dimensional oscillator, moving on a horizontal surface, has a damped frequency fa…
A: Given that: Damped frequency fd is 10% less than the undamped frequency fo
Q: What period would you expect from a pendulum of length 0.5 m on the moon where g= 1.6 m/s2? will the…
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Q: What are forced vibrations? Give one example to illustrate your answer.
A: Forced vibration is the vibration due to a time-varying disturbance applied to the mechanical…
Q: Here are several solutions curves in the phase plane. Which of these could be solutions of a…
A: Phase-space trajectory of harmonic oscillator :- Let, a particle of mass m is attached to a massless…
Q: How do I derive the period for a swinging pendulum with a string of length L?
A: Consider a pendulum of length L, mass m and instantaneous angular displacement ϴ.
Q: Define the equilibrium point of a dynamical system. Show that isolated equilibrium points may exist…
A: When the position of any system does not change with the time. Then, the system is called as…
Q: when the pendulum is at it's highest point, what type of energy does it have and WHY?
A: Step1 - Here we will understand the concept that will be used to solve the question. As…
Q: A simple pendulum with a length of 1.7 m completes 10 oscillations in 42 s on the surface of Mars.…
A: Given Information:- Length of the pendulum is l=1.7 m No of oscillations N=10 Total time t=42 s…
Q: b) Study the figure to the right. The like charges of value q repel each other and have a mass of…
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Q: 21. Find the Lagrangian and Lagrange's equations for the double pendulum shown. All motion takes…
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Q: Derive the oscillation period for a physical pendulum! What is the torque, which differential…
A: A physical pendulum can be considered as any object undergoing oscillation similar to that of simple…
Q: The period of a simple pendulum of lengtg 1 meter, on another planet is 1.66 seconds. what is the…
A: Length of the pendulum is L = 1 m Time period of the pendulum is T = 1.66 s
Q: What is the period of a simple pendulum with a length of 2.25 m2.25 m on each of the four given…
A: given that - length of the given pendulum (l) = 2.25 cm As are know that for…
Q: What is the period of a pendulum consisting of a 24-kg object swinging on a 2-m string? Use…
A: Given data m=24 kgl=2 mg=9.8 m/s2 Here, m is the mass, l is the length of the string. While g is the…
Q: Using small angle how do I get the frequency
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Q: (5) A disc of radius R is rotating with constant angular velocity w about its center O. A pendulum…
A: A disc of radius R is rotating with constant angular velocity Now we have to find natural frequency…
Q: Using Newton's 2nd Law (F = ma), derive equation of motion of the pendulum: d²0 dt² + g 7 7 0 = 0 L
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Q: At what points, the energy of the simple harmonic oscillator is entirely potential?
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Q: In the last experiment we found that the period of the oscillator was predicted by: m/k. What is the…
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Q: Derive the differential equation of motion.
A: It is problem of an oscillating rod.
Q: What are two essential physical observations that describe an oscillating system?
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Q: State the assumptions made in the analysis of the motion of a focault's pendulum.
A: A Foucault’s pendulum is a device used to demonstrate the Earth’s rotation. The Foucault’s pendulum…
Q: What is simple harmonic oscillation? Express your answer verbally,mathematically, and visually.
A: Start with a spring resting on a horizontal, frictionless (for now) surface. Fix one end to an…
Q: How long of a radius must a simple pendulum be if it is to make exactly 1.5 swings per second? what…
A: Given: Cycle = 1.5 swing/s. It means 1.33 s. take for complete vibration. T = 1.33 s.
Q: Suppose that a swing takes 4.991 s to complete one cycle. What is the swing’s period?
A: Given data *The swing takes time to complete one cycle is t = 4.991 s *The swing complete one cycle
Q: when the pendulum is at it's lowest point, what type of energy does it have and WHY?
A: Pendulum have kinetic energy at it's lowest point . Reason - 1) At the lowest point in its swing,…
Q: For the flat pendulum in the figure: Determine the binding forces in the case that L is constant
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Q: Calculate a pendulum's frequency of oscillation (in Hz) if the pendulum completes 8 cycles in 0.5 s.…
A: Given data: Number of cycles = 8 Time taken = 0.5 s Required: The frequency (f)
Q: A 0.40 kg mass is attached to a 0.5 m string and displaced an angle of 12 degrees before it is…
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Q: What is the frequency of oscillation of a simple pendulum mounted in a box that is freely falling…
A: The time of the simple pendulum is given by
Q: Derive the Non Linear model of Double Pendulum and find all the Equilibrium points and if they are…
A: Draw the free body diagram as below. Here, mg is resolved into two components mgcosθ and mgsinθ.…
Q: Suppose you have a physical pendulum, is it possible to approximate is as a point particle? Why…
A: No, it is not possible to approximate a physical pendulum as a point particle. As we need to include…
What is the lagranges equation of spherical pendulum?
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