If one side of the cavity wall of a Helmholtz resonator is a mass-spring oscillator, what...

If one side of the cavity wall of a Helmholtz resonator is a mass-spring oscillator, what will be natural frequency of the resonator?

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samet mamat answered 2 years ago

Consider a classical harmonic oscillator of mass m and spring constant k . What is the...

Consider a classical harmonic oscillator of mass m and spring constant k . What is the probability density for finding the particle at position x ? How does this compare to the probability density for the ground state of a quantum mechanical harmonic oscillator

A mass-spring oscillator consists of a 3.40-kg block attached to a spring of spring constant 103...

A mass-spring oscillator consists of a 3.40-kg block attached to a spring of spring constant 103 N/m. At time t = 1.40 s, the position and the velocity of the block are x = 0.150 m and v = 3.18 m/s respectively. What is the amplitude of oscillation? What was the position of the block at t = 0? What was the speed of the block at t = 0?

A 23.3-kg mass is attached to one end of a horizontal spring, with the other end of the spring fixed to a wall.

Part AA 23.3-kg mass is attached to one end of a horizontal spring, with the other end of the spring fixed to a wall. The mass is pulled away from the equilibrium position (x = 0) a distance of 17.5 cm and released. It then oscillates in simple harmonic motion with a frequency of 8.38 Hz. At what position, measured from the equilibrium position, is the mass 2.50 seconds after it is released?–5.23 cm16.6 cm–5.41 cm–8.84 cm–11.6 cm Part BA 23.3-kg...

The displacement as a function of time of a 4.0kg mass spring simple harmonic oscillator is...

The displacement as a function of time of a 4.0kg mass spring simple harmonic oscillator is . What is the displacement of the mass at 2.2 seconds? ___________m What is the spring constant? ___________________N/m What is the position of the object when the speed is maximum? ______________m What is the magnitude of the maximum velocity?____________________m/s

A frictionless oscillator is composed of a 350 N/m spring and a block of mass m....

A frictionless oscillator is composed of a 350 N/m spring and a block of mass m. It is set into motion such that at time t = 0, the block is at equilibrium (x 0 = 0) and is moving in the positive x-direction at 16 cm/s. It oscillates at angular frequency ω = 4.4 s − 1. a) Determine the mass of the block. b) Determine the energy of the oscillation. c)Determine the amplitude of the oscillation. d) Determine...

A simple harmonic oscillator consists of a block of mass 3.70 kg attached to a spring...

A simple harmonic oscillator consists of a block of mass 3.70 kg attached to a spring of spring constant 260 N/m. When t = 1.60 s, the position and velocity of the block are x = 0.199 m and v = 3.920 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?

A simple harmonic oscillator consists of a block of mass 3.4 kg attached to a spring...

A simple harmonic oscillator consists of a block of mass 3.4 kg attached to a spring of spring constant 120 N/m. When t = 0.84 s, the position and velocity of the block are x = 0.127 m and v = 3.23 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?

A block-spring oscillator on a frictionless table has k = 125 N/m and block mass =...

A block-spring oscillator on a frictionless table has k = 125 N/m and block mass = 0.5kg; the block is oscillating back and forth and its initial position (i.e. when t = 0 sec) is when the spring is compressed to a maximum amount of 1.25 m: a) In 10 seconds how many times does the block oscillate back and forth? b) What are the maximum kinetic energy and the maximum velocity of the block? c) Where is the block...

A damped oscillator is formed by attaching a mass with m = 1.5 kg to one...

A damped oscillator is formed by attaching a mass with m = 1.5 kg to one end of a spring with spring constant k = 8 N/m. The other end of the spring is anchored and the mass can slide on a horizontal surface The damping force is given by –bv with b = 230 g/s. At t=0, the mass is displaced so that the spring is compressed by 12 cm from its unstretched length and released from rest. (a)...

Consider the undamped forced harmonic oscillator with mass 1 kg, damping coefficient 0, spring constant 4,...

Consider the undamped forced harmonic oscillator with mass 1 kg, damping coefficient 0, spring constant 4, and external force h(t) = 3cos(t). The mass is initially at rest in the equilibrium position. You must understand that you can model this as: y’’ = -4y +3cost; y(0) = 0; y’(0) = 0. (5pts) Using the method of Laplace transforms, solve this initial value problem. Check your solution solves the IVP. (4pts) Be sure to check that your solution satisfies both the...

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