A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscillations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate the amplitude of the progressive waves that result in the standing wave. Provide your answer in SI units.
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- A mass of 0.38 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.26 m)cos[(16 rad/s)t]. Determine the following. %3D (a) amplitude of oscillation for the oscillating mass How does the amplitude of oscillation compare to the magnitude of the maximum displacement from equilibrium? m (b) force constant for the spring N/m (c) position of the mass after it has been oscillating for one half a period m (d) position of the mass one-third of a period after it has been released (e) time it takes the mass to get to the position x = -0.10 m after it has been releasedA complete description of simple harmonic motion must take into account several physical quantities and various mathematical relations among them. This information is needed to solve oscillation Part A problems of this type. The position of a 40 g oscillating mass is given by x(t) = (2.0 cm) cos(10t), where t is in seconds. Determine the velocity at t = 0.40 s. Express your answer in meters per second to two significant figures. • View Available Hint(s) ? Vr = m/s Submit Part B 國 tIn the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m. Separation L = 0.8 m, linear density μ = 1.6 g/m, and the oscillator frequency f = 200 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q.(a) What mass m allows the oscillator to set up the fourth harmonic on the string?(b) What standing wave mode, if any, can be set up if m = 4 kg (Give 0 if the mass cannot set up a standing wave)?
- A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscillations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate the speed of the progressive waves that result in the standing wave. Provide your answer in m/s.A spring-mass system consists of a mass m = 4.0 kg and spring with spring constant k = 145 N/m. %3D What length of simple pendulum would have the same frequency?A mass m on a spring with spring constant k oscillates with Simple Harmonic Motion. Assume m and k are both known in base SI units. The exact position of the harmonic oscillator is described by this function. All quantities are expressed in base Sl units: x(t) = cos(3rt + T/4) This is a multi-select question, you must select 2 correct answers to receive full credit. Question #1: VWhat is the period of the oscillation? Question #2: What is the total distance traveled by the oscillator during one full period? (Hint: this is not asking for the displacement) The period of the oscillation is 3n [s] | The period of the oscillation is 3 [s] | The period of the oscillation is 4 T [s] The period of the oscillation is 2/3 [s] The period of the oscillation is 3/4 T² [s] The total distance traveled during one full period is 0 [m] The total distance traveled during one full period is 1 [m] | The total distance traveled during one full period is 2 [m] The total distance traveled during one full…