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 answ

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…

A spring with spring constant k= 7 N/m is horizontal and has one end attached to a wall and the other end attached to a M = 4 kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is D = 1 N · s/m, and the forcing function is F(t) = 2 sin(4t). a. Find the long-term motion of the attached mass if initially the mass is at rest at the equilibrium position. That is, what remains of the solution after all exponentially decaying terms have effectively reached zero. Long-term motion: æ(t) = b. Find the long-term motion of the attached mass if initially the mass is pulled 0.1 metres away from the equilibrium position and is released. Long-term motion: æ(t) =