Is there a significant difference between the two slopes in the acceleration vs sin(theta) graph? What quantity does the slope represent in this experiment?

Q: During a relaxed walking pace, a person's leg can be thought of as a physical pendulum of length L…

A: Length of leg acting as a pendulum while relaxed walking (L) = 1.387 m Acceleration due to gravity…

Q: It is known that a general solution for the position of a harmonic oscillator is x(t) = C cos (wt) +…

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Q: A body of mass m is suspended by a rod of length L that pivots without friction (as shown). The mass…

A: a. Draw the free-body diagram of the mass m.

Q: The disk is rotating horizontally, and the block has a weight of 2 lb. Friction between the block…

A: The block is at rest means that there is no net force acting on the block.  Hence, the centrifugal…

Q: ticle. Does the motion appear to be periodic? Does the motion appear to be simple harmonic? What are…

A: Periodic Motion In a periodic motion, the motion is repeated after regular intervals of time. An…

Q: An oscillator has an equation x(t) = (0.45 m) cos ( 477 t) Assuming w is in Sl units, calculate the…

A: Given value--- oscillation equation-             X(t) = (0.45m) cos (477t) . We have to find---…

Q: If you have a harmonic graphs with u(t)=5sin(3t) and sin(3t) What are the initial displacement and…

A: The rate of change of displacement with respect to time is the velocity. That is, ut=dx(t)dt. The…

Q: the general solution to a harmonic oscillator are related. There are two common forms for the…

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Q: You have constucted a pendulum as shown here, and by laying a meter stick underneath the pendulum,…

A: distance from one of swing to the other end (d) = 30 cm Time taken to complete one round trip (T) =…

Q: Explain the term amplitude as it relates to the graph of asinusoidal function.

A: Sinusoidal function: fx=±a sinbx+c+d where a is amplitude Graph of sinusoidal function:

Q: Consider the curve described by the parametric equations E = 2 cos t, y = 3 sin t For which value of…

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Q: can’t figure out how to work this one out: A buoy floating in the ocean is bobbing in a simple…

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Q: A particle with mass 2.59 kg oscillates horizontally at the end of a horizontal spring. A student…

A: As per your requirement I have given the solution for U only.

Q: why amplitude is equal to (ymax - y min)/2

A: Amplitude is the measure of the height achieved by a wave. It is the maximum displacement of the…

Q: What is ?, , ² and ² for µ1 of a harmonic oscillator? Show complete derivation.

A: As per our policy, first three subparts will be answered.  Given: For harmonic oscillator,…

Q: Determine the length of the curve in the indicated interval: x = sin (2t) cos t y = sin (2t) sin…

A: The parametric arc length can be calculated in the following manner, Arc length=∫abx'(t)2+y'(t)2dt…

Q: The plane curve described by the parametric equations x = 3 cos t and y = 3 sin t, 0≤ t < 2π, has…

A: The solution is given below:

Q: Molecular Dynamics (MD) is a commonly used technique for the simulation of liquids. (i) Which…

A: (ii) Write the pseudocode for the MD method. (iii) Outline the mathematical procedure used in the…

Q: Problem 1: One end of a spring with a spring constant of 159 N/m is held firmly in place, and the…

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Q: A value of the acceleration of free fail g was determined by measuring the period of oscillation T…

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Q: The graph shows the displacement from equilibrium of a mass-spring system as a function of time…

A: As per guidelines only 3 subparts are solved here. The time period is the time taken by waves to…

Q: 8. The power output, P, in Watts of an electric generator varies sinusoidally over the course of a…

A: Given The power output, P, in Watts of an electric generator varies sinusoidally over the course of…

Q: This is about a simple pendulum experiment and we used Tracker and Phyphox. Question: Based on the…

A: The error is least in the method of Accelerometer data in phyphox.  So, this method is most…

Q: What happens to the period and frequency of oscillation (do they increase, decrease or remain the…

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Q: Assume an oscillator described by the following 2nd order DE:   x"+12x'+100x=0 where the…

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Q: A value of the acceleration of free fail g was determined by measuring the period of oscillation T…

A: Given that, value of l =0.55 +- 0.02 m T =1.50 +- 0.02 sec

Q: You may have seen in previous courses the statement "for angles theta near zero, sin theta can be…

A: For smaller angle Sin θ = θ  This is called small angle approximation.

Q: You measure the oscillation period of a flexible rod to be T= 9.20 ± 0.5 ms.  The so-called angular…

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Q: Assume an oscillator described by the following 2nd order DE: x" + 12x' + 100x = 0 where the…

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Q: A particle of mass moves in a 2-dimensional plane under the influence of a force spring (in figure)…

A: Given a particle of mass say is moving under the influence of a force with initial position position…

Q: Instantaneous rate implies that the derivative is involved

A: To explain: Instantaneous rate of change.

Q: The motion of a mass on a spring hung vertically, where the mass oscillates up and down, can also be…

A: The position of the shadow x(t)=Rsinθ=Rsinωt

Q: For a simple harmonic oscillator with x = A sin ot write down an expression for the velocity. Please…

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Q: A particle performing S.H.M. starting for mean position has period 2 second and of amplitude 5 cm.…

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