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: 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: Given the equation F=F0((x/x0)-1) F=find W if particle moves from x=0, x=3x0 if F0=10N x0=2m, plot…

A: Work done by a force acting on a body to move it by a certain distance is given by W = F.s , where F…

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: 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: What is the amplitude in meters, and midline, and period? How high are you off the ground after 1…

A: given, diameter of ferris wheel= 50m distance from ground = 2m then, amplitude = ? midline=? time…

Q: roller coaster is a series of identical hills whose peaks are 23 meters off of the ground. The…

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Q: Can you show me the derivation of the equation for the range from the kinematic equations and thr…

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Q: Write the following function as a linear differential equation system of rank 1 and find the…

A: Given: The linear differential equation is given as,

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: Problems 5 & 6 refer to the mass-spring oscillator depicted in the figure on the right. The block…

A: Mass of the block, m = 0.35 kg Spring constant, k = 45 N/m Initial position at time t = 0 is -20 cm…

Q: derive ω = αt + ω0

A: Sorry for the inconvenience. As you have posted multiple questions in one question, so as per…

Q: The motion of a mass and spring is described by the following equation: 11y"+4y/+6y= 35 cos(yt)…

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

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Q: sinusoidal equation that could model this

A: N is population of horses in a particular year , it is like general position in SHM N0  is minimum…

Q: A pendulum on Earth is released from rest at an angular displacement of 6.6 degrees to the right,…

A: Given θ=6.6odθ=-3.87938dt=0.915924

Q: Derive a relation for the time perlod of a simple pendulum using dimenslonal analysts. The varlous…

A: Introduction: The time period depends on the length of string and acceleration due to gravity.

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

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Q: A weight attached to a spring is pulled down 2 inches below the equilibrium position. Complete parts…

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Q: The bob on a simple pendulum is pulled to the left 4in. from its equilibrium position. After…

A: Solution:-

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: An airplane propeller is rotating at 1900rpm. how many seconds does it take for the propeller to…

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Q: y" + 257?y = 100 cos wt Find the period of the oscillator's response (period of the slow sine) for w…

A: Find the period of the oscillator's response (period of the slow sine) for w =15. Round your answer…

Q: The distance y = 1.6 m. Find the upward velocity of A if the downward velocity of B is 2.1 m/s.…

A: We need to calculate L in terms of the given variables and then tell the velocity of A given the…

Q: Ex. 57: A needle of sewing machine moves in a path 0.06 m long and makes 20 oscillations in 1th…

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Q: If you did the previous question right, you hopefully got an expression for yo. You may notice that…

A: The given equation is,

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: An object undergoing simple harmonic motion takes 0.18 s to travel from one point of zero velocity…

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Q: Instantaneous rate implies that the derivative is involved

A: To explain: Instantaneous rate of change.

Q: The approximation that sin 0 = 0 is only applicable for small angles because A The pendulum always…

A: The correct option is (C)The difference between the sine value and the radian value is small to the…