1. An object undergoing simple harmonic motion in which its position varies according to x(t) = (2.50m)cos -t + (a) Determine the amplitude, frequency, and period of motion. (b) Calculate the velocity and acceleration at t= 2.00 seconds

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A: "Since you have posted a question with multiple sub-parts, we solve first three sub-parts for you.…

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A: We nee to find the phase shift and horizontal shift of y=9sin3t-π

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A: we have to find maximum displacement and period of given function. the solution is following

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A: Let m be the mass attached to a spring with spring constant k then  the equation of motion is…

Q: Given

A: Here, we compare given f(x) to a sin(bx+c)+d

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A: The equation in the form y = asin(bx+c)+d. The amplitude (A) will be: A=Max-Min2 where Max=a+d and…

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A: The equation of simple harmonic motion will be defined as, y=asinωt  where a is the amplitude of the…

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A: Since you have asked multiple questions, we will solve the first question for you. The other…

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Q: An object's distance, in feet, from an equilibrium point is given by f (t) = 25.1 cos 3.5t where t…

A: Given that,  An object's distance, in feet, from an equilibrium point is given by   f (t) = 25.1…

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Q: The displacement of an object attached to a spring that moves in simple harmonic motion is given by…

A: Known fact: For the function is of the form d=AsinBX-C+D, Period is 2πB Phase shift is C.

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A: Solution:- use u/v formula to differeniate

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Q: QUESTION 5 The horizontal distance or range (R) of an object thrown at an angle e from the…

A: As per our guidelines I can only solve first question, remaining can be reposted

Q: 1. Given the function f(x) = -3 Sin - 3, determine the following: (x + a) Period b) Amplitude c)…

A: Note: According to Bartleby we have to answer only the first three subparts please upload the…

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A: From the given expression for d we get the angular frequency, w=1/6 Let time period be equal to T…

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Q: 4) Find the amplitude, period, frequency, and sketch one cycle of the displacement of an object…

A: Explained below

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Q: 7. The period of the equation of motion given by x(t) = 6 sin (4t) is ( a) πs (b) 2 s (c)는s (d) 0.5…

A: Time period

Q: 3. If a body of weight W pounds is dragged along a horizontal floor at constant velocity by means of…

A: givenf[θ]=KWK(sinθ+cosθ)       =KW(Ksinθ+cosθ)-1 now differentiating if,f1(θ)=-KW(Ksinθ+cosθ)-2…

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Q: 1. 1 cos(15t) – 7. - sin(15t) %3D - y(T/10) = v(T/10) = ft ft/sec

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Q: displacement of a spring vibrating in damped harmonic motion is given by the following equation.…

A: We will find the time when spring is in equilibrium position.

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A: Model for a harmonic motion is given by: y=asinbt+c Where, a=amplitudeb=Periodc=Phase difference…

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A: We know that cos(x)≤1

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Q: 2. (a) The equation of motion of a particle P moving in a straight line OX is dr + 6 + 4z = 0, where…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…