10.5 please answer part f, other parts are answered /2n-rk-rF-rtPart (e) Enter an expression for the velocity function, v,, associated with the position function you entered in part (a), in terms of r, w, and t.Expression :Vx =.-wrsin[wt)Select from the variables below to write your expression. Note that all variables may not be required.cos(a), cos(ot), cos(4), cos(0), sin(a), sin(ot), sin(4), sin(0), a, o, 0, g, m, r, tPart (f) For an angular speed of w = 2.1 rad/s, find the value of vy, in meters per second, at time t = 0.22 s.Numeric : A numeric value is expected and not an expression.Vx =Part (g) How is the velocity you entered in part (e) related to the tangential velocity of the particle undergoing uniform circular motion in theproblem statement?MultipleChoice :1) There is no relation between them.2) The velocity Vỵ is the x-component of the tangential velocity.3) vỵ is equivalent to w.4) They are the same.5) There is not enough information.Part (h) Enter an expression for the acceleration function, a,x, associated with the position function you entered in part (a), in terms of r, w, and t.Expression :-w2rcos(wt)ar =Select from the variables below to write your expression. Note that all variables may not be required.cos(a), cos(ot), cos(4), cos(0), sin(a), sin(ot), sin(4), sin(0), a, o, 0, g, m, r, tPart (i) For an angular speed of w = 2.1 rad/s, find the value of a,, in meters per second squared, at time t = 0.22 s.Numeric : A numeric value is expected and not an expression.-4.34ax =Part (j) In simple harmonic motion, the acceleration, ay, is directly proportional to the displacement, x, with a negative proportionality factor.Considering the expressions you entered in parts (a) and (h), is that true?MultipleChoice :1) Yes, becauseax2) Yes, because-w?xax3) No, because a, # wʻx4) No, because a, # x5) There is not enough information Problem 5: Consider a particle moving in uniform circular motion in the xy plane at adistance r = 1.1 m from the origin. Refer to the figure. In this problem, you will showthat the projection of the particle's motion onto the x-axis can be used to representsimple harmonic motion.yr.Part (a) If the particle moves counterclockwise at a constant angular velocity of w, and at time t = 0 its coordinates are (x,y) = (r,0), enter anexpression for the projection of the particle's position onto the x-axis, in terms of r, w, and t.Expression :x =reos(wt)Select from the variables below to write your expression. Note that all variables may not be required.cos(a), cos(ot), cos(), cos(0), sin(a), sin(ot), sin(o), sin(0), a, o, 0, g, m, r, tPart (b) For an angular speed of w = 2.1 rad/s, find the value of x, in meters, at time t = 0.22 s.Numeric : A numeric value is expected and not an expression.x =.98Part (c) Considering the expression you entered in part (a) for the projection of the particle's position onto the x-axis, can the projection's motionbe described as simple harmonic motion?MultipleChoice :1) No2) Yes3) Not enough informationPart (d) Which of the graphs correctly shows the projection of the position of the moving particle onto the x-axis as a function of t for two fullcycles?SchematicChoice :MAYr2n2n2л-rt-rF-rFt/2n-rF-rE

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Accepted Answer

Given:-
a particle moving in a uniform circular motion in the XY plane at a distance r = 1.6 m from…

-t /2n |4x 2n 2