Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
Problem 5: Consider a particle moving in uniform circular motion in the xy plane at a distance r = 1.1l m from the origin. Refer to the figure. In this problem, you will show that the projection of the particle's motion onto the x-axis can be used to represent simple harmonic motion. Part (a) If the particle moves counterclockwise at a constant angular velocity of w, and at timet 0 its coordinates are (x,y) = (r,0), enter an expression for the projection of the particle's position onto the x-axis, in terms of r, w, and t. Expression : Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(ot), cos(o), cos(0), sin(a), sin(ot), sin(4), sin(0), a, o, 0, g, m, r, t Part (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. Part (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 motion be described as simple harmonic motion? MultipleChoice : 1) No 2) Yes 3) Not enough information

Problem 5: Consider a particle moving in uniform circular motion in the xy plane at a distance r = 1.1l m from the origin. Refer to the figure. In this problem, you will show that the projection of the particle's motion onto the x-axis can be used to represent simple harmonic motion. Part (a) If the particle moves counterclockwise at a constant angular velocity of w, and at timet 0 its coordinates are (x,y) = (r,0), enter an expression for the projection of the particle's position onto the x-axis, in terms of r, w, and t. Expression : Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(ot), cos(o), cos(0), sin(a), sin(ot), sin(4), sin(0), a, o, 0, g, m, r, t Part (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. Part (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 motion be described as simple harmonic motion? MultipleChoice : 1) No 2) Yes 3) Not enough information

icon
Related questions
Question
100%

10.5 please answer parts a-c, e, g, h, i

/2n -rk -rF -rt Part (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 =. 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, t Part (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 the problem 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 : 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, t Part (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. ax = 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, because ax 2) Yes, because -w?x ax 3) No, because a, # wʻx 4) No, because a, # x 5) There is not enough information
Transcribed Image Text:/2n -rk -rF -rt Part (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 =. 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, t Part (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 the problem 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 : 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, t Part (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. ax = 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, because ax 2) Yes, because -w?x ax 3) No, because a, # wʻx 4) No, because a, # x 5) There is not enough information
Problem 5: Consider a particle moving in uniform circular motion in the xy plane at a distance r = 1.1 m from the origin. Refer to the figure. In this problem, you will show that the projection of the particle's motion onto the x-axis can be used to represent simple harmonic motion. y r. 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 an expression for the projection of the particle's position onto the x-axis, in terms of r, w, and t. Expression : 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, t Part (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 = Part (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 motion be described as simple harmonic motion? MultipleChoice : 1) No 2) Yes 3) Not enough information Part (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 full cycles? SchematicChoice : MAY r 2n 2n 2л -rt -rF -rF t /2n -rF -rE
Transcribed Image Text:Problem 5: Consider a particle moving in uniform circular motion in the xy plane at a distance r = 1.1 m from the origin. Refer to the figure. In this problem, you will show that the projection of the particle's motion onto the x-axis can be used to represent simple harmonic motion. y r. 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 an expression for the projection of the particle's position onto the x-axis, in terms of r, w, and t. Expression : 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, t Part (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 = Part (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 motion be described as simple harmonic motion? MultipleChoice : 1) No 2) Yes 3) Not enough information Part (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 full cycles? SchematicChoice : MAY r 2n 2n 2л -rt -rF -rF t /2n -rF -rE
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer