6-13. A smooth tube in the form of a circle of radius r rotates in its vertical plane with aconstant angular velocity w. The position of a particle of mass m that slides insidethe tube is given by the relative coordinate p. Find the differential equation for .eОEgωFigure P6-13

Answered: Image /qna-images/answer/ebcd91fb-ef13-4e8a-bd3c-aa7d005748ce.jpg

Answered: 6-13. A smooth tube in the form of a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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This is a dynamics problem. One Answer: P = 579 N
For the circular thin plate with a square hole as shown in the image below, its radius R = 0.32 m and the side of the square /= 0.18 m, and the material has a mass per unit area of 12 kg/m². If at the instant shown, it is subjected to a force P = 30 N, and has a counterclockwise angular velocity of W = 4.2 rad/s, determine magnitude of the support reaction at point O at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s². R @ Your Answer: Answer units P
For the circular thin plate with a square hole as shown in the image below, its radius R = 0.48 m and the side of the square /= 0.21 m, and the material has a mass per unit area of 12 kg/m2. If at the instant shown, it is subjected to a force P = 38 N, and has a counterclockwise angular velocity of W = 2.6 rad/s, determine magnitude of the support reaction at point O at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s?. R P
The smooth hollow tube assembly rotates about a vertical axis with angular velocity @ = 0 = 3.5 rad/s and = 0 = -2.6 rad/s².A small 0.26-kg slider P moves inside the horizontal tube portion under the control of the string which passes out the bottom of the assembly. If r = 1.12 m, r = -2.0 m/s, and * = 4.9 m/s2, determine the tension T in the string and the horizontal force Fe exerted on the slider by the tube. T is positive in tension, and Fe is positive if in the positive direction. T N N Answers: T = Fe= i i
6-5. A particle of mass m is embedded at a distance / from the center O of a massless circular disk of radius r. It rolls without slipping down a plane inclined at an angle a with the horizontal. Find the differential equation for 6. Figure P6-5 In additional steps that need development are: a- Conservation of linear momentum, where the center of mass is the particle. (Ref. Page 53 on Donald Greenwood). b- Conservation of angular momentum, has point of contact of the disk with the plane. (Ref. Page 54 on Donald Greenwood). c- Find the differential equation for (e). (I HAVE THIS PART ONLY HELP ME WITH THE PART A AND B.)
Example: 18-63. The uniform 80-lb garage door is guided at its ends on the track. If it is released from rest at 0 = 0º, determine the door's angular velocity at the instant = 30°. The spring is originally stretched 1 ft when the door is held open, 0 = 0°. Assume the door can be treated as a thin plate, and there is a spring and pulley system on each of the two sides of the door. Solution: 8 ft A 8 ft B k = 9 lb/ft
For the circular thin plate with a square hole as shown in the image below, its radius R = 0.49 m and the side of the square /= 0.22 m, and the material has a mass per unit area of 14 kg/m². If at the instant shown, it is subjected to a force P= 43 N, and has a counterclockwise angular velocity of W = 2.3 rad/s, determine the angular acceleration (in rad/s²) of this plate. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². R @ Your Answer: Answer 5 3 P
For the circular thin plate with a square hole as shown in the image below, its radius R = 0.42 m and the side of the square /= 0.15 m, and the material has a mass per unit area of 15 kg/m2. If at the instant shown, it is subjected to a force P= 47 N, and has a counterclockwise angular velocity of w = 2.1 rad/s, determine the angular acceleration (in rad/s?) of this plate. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². R 4 3 Your Answer: Answer
Specifically a dynamics problem. Question in pic below.
For the circular thin plate with a square hole as shown in the image below, its radius R = 0.32 m and the side of the square /= 0.22 m, and the material has a mass per unit area of 14 kg/m2. If at the instant shown, it is subjected to a force P= 44 N, and has a counterclockwise angular velocity of W = 3.8 rad/s, determine the angular acceleration (in rad/s?) of this plate. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?. R P
This is a dynamics question. Answer: vB = 24.1 m/s
Specifically a dynamics problem. Question in pic below. Answer: vA = 1.29 m/s

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6-13. A smooth tube in the form of a circle of radius r rotates in its vertical plane with a constant angular velocity w. The position of a particle of mass m that slides inside the tube is given by the relative coordinate p. Find the differential equation for . e О E g ω Figure P6-13