12–174. A double collar C is pin connected together suchthat one collar slides over a fixed rod and the other slides overa rotating rod. If the geometry of the fixed rod for a shortdistance can be defined by a lemniscate, r = (4 cos 20) ft²,determine the collar's radial and transverse components ofvelocity and acceleration at the instant 0 = 0° as shown. RodOA is rotating at a constant rate of é = 6 rad/s.2 = 4 cos 2 0ở = 6 rad/s

Write the expression of the lemniscate.

Answered: 12–174. A double collar C is pin…

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

See similar textbooks

Similar questions

As the hydraulic cylinder rotates around O, the exposed length l of the piston rod is controlledby the action of the oil pressure in the cylinder. If the cylinder rotates at the constant rate ofdθ/dt = 55 deg/s and l is decreasing at the constant rate of 155 mm/s, calculate the magnitudesof the velocity v and acceleration a of end B when l = 125 mm.
20-50. At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity w, = 6 rad/s, while at the same instant the arm is rotating upward at a constant rate w = 4 rad/s. If the conveyor is running at a constant rate i = 5 ft/s, determine the velocity and acceleration of the package Pat the instant shown. Neglect the size of the package. tr= 6 ft w= = 6 rad/s, \e = 45° w = 4 rad/s
Q14. The collars are pin connected at B and are free to move along rod OA and the [C. (1 + cos 0)] m, curved guide OC having the shape of a cardioid, î where C = 0.3. The rod OA moves at a constant angular velocity 0 = 1.6 rad/s. Determine the magnitude of the acceleration (in m/s²) of the collars at the instant = 1.0 rad. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Your Answer: Answer B C =
The hydraulic cylinder gives pin A a constant velocity v = 3.1 m/s along its axis for an interval of motion and, in turn, causes the slotted arm to rotate about O. Determine the values of r, r, and for the instant when 0 = 27°. (Hint: Recognize that all acceleration components are zero when the velocity is constant.) Answers: r = 7 = ÿ = i i 37 310 mm- m/s m/s² rad/s²
Q10. The platform is rotating about the vertical axis such that at any instant its angular position is = (C₁ · ³/2) rad, where C₁ is a constant and this time in seconds. A ball rolls outward along the radial groove so that its position is r = (C₂ · t³) m, where C₂ is another constant and t is again time in seconds. If the constants C₁ = 4.1 and C₂ = 0.06, determine the magnitude of the acceleration of the ball (in m/s²) when t 1.5 s. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: Answer 0. r
The mass B is attached to the arm that rotates in the horizontal planeabout a pin in collar A. A motor in A keeps the angular speed of the arm constant at ˙ θ = 2.4 rad/s. Determine the velocity and acceleration of A as functions of the angle θ. Assume that vA = 0 when θ = 0. Friction and the mass of the rotating arm can be neglected.
Imagine that the CD on the right side is rotating with a constantangular velocity of �=6 rad/s between t=0 and t=3 s. Then, at t=3 s,it is suddenly subjected to a constant angular acceleration of α=6rad/s2 for 2 seconds. Determine the number of turns for the totaltime interval from t=0 to t=5 s. (Diameter of the CD is 12 cm)
The bent flat bar rotates about a fixed axis through point O. The angle can be found at any instant according to this relation 0 = π * sin(t), where 0 is in rad and t is in seconds. At this instant, determine the instantaneous velocity and acceleration of point A. 0 L -x A 0.3 m 105° 0.5 m 30° α
The boom OAB pivots about point O, while section AB simultaneously extends from within section OA. Determine the velocity and acceleration of the center B of the pulley for the following conditions: 0 = 30°, 0 = 5 deg/sec, Ö = 5 deg/sec², l = 14 ft, 1 = 1.8 ft/sec, i = -2.5 ft/sec?. The quantities l and i are the first and second time derivatives, respectively, of the length l of section AB. Express your answers as vectors in the e, and eg directions. 21' Answers: VR = (i е, + i eg) ft/sec ag = (i е, + i eg) ft/sec2
The belt is travelling to the right at some speed v, while the pipe is rolling without slipping at o = 4 - 1.5 m rad/s as shown. If the center of the pipe G appears to an observer on the ground to move at 2 m/s to the left, determine the velocity of the Belt В belt v.
Show the complete solution that the angle is equal to 72.3°.
Can someone explain to me the solution of this problem please and why VB=(-20i) rad/s? Why rC/B=(4i-4k)in?

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS