Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.19 rad/s at t = 0 andsubsequently experiences an angular acceleration a = 2.3t where t is in seconds, and a is in radians per second squared. Determine thevelocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 2.5 s.Assume r = 225 mm.αAnswers:A-xVA= (ii +j) m/sад =(ii +j) m/s²

First, we need to calculate the angular velocity at the given time. The angular velocity ω at any…

Answered: Point A of the circular disk is at the…

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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The rigid body is rotating about the y-axis. In the position shown in Fig. (a), the angular velocity and angular acceleration of the body are as specified in the figure. Determine the velocity and acceleration vectors of point A in this position using (1) vector equations; and (2) scalar equations.
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A wheel rolls on a circular surface without slipping. In the bottom position, it has an angular velocity w and an angular acceleration a, both clockwise. At this position, find the acceleration of point Con the wheel in contact with the path and find the acceleration of point A. Ans. ac = R Tw² i, a₁ = 2rai +rw²: 1-r/R I 0₁ IC @ 2r/R-1 1-r/R
The relative acceleration of point A with respect to point B of the disk in Figure 1 is given asaA/B = 3.347i + 1.283j. If the disk rolls without slipping, determine the angular velocity andangular acceleration of the disk at the instant. If, in other case, the disk rolls with slipping andthe vM = 2 m/s to the left and vO = 2 m/s to the right, do you think that the process ofdetermining its angular velocity and angular acceleration becomes easier or harder?
The rigid body is rotating about the y-axis. In the position shown in Fig. (a), the angular velocity and angular acceleration of the body are as specified in the figure. Determine the velocity and acceleration vectors of point A in this position using (1) vector equations; and (2) scalar equations.
The r-y coordinate system is body fixed with respect to the bar. The angle 0 (in radians) is given as a function of time by 0 = 0.1+0.08t². The a coordinate of the sleeve A (in feet) is given as a function of time by x = 3+0.06t3. Determine the velocity of the sleeve at t = 4 s relative to a nonrotating reference frame with its origin at B. (Although you are determining the velocity of A relative to a nonrotating reference frame, your answer will be expressed in components in terms of the body-fixed reference frame.) (Figure 1) Enter the a and y components of the velocity separated by a comma. Πν ΑΣφ It vec ? VA 2, VA y = 2.88,4.92 ft/s Submit Previous Answers Request Answer X Incorrect; Try Again; 6 attempts remaining Figure < Return to Assignment Provide Feedback 1 of 1
6
Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.26 rad/s at t = 0 and subsequently experiences an angular acceleration a = 3.0t where t is in seconds, and a is in radians per second squared. Determine the velocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 1.1 s. Assume r = 185 mm. Answers: VA = 90- aд = i i -0.544 -2.58 i + i + i -0.469 -2.226 j) m/s j) m/s²
Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.26 rad/s at t = 0 and subsequently experiences an angular acceleration a = 3.0t where t is in seconds, and a is in radians per second squared. Determine the velocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 1.1 s. Assume r = 185 mm. Answers: VA = 으아 aд = (i (i L. -X i + i i + i
A 3 in radius disk spins at the constant ω1 - 5 radian/s and a constant rate ω2= 4 radians/s. If the angle is 45 degrees, find the absolute acceleration at point P.
position A of the circle disk is at angular position theta=0 and time t=0, disk have angular velocity w0= 1 rad/s when t=0. The angular acceleration of disk is a= 0.2sqrt(w) and a is rad/sec^2. Find vectors of the velocity and acceleration of position A when time = 1 s. Radius of disk r= 1.6 ft.
The rigid body is rotating about the y-axis. In the position shown in Fig. (a), the angular velocity and angular acceleration of the body are as specified in the figure. Determine the velocity and acceleration vectors of point A in this position using (1) vector equations; and (2) scalar equations. H.W 2 rad/s? w = 3 rad/s Ans: 0.2 m -0.3 m- 30° -0.3 m VA = 0.3i m/s a = -0.9k – 0.2i m/s? (a)

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