### Problem Statement:The ends of the 0.63-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.40 m/s and an acceleration of 0.47 m/s² in the directions shown. Determine the angular acceleration α (positive if counterclockwise, negative if clockwise) of the bar and the acceleration of end A (positive if up, negative if down).### Diagram Explanation:The provided diagram illustrates a bar leaning against a wall, forming an angle of 28° with the vertical wall and an angle of 105° with the horizontal ground. The bar's length is 0.63 meters. The diagram also shows the following data for end B:- Velocity \(v_B\) = 0.40 m/s (to the right)- Acceleration \(a_B\) = 0.47 m/s² (to the right)### Required Calculations:1. **Determine the angular acceleration (α) of the bar:** - Use the given values for velocity and acceleration of end B to calculate the angular acceleration of the bar considering counterclockwise as positive and clockwise as negative.2. **Compute the acceleration (a_A) of end A:** - Determine the linear acceleration of end A, with the positive direction being upward and the negative direction being downward.### Answers:| \(\alpha \) | | rad/s² ||-------------|---|----------|| \(a_A \) | | m/s² |To complete the calculations for these values, use the kinematic equations and principles of rotational motion as required for solving problems in mechanics involving rigid bodies.

To Find : The angular acceleration of the bar and acceleration at end A. Given : The velocity of…

The ends of the 0.63-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.40 m/s and an acceleration of 0.47 m/s² in the directions shown. Determine the angular acceleration a (positive if counterclockwise, negative if clockwise) of the bar and the acceleration of end A (positive if up, negative if down). 28 105° 0.63 m B -ag=0.47m/s² UB=0.40 m/s

The ends of the 0.63-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.40 m/s and an acceleration of 0.47 m/s² in the directions shown. Determine the angular acceleration a (positive if counterclockwise, negative if clockwise) of the bar and the acceleration of end A (positive if up, negative if down). 28 105° 0.63 m B -ag=0.47m/s² UB=0.40 m/s

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

Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The disk has a constant angular velocity of 30 rad/s clockwise. D 2.8 in. 10 in. For each of these values of e, determine the corresponding value of the angular velocity of bar BD. Take rA = 2.8 in. and /BD = 10 in. The corresponding value of the angular velocity of bar BD for 6 = 22.9° is The corresponding value of the angular velocity of bar BD for 0 = 192.6° is rad/s (Click to select) rad/s (Click to select)
The device shown rotates about the fixed z-axis with angular velocity w = 22 rad/s and angular acceleration a = 30 rad/s² in the directions indicated. Determine the instantaneous velocity and acceleration of point B. 69% ーー Answers: VB = (i A OA=320 mm, AB = 625 mm ag = ( i B +69° i+ i it i j+ j+ H k) m/s k) m/s²
The ends of the 0.62-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.58 m/s and an acceleration of 0.37 m/s² in the directions shown. Determine the angular acceleration a (positive if counterclockwise, negative if clockwise) of the bar and the acceleration of end A (positive if up, negative if down). 21° A 0.62 m 101° Answers: α = aA = i i Bag=0.37 m/s² UB=0.58 m/s rad/s² m/s²
4. The fan blades suddenly experience an angular acceleration of 2 rad/s². If the blades are rotating with an initial angular velocity of 4 rad/s, determine the speed of point P when the blades have turned 2 revolutions. a. 14.2 ft/s b. 17.7 ft/s c. 23.1 ft/s d. 26.7 ft/s
End A of the 3.6-ft link has a velocity of 3.7 ft sec in the direction shown. At the same instant, end B has a velocity whose magnitude is 4.4 ft/sec as indicated. Find the angular velocity w of the link in two ways. The angular velocity of the link is positive if counterclockwise, negative if clockwise. A VA = 3.7 ft/sec 40° Answer: w= 3.6' B B VB = 4.4 ft/sec rad/sec
At the instant shown in (Figure 1). rod AB has an angular velocity w AB = 2.4 rad/s and an angular acceleration AB= 10 rad/s². The collar at C is pin-connected to CD and slides over AB. Figure 60⁰° @AB AB 0.75 m D 0.5 m B 1 of 1 € Determine the angular velocity of rod CD at this instant. Express your answer in radians per second to three significant figures. Enter positive value if the direction of velocity is counterclockwise and negative value if the direction of velocity is clockwise. |Π|ΙΑΣΦΗΤΗ WCD= Submit Part B acd= Request Answer Submit Determine the angular acceleration of rod CD at this instant. Express your answer in radians per second squared to three significant figures. Enter positive value if the direction of acceleration is counterclockwise and negative value if the direction of acceleration is clockwise. IVD ΑΣΦΗ Request Answer vec < Return to Assignment vec [w]) ? Provide Feedback rad/s pwo ? rad/s²
1-) Point P moves upward vertically along the rod (constant speed v=3m/s). (When P is at a height h=0.75m, d is equal to 0.75m) Determine a) the angular velocity of the (slotted) link and b) the velocity of P relative to the (slotted) link at this instant. ·d- TWIT A y
The ends of the 0.63-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.40 m/s and an acceleration of 0.47 m/s² in the directions shown. Determine the angular acceleration a (positive if counterclockwise, negative if clockwise) of the bar and the acceleration of end A (positive if up, negative if down). 28 105 Answers: a = aA i i 0.63 m B 0.274 0.196 -ag=0.47m/s² UB=0.40 m/s rad/s² m/s²
The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls without slipping on the horizontal surface, determine the velocity of A and the acceleration of B for the instant represented. Assume a = 5.0 m/s², v = 3.0 m/s, b = 0.2 m, 0 = 45% a Answers: A VA= (i ag= (i b B b V i+i ¡+ i L--x j) m/s j) m/s²
X Incorrect The ends of the 0.62-m bar remain in contact with their respective support surfaces. End B has a velocity of 0.58 m/s and an acceleration of 0.37 m/s² in the directions shown. Determine the angular acceleration a (positive if counterclockwise, negative if clockwise) of the bar and the acceleration of end A (positive if up, negative if down). A 21° 101° Answers: a = aA = i 0.62 m Bag=0.37 m/s² 2.2045 1.1279 UB=0.58 m/s rad/s² m/s²
Pulley C has an inner hub which is fixed to its outer one and turns with it. At the instant wĄ = 7.5 rad/s, pulley A is given a constant angular acceleration α = 32 rad/s². When A rotates 18 revolutions, determine the following: a) Angular velocity we of pulley C b) Angular acceleration ac of pulley C c) magnitude of acceleration of point B on pulley C Wc = 8 WA αA ac = a = 50 mm rad/s rad/s² m/s² A 60 mm B 40 mm
Bar OA has a counterclockwise angular velocity wo = 4.0 rad/s. Rod BC slides freely through the pivoted collar attached to OA. Determine the angular velocity Wac of rod BC (positive if counterclockwise, negative if clockwise) and the velocity vrel of collar A relative to rod BC (positive if moving from B to C, negative if it moves from C towards B). 290 mm, 45° 59° B Answers: WBC= i rad/s Vrel = i m/s