Concept explainers
(a)
The angular velocity of the plate
Answer to Problem 15.46P
The angular velocity of the disk is
Explanation of Solution
Given information:
The relative velocity of A with respect to B is defined as
Calculation:
Velocity of A with respect B is
The absolute value of point A
Substitute
Equate components
From equation 1
Conclusion:
According to the above explanation, the angular velocity of the disk is
(b)
The velocity of point B
Answer to Problem 15.46P
Explanation of Solution
Given information:
The relative velocity of C with respect to B is defined as
Calculation:
According to sub part a
Velocity of C with respect to B is
The absolute velocity of point C
Substitute
Equate components
From equation 2
Therefore
Conclusion:
According to the above explanation, the velocity of point B is
(c)
The point of plate with zero velocity
Answer to Problem 15.46P
The point of plate with zero velocity is
Explanation of Solution
Given information:
The relative velocity of O with respect to B is defined as
Calculation:
According to sub part a and b
And
Find the velocity of point O with respect to B
The absolute velocity of point O
To find the point with zero velocity
Substitute
Equate components
Solve to find x and y
Conclusion:
The point of plate with zero velocity is
Want to see more full solutions like this?
Chapter 15 Solutions
Vector Mechanics For Engineers
- 2) At the instant given, it is known that the angular velocity of rod AB is 20 rad/s clockwise. By use of Cartesian vector form, determine (a) the angular velocity of rod BD, (b) the velocity of the point D. 0.2 m 0.25 m D 0.2 m E -0.6 m Barrow_forwardPROBLEM 3: Velocity sensors are placed on a satellite that is moving only in the xy plane. Knowing that at the instant shown the unidirectional sensors measure (Va)x = 2 ft/s, (Vs)x = -0.333 ft/s, and (vc)y, = -2 ft/s, determine 34 ft (a) the angular velocity of the satellite, (b) the velocity of point B. 2 ft 6 ftarrow_forwardThe outer gear A rotates with an angular velocity of 3 rad/s counterclockwise. Knowing that the angular velocity of the intermediate gear B is 3 rad/s clockwise, determine: 1. The angular velocity of the arm ABC 2. The angular velocity of the outer gear C. 5 in. 10 in. 15 in. 15 in. Select one: O A.Wa= l rad/s (CW); and we O rad/s E B. warm =0 rad/s; and wc = 1.5 rad/s (CCW) O C.warm =5 rad/s (CW); and wc = 3 rad/s (CW) D:Warm =3 rad/s (CW): and wc =1.5 rad/s (CW). 9:17 PM AGO eA ENG 17-Apr-2021arrow_forward
- The plate shown moves in the xy plane. Knowing that (t): - 165 mm/s, (B), - 180 mm/s, and (c)y=-55 mm/s, determine (a) the angular velocity of the plate, (b) the velocity of point A. vc=(ve)xi + (velyi 125mm 125mm 4 VA= (VA) x + (VA)y! VB = (VB) x! + (vely) -125 mm- 0 B 125 mm- с Fig. P15.44 In Prob. 15.44, determine (a) the velocity of point B, (b) the point of the plate with zero velocity.arrow_forward4 In the position shown, bar DE has a constant angular velocity of 10 rad/s clockwise. Knowing that h = 500 mm, determine (@) the angular velocity of bar FBD, (b) the velocity of point F. F B 100 mm 200 mm E |120 mm 300 mm 100 mmarrow_forwardKnowing that at the instant shown the angular velocity of rod BE is 4 rad/s counterclockwise, determine (a) the angular velocity of rod AD, (b) the velocity of collar D, (c) the velocity of point A. E 192 mm В 240 mm 30° D 360 mmarrow_forward
- QUESTION 1 The slider block C moves at 7.5 m/s down the inclined groove. 1- Determine the angular velocity of link AB at the instant shown measured clockwise. 2- Determine the angular velocity of link BC at the instant shown measured clockwise. -2 m- 45 2m a. 2.65 , -9.34 Cb.9.34 , -9.34 Cc.-2.65 , 9.34 Cd.2.65 , -2.65 B.arrow_forwardThe outer gear A rotates with an angular velocity of 6 rad/s counterclockwise. Knowing that the angular velocity of the intermediate gear B is 3 rad/s clockwise, determine: 1. The angular velocity of the arm ABC 2. The angular velocity of the outer gear C. 5 in. 10 in. C B -15 in.- -15 in.- Select one: O A. arm = 3 rad/s (CW); and @c = 1.5 rad/s (CW) O B. Warm = 5 rad/s (CW); and @c = 3 rad/s (CW) O C.o arm = 0 rad/s ; and @c = 1.5 rad/s (CCW) O D. warm = 1 rad/s (CW); and wc = 0 rad/sarrow_forwardIn a four bar mechanism, the dimensions of the links are given as AB = 50 mm, BC = 66 mm, CD = 56 mm and AD = 100 mm. At a given instant when <DAB=600 . The angular velocity of link AB is 10.5r/s in CCW direction. Determine, (i) velocity of point C, (ii) velocity of point E on link BC when BE = 40 mm, (iii) the angular velocity of link BC and CD; (iv) the velocity of an offset point F on link BC, if BF = 45 mm, CF = 30 mm and BCF is read clockwise. (v) the velocity of an offset point G on link CD, if CG = 24 mm, DG = 44 mm and DCG is read clockwise (arrow_forward
- The assembly shown consists of two rods and a rectangular plate BCDE that are welded together. The assembly rotates about the axis AB with a constant angular velocity of 16 rad/s. Knowing that the rotation is counterclockwise as viewed from B, determine the velocity and acceleration of corner E. 225 mm 500 mm The velocity of corner Eis ( The acceleration of corner Eis -( 300 mm m/s)i + 1 m/s²)i + x m/s)j. /s²)j + m/s +( m/s²)k.arrow_forwardA The 18-in.-radius fly wheel is rigidly attached to a 1.5-in. -radius shaft that can roll along parallel rails. Knowing that at the instant shown the center of the shaft has a velocity of 1.2 in/s and an acceleration of 0.5 in/s?, both directed down to the left, determine the acceleration (a) of point A, (b) of point B. 18 in. 20 Вarrow_forwardProblem 2 Collar B moves downward to the left with a constant velocity of 2 m/s, and rod AB has length of 500mm A B At the instant shown when 0 = 15° and a = 60°, determine (a) the angular velocity of rod AB, (b) the velocity of collar A.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY