
Concept explainers
(a)
Find the angular velocity of the member ABD.
(a)

Answer to Problem 15.92P
The angular velocity of the member ABD is
Explanation of Solution
Given information:
The angular velocity of the arm DE is
Calculation:
Show the member ABD as shown in Figure 1.
Refer to Figure 1.
Calculate the velocity at D as follows:
Substitute
Consider the velocity of the point B as follows:
Consider the velocity at point B and D are denoted by
The perpendiculars to
The perpendicular BC and DC intersect at C. Then,
The point C is the instantaneous centre of ABD.
Refer to Figure 1.
Calculate the distances BD and DK as follows:
Calculate the value of the angle
Substitute
Calculate the value of the angle
Consider the triangle BCD.
Apply law of sine.
Calculate the distance BC and CD as follows:
Consider the triangle ABC.
Apply law of cosine.
Substitute
Apply law of sine.
Substitute
Calculate the angular velocity of the member ABD as follows:
Substitute
Thus, the angular velocity of the member ABD is
(b)
Find the velocity of A.
(b)

Answer to Problem 15.92P
The velocity at A is
Explanation of Solution
Given information:
Calculation:
Refer to Part (a).
Calculate the velocity of A using the relation:
Substitute
The velocity
Thus, the velocity at A is
Want to see more full solutions like this?
Chapter 15 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
- PROBLEM 3.46 The solid cylindrical rod BC of length L = 600 mm is attached to the rigid lever AB of length a = 380 mm and to the support at C. When a 500 N force P is applied at A, design specifications require that the displacement of A not exceed 25 mm when a 500 N force P is applied at A For the material indicated determine the required diameter of the rod. Aluminium: Tall = 65 MPa, G = 27 GPa. Aarrow_forwardFind the equivalent mass of the rocker arm assembly with respect to the x coordinate. k₁ mi m2 k₁arrow_forward2. Figure below shows a U-tube manometer open at both ends and containing a column of liquid mercury of length l and specific weight y. Considering a small displacement x of the manometer meniscus from its equilibrium position (or datum), determine the equivalent spring constant associated with the restoring force. Datum Area, Aarrow_forward
- 1. The consequences of a head-on collision of two automobiles can be studied by considering the impact of the automobile on a barrier, as shown in figure below. Construct a mathematical model (i.e., draw the diagram) by considering the masses of the automobile body, engine, transmission, and suspension and the elasticity of the bumpers, radiator, sheet metal body, driveline, and engine mounts.arrow_forward3.) 15.40 – Collar B moves up at constant velocity vB = 1.5 m/s. Rod AB has length = 1.2 m. The incline is at angle = 25°. Compute an expression for the angular velocity of rod AB, ė and the velocity of end A of the rod (✓✓) as a function of v₂,1,0,0. Then compute numerical answers for ȧ & y_ with 0 = 50°.arrow_forward2.) 15.12 The assembly shown consists of the straight rod ABC which passes through and is welded to the grectangular plate DEFH. The assembly rotates about the axis AC with a constant angular velocity of 9 rad/s. Knowing that the motion when viewed from C is counterclockwise, determine the velocity and acceleration of corner F.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





