Concept explainers
Two identical rods ABF and DBE are connected by a pin at B. Knowing that at the instant shown the velocity of point D is 200 mm/s upward, determine the velocity of (a) point E, (b) point F.
Fig. P15.93
(a)
Find the velocity of the point E.
Answer to Problem 15.93P
The velocity of the point E is
Explanation of Solution
Given information:
The velocity at point D is
Calculation:
Show the rod ABF and DBE as shown in Figure 1.
Refer Figure 1.
Consider the velocity at B and D are denoted by
Consider the perpendiculars to the velocity at B and D intersect at C. Then,
The instantaneous center is at C.
Consider the triangle BCD.
Apply law of sine.
Take
Calculate the distances CD, BC and BD.
Calculate the angular velocity
Substitute
Calculate the velocity at B using the relation:
Substitute
Calculate the angular velocity
Substitute
Calculate the velocity at F using the relation:
Substitute
Consider the triangle DCE.
Apply law of cosine.
Substitute
Calculate the distance EH using the relation:
Substitute
Calculate the value of the angle
Substitute
Calculate the velocity at E using the relation:
Substitute
Thus, the velocity at point E is
(b)
Find the velocity at point F.
Answer to Problem 15.93P
The angular velocity at pint F is
Explanation of Solution
Given information:
Calculation:
Refer to Part (a).
Refer to Equation (1).
The velocity at point F is
Thus, the velocity at point F is
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Chapter 15 Solutions
Connect 2 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics
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