
Concept explainers
(a)
The angular velocity of the rod FBD.
(a)

Answer to Problem 15.68P
The angular velocity of the rod FBD
Explanation of Solution
Given information:
The constant angular velocity of the bar DE
The value of h is 500 mm.
Calculation:
Write the value of relative position
Determine the velocity vector of D
Substitute
Bar FBD:
Write the value of relative position vector of B with respect to D.
Determine the velocity vector of B
Substitute
BAR AB:
Determine the velocity vector of point B
Here,
Substitute
Equate the j components in Equation (1) and (2).
Therefore, the angular velocity of the rod FBD
Equate the i components in Equation (1) and (2).
Substitute
(b)
The velocity of point F.
(b)

Answer to Problem 15.68P
The velocity of point F is
Explanation of Solution
Given information:
The constant angular velocity of the bar DE
The value of h is 500 mm.
Calculation:
BAR FBD:
Determine the value of relative position vector of B with respect to A using proportions.
Substitute 500 mm for h and
Determine the velocity vector of point F.
Substitute
Determine the magnitude of the velocity of point F.
Substitute 1.111 m/s for
Determine the direction of the velocity of point F.
Substitute 1.664 m/s for
Therefore, the velocity of point F is
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Chapter 15 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
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