Concept explainers
A gun barrel of length
(a)
The angular velocity of the barrel.
Answer to Problem 15.194P
The angular velocity of the barrel is
Explanation of Solution
Given Information:
The length of the gun barrel is
Write the expression for the angular velocity at the azimuth angle.
Here, the rate of increasing of azimuth angle is
Write the expression for the angular velocity at the elevation angle.
Here, the rate of increasing of elevation angle is
Write the expression for the angular velocity of the barrel.
Calculation:
Substitute
Substitute
Substitute
Conclusion:
The angular velocity of the barrel is
(b)
The angular acceleration of the barrel.
Answer to Problem 15.194P
The angular acceleration of the barrel is
Explanation of Solution
Write the expression for the angular acceleration of the barrel.
Calculation:
Substitute
Conclusion:
The angular acceleration of the barrel is
(c)
The velocity of point
The acceleration of point
Answer to Problem 15.194P
The velocity of point
The acceleration of point
Explanation of Solution
Write the expression for the velocity of point
Here, the position vector is
Write the expression for the position vector.
Here, the length of the barrel is
Write the expression for the acceleration of point
Calculation:
Substitute
Substitute
Substitute
Conclusion:
The velocity of point
The acceleration of point
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Chapter 15 Solutions
Vector Mechanics for Engineers: Dynamics
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- The system shown is composed of equal-length bars (L=0.20m). At the instant shown, the velocity of the midpoint of bar DC is 2m/s directed to the right. A. Identify the type of motion of each bar. B. Determine the angular velocities of each bar.arrow_forwardIn Fig. below; rod AB rotates about an axis through A and is connected to block D by a flexible and inextensible cable. Determine the linear velocity of block D when 0 = tan' ( 3/4), and the angular velocity of AB is 2.5 rad/ sec counterclockwise. Fig.2.B 1.5 m 2.5 m Darrow_forwardAt the instant shown, the link AB of the four-bar linkage has a counterclockwise angular velocity of @43 = 19 rad/s. Determine the magnitude and direction of the angular velocites of link 04 (@o4) and link CBD (@cD). Dimensions: Icg = 0,13 m; Igp = 0,06 m; Ico = 0,04 m; lo4 = 0,08 m B L. WAB A Ico Lütfen birini seçin: O a. w_OA = 42,8 rad/s CW; w_CD = 28,5 rad/s CW %3D O b. w_OA = 51,3 rad/s CW; w_CD = 34,2 rad/s CW O c. w_OA = 28,5 rad/s CW; w_CD = 19,0 rad/s CW %3D O d. w_OA = 51,3 rad/s CCW; w_CD = 34,2 rad/s CCW O e.w_OA = 42,8 rad/s CCW; w_CD = 28,5 rad/s CCW O f. w_OA = 28,5 rad/s CCW; w_CD = 19,0 rad/s CCWarrow_forward
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