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Assignment 3

The assignment involves analyzing the motion of a rigid body rotating about the y-axis, requiring the determination of velocity and acceleration vectors using both vector and scalar equations. It also includes calculating the velocity of a sliding collar in a linkage system, the angular speed of a rod, and the velocity of a slider in relation to another rod. Additionally, it addresses the effects of a hydraulic cylinder on the motion of a mechanism, including constant and variable speeds and angular accelerations of various bars.

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Natnael worku
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54 views2 pages

Assignment 3

The assignment involves analyzing the motion of a rigid body rotating about the y-axis, requiring the determination of velocity and acceleration vectors using both vector and scalar equations. It also includes calculating the velocity of a sliding collar in a linkage system, the angular speed of a rod, and the velocity of a slider in relation to another rod. Additionally, it addresses the effects of a hydraulic cylinder on the motion of a mechanism, including constant and variable speeds and angular accelerations of various bars.

Uploaded by

Natnael worku
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Assignment 3

1. The rigid body is rotating about the y-axis. In the position shown in Fig. (a), the angular
velocity and angular acceleration of the body are as specified in the figure. Determine the
velocity and acceleration vectors of point A in this position using (1) vector equations; and
(2) scalar equations.

2. When the linkage is in the position shown, bar AB is rotating counterclockwise at 16


rad/s. Determine the velocity of the sliding collar C in this position.

3. Crank AD rotates with the constant clockwise angular velocity of 8 rad/s. For the position
shown, determine the angular speed of rod BE and the velocity of slider D relative to BE
4. As the hydraulic cylinder elongates, it raises pin B of the mechanism.
a) The hydraulic cylinder raises pin B at the constant rate of 30 mm/s. Determine the
speed of end D of the bar AD at the instant shown.
b) When the system is in the position shown, the velocity of pin B is 40 mm/s upward,
and it is increasing at the rate of 80 mm/s2. For this instant, determine the angular
accelerations of bars AD and AE.

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