For mechanical shown below, assume that link 2 angular velocity is 50 rad/sec CW and link 2 angular acceleration is 1600 rad/sec² CW. Determine VB, VC, VE, W3, W4, ав, ас, ае, а3, 04. Velocity scale: Acceleration scale: 1 cm: 10 in/sec 1 cm: 500 in/sec² B A E 120 3 AB= 1.75" AD = 3.55" CD= 2.75" BC = 5.15" BE = 2.5" EC = 4.0" D
For mechanical shown below, assume that link 2 angular velocity is 50 rad/sec CW and link 2 angular acceleration is 1600 rad/sec² CW. Determine VB, VC, VE, W3, W4, ав, ас, ае, а3, 04. Velocity scale: Acceleration scale: 1 cm: 10 in/sec 1 cm: 500 in/sec² B A E 120 3 AB= 1.75" AD = 3.55" CD= 2.75" BC = 5.15" BE = 2.5" EC = 4.0" D
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:For the mechanical system shown below, assume that link 2 has an angular velocity of 50 rad/sec clockwise and an angular acceleration of 1600 rad/sec² clockwise. Determine the velocities \( V_B, V_C, V_E \) and angular velocities \( \omega_3, \omega_4 \), as well as the accelerations \( a_B, a_C, a_E, a_3, a_4 \).
**Velocity Scale:**
1 cm : 10 in/sec
**Acceleration Scale:**
1 cm : 500 in/sec²
### Diagram Details:
The diagram shows a mechanical linkage system composed of several connected links:
- **Links and Dimensions:**
- \( AB = 1.75'' \)
- \( AD = 3.85'' \)
- \( CD = 2.75'' \)
- \( BC = 5.15'' \)
- \( BE = 4.25'' \)
- \( EC = 4.0'' \)
The system includes pivots at points \( A \) and \( D \), and rotating joints at \( B \), \( C \), and \( E \). Arrows indicate the direction of motion for each link, with angular motion shown for links 2 and 4.
The angle at pivot \( A \) for link 2 is specified as \( 120^\circ \).
The task is to solve for velocities and accelerations at specified points, and to determine the angular velocities and accelerations for additional links.
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Step 1: Given data
VIEWStep 2: Draw velocity and acceleration polygon from given mechanism by using given scale
VIEWStep 3: Procedure of velocity polygon
VIEWStep 4: Calculation from velocity polygon
VIEWStep 5: Procedure of acceleration polygon
VIEWStep 6: Procedure of acceleration polygon
VIEWStep 7: Calculation from acceleration polygon
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