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
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Author:Sadiku, Matthew N. O.
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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.
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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