# Dynamic Force Analysis of a Four-Bar Mechanism## Objective:To perform dynamic force analysis on the four-bar mechanism seen in the figure. This involves determining the inertial radius of the links.## Given Values:- Angular velocity \(w_2 = 20 \text{ rad/s (clockwise)}\)- Angular acceleration \(a_2 = 160 \text{ rad/s}^2 \text{ (clockwise)}\)## Lengths:- \(OA = 250 \text{ mm}\)- \(OG2 = 110 \text{ mm}\)- \(AB = 300 \text{ mm}\)- \(AG3 = 150 \text{ mm}\)- \(BC = 300 \text{ mm}\)- \(CG4 = 140 \text{ mm}\)- \(OC = 550 \text{ mm}\)- \(\angle AOC = 60^\circ\)## Mass and Mass Moment of Inertia:| Link | Mass (m) | MMI (IG, \(\text{kg m}^2\)) ||------|----------|----------------------------|| 2 | 20.7 kg | 0.01872 || 3 | 9.66 kg | 0.01105 || 4 | 23.47 kg | 0.0277 |## Diagrams:### a) Mechanism Diagram:- The mechanism diagram shows a four-bar linkage with labeled points and forces \(F_{i2}, F_{i3}, F_{i4}\) and velocities \(V_A, V_B\).- Each link's velocity and direction are indicated with dashed lines.### b) Acceleration Polygon:- The acceleration polygon graphically represents the accelerations of the mechanism's components.- It uses a scale of 1 cm = 20 m/s\(^2\).- Acceleration vectors \(a_A, a_B\) and their respective angles are depicted.## Notes:- The scales listed are approximate.- Use the specified values below to determine the correct scale for the acceleration polygon.## Given Velocities and Accelerations:- \(V_A = 250 \times 20 = 5 \text{ m/s}\)- \(V_B = 4 \text{ m/s}\)- \(V_{BA} = 4.75

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To carry out dynamic force analysis of the four-bar mechanism shown in the figure. It is required to find the inertial radius of the links. Where w220rad /s (cw), a2 = 160 rad/s2 (cw) OA= 250mm, OG2= 110mm, AG3=150mm, OC=550mm, ĐAOC = 60° The masses & mass moment of inertia of the various members are: Link 234 Mass, m 20.7kg 9.66kg 23.47kg F₁34 G3 α3 1 (a) Scale: 1 cm = 10 cms BC=300mm, B b MMI (IG, Kgm2) 0.01872 0.01105 0.0277 ABA AB=300mm, CG4=140mm, b" Y ABA a 'b' AB Acceleration polygon Scale 1 cm = 20 m/sec² Note: The listed scales are not perfectly correct, Consider the following values to find out the correct scale of acceleration polygon. V₁=250×20; 5m/s, VB=4 m/s, VBA = 4.75 m/s = 250×20²; 100m/s², a=250×160; 40m/s² a

To carry out dynamic force analysis of the four-bar mechanism shown in the figure. It is required to find the inertial radius of the links. Where w220rad /s (cw), a2 = 160 rad/s2 (cw) OA= 250mm, OG2= 110mm, AG3=150mm, OC=550mm, ĐAOC = 60° The masses & mass moment of inertia of the various members are: Link 234 Mass, m 20.7kg 9.66kg 23.47kg F₁34 G3 α3 1 (a) Scale: 1 cm = 10 cms BC=300mm, B b MMI (IG, Kgm2) 0.01872 0.01105 0.0277 ABA AB=300mm, CG4=140mm, b" Y ABA a 'b' AB Acceleration polygon Scale 1 cm = 20 m/sec² Note: The listed scales are not perfectly correct, Consider the following values to find out the correct scale of acceleration polygon. V₁=250×20; 5m/s, VB=4 m/s, VBA = 4.75 m/s = 250×20²; 100m/s², a=250×160; 40m/s² a

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

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# Dynamic Force Analysis of a Four-Bar Mechanism

## Objective:
To perform dynamic force analysis on the four-bar mechanism seen in the figure. This involves determining the inertial radius of the links.

## Given Values:
- Angular velocity \(w_2 = 20 \text{ rad/s (clockwise)}\)
- Angular acceleration \(a_2 = 160 \text{ rad/s}^2 \text{ (clockwise)}\)

## Lengths:
- \(OA = 250 \text{ mm}\)
- \(OG2 = 110 \text{ mm}\)
- \(AB = 300 \text{ mm}\)
- \(AG3 = 150 \text{ mm}\)
- \(BC = 300 \text{ mm}\)
- \(CG4 = 140 \text{ mm}\)
- \(OC = 550 \text{ mm}\)
- \(\angle AOC = 60^\circ\)

## Mass and Mass Moment of Inertia:
| Link | Mass (m) | MMI (IG, \(\text{kg m}^2\)) |
|------|----------|----------------------------|
| 2 | 20.7 kg | 0.01872 |
| 3 | 9.66 kg | 0.01105 |
| 4 | 23.47 kg | 0.0277 |

## Diagrams:
### a) Mechanism Diagram:
- The mechanism diagram shows a four-bar linkage with labeled points and forces \(F_{i2}, F_{i3}, F_{i4}\) and velocities \(V_A, V_B\).
- Each link's velocity and direction are indicated with dashed lines.

### b) Acceleration Polygon:
- The acceleration polygon graphically represents the accelerations of the mechanism's components.
- It uses a scale of 1 cm = 20 m/s\(^2\).
- Acceleration vectors \(a_A, a_B\) and their respective angles are depicted.

## Notes:
- The scales listed are approximate.
- Use the specified values below to determine the correct scale for the acceleration polygon.

## Given Velocities and Accelerations:
- \(V_A = 250 \times 20 = 5 \text{ m/s}\)
- \(V_B = 4 \text{ m/s}\)
- \(V_{BA} = 4.75

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