## Problem Statements

Submit all sketch files, MATLAB files, and a Word document with your solution description.

Use SolidWorks (graphical sketch) or MATLAB (vector loop equations) to solve the following

problems.

4-6 b (SolidWorks Sketch) (10 points)

4-7 b (MATLAB) (10 points)

4-9 a (SolidWorks Sketch) (10 points)

4-9 b (MATLAB) (10 points)

4-11 e (SolidWorks Sketch) (10 points)

4-12 e (MATLAB) (10 points)

4-22 (SolidWorks assembly & MATLAB) (20 points)

4-24 (SolidWorks assembly & MATLAB) (20 points)

NOTE: MATLAB files have to be runnable (error-free) to receive credits.

Book: (McGraw-Hill series in mechanical engineering) Robert L. Norton – Design of machinery _ an introduction to the synthesis and analysis of mechanisms and machines (2020)

### P 4-6 (B)

The link lengths and the value of θ2 for some fourbar linkages are defined in Table P4‑1. The linkage configuration and terminology are shown in Figure P4‑1. For the rows assigned, draw the linkage to scale and graphically find all possible solutions (both open and crossed) for angles θ3 and θ4. Determine the Grashof condition

**Problem 4-7b (Solve by Vector Loop Method)**

The link lengths and the value of θ2 for some fourbar linkages are defined in Table P4‑1. The linkage configuration and terminology are shown in Figure P4‑1. For the rows assigned, draw the linkage to scale and graphically find all possible solutions (both open and crossed) for angles θ3 and θ4. Determine the Grashof condition

## PROBLEM 4-9a

Statement: The link lengths, value of q2, and offset for some fourbar slider-crank linkages are defined in Table P4-2. The linkage configuration and terminology are shown in Figure P4-2. For the rows assigned, draw the linkage to scale and graphically find all possible solutions (both open and crossed) for angles q3 and slider position d.

Given: Link 2 a = 1.4 in, Link 3 b = 4 in, Offset c = 1 in θ2 = 45 deg

## PROBLEM 4-9b

The link lengths and the value of θ2 and offset for some fourbar crank-slider linkages are defined in Table P4‑2. The linkage configuration and terminology are shown in Figure P4‑2. For the rows assigned, draw the linkage to scale and graphically find all possible solutions (both open and crossed) for angle θ3 and slider position d.

## PROBLEM 4-11e

The link lengths and the value of q2 and g for some inverted fourbar slider-crank linkages are defined in Table P4-3. The linkage configuration and terminology are shown in Figure P4-3. For the row assigned, draw the linkage to scale and graphically find both open and closed solutions for q3 and q4 and vector R_{B}.

Given:

Link 1 = 8 in

Link 2 = 4 in

Link 4 = 2 in

γ = 30 deg

θ2 = 75 deg

## PROBLEM 4-12e

The link lengths and the value of q2 and g for some inverted fourbar slider-crank linkages are defined in Table P4-3. The linkage configuration and terminology are shown in Figure P4-3. For the row e assigned, draw the linkage to scale and graphically find both open and closed solutions for q3 and q4 and vector R_{B}.

Given:

Link 1 = 8 in = d

Link 2 = 4 in = a

Link 4 = 2 in = c

γ = 30 deg

θ2 = 75 deg

## PROBLEM 4-22

For the walking-beam mechanism of Figure P4-9, calculate and plot the x and y components of the position of the coupler point P for one complete revolution of the crank O2A. Hint: Calculate them first with respect to the ground link O2O4 and then transform them into the global XY coordinate system (i.e., horizontal and vertical in the figure). Scale the figure for any additional information needed

Given: Link lengths: Coupler point data:

Ground link d := 2.22

Crank a := 1

p := 3.06

δ := 31.000×deg

Coupler b := 2.06

Rocker c := 2.33

Coordinate transformation angle: α := 26.5×deg

## Problem P4-24

For the linkage in Figure P4-11, calculate and plot the angular displacement of links 3 and 4 with respect to the angle of the input crank O2A for one revolution.

Given: Link lengths: Coupler point data:

Link 2 a := 2.00×in

Link 3 b := 8.375×in

Link 4 c := 7.187×in

Link 1 d := 9.625×in

## Comprehensive Solutions to “Design of Machinery” by Robert L. Norton 6th Edition

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