Homework Solutions 5 PDF

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MIME 3300 - DAMS, Spring 2018

Assignment 5

Due: March 21th, 2018

A5.1 –The diagram in Fig. P3.33 illustrates a planar schematic approximation of an automotive front suspension. The roll center is the term used by the industry to describe the point about which the auto body seems to rotate with respect to the ground – i.e. the instant center between the auto body and the ground. The assumption is made that there is pivoting but no slip between the tires and the road. After making a sketch, use the concepts of instant centers, the Kennedy circle and the Aronhold-Kennedy theorem to locate the roll center. Hint: A typical link numbering system is shown below. Be sure to make use of symmetry.

A5.2 – Determine all instant centers for the figure below (Figure P3.25). Highlight them with a different colored pen. Draw a Kennedy circle to assist you in locating the secondary centers.

MIME 3300 - DAMS, Spring 2018

Assignment 5

th

Due: March 21 , 2018

A5.3 – Determine all instant centers for the figure below (Figure P3.28). Highlight them with a different colored pen. Draw a Kennedy circle to assist you in locating the secondary centers. Rolling contact happens between links 1 (ground) and 2, while slip is possible between links 2 and 3.

A5.4 – Determine all instant centers for the figure below (Figure P3.29). Highlight them with a different colored pen. Draw a Kennedy circle to assist you in locating the secondary centers. Only rolling contact happens between links 2 (cam) and 3 (roller).

A5.5 – Figure P3.12 (below) illustrates a parallel-bar linkage in which opposite links have equal lengths. For this linkage, (1) identify all six instant centers, and (2) using the instant centers prove that ω3 is always zero and that ω4 = ω2?

MIME 3300 - DAMS, Spring 2018

Assignment 5

th

Due: March 21 , 2018

A5.7 - For the mechanism illustrated in Figure P3.46 (below), the dimensions are RAO2 = 10 in. and RPO4 = 20 in. At the position illustrated, where ∠O4O2A = 30◦, RPA = RAO4 , and RPB = RBA, the angular velocity of the input link 2 is ω2= 5 rad/s cw. Locate all of the instant centers and using the angle theorem of instant centers algebraically determine the angular velocities of links 3 and 4, and the velocity of point P fixed in link 4.

MIME 3300 - DAMS, Spring 2018 th

Due: March 21 , 2018

Assignment 5...