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1.(25%) For the six-link mechanism shown : (a) Develop vector-loop equations. Explicitly specify the loop or loops and the loop vectors being used. (b) Consider each vector used in some vector-loop. Is its magnitude constant or variable? Is its orientation constant or variable? (c) What, if any, geometric constraints exist among vectors used in this vector-loop formulation? (d) Write the vector-loop equations in components and (if any exist) the constraint equations. Count equations and variables. How many of the variable quantities must be specified to make the system solvable?
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  • 1.(25%) For the six-link mechanism shown :(a) Develop vector-loop equations. Explicitly specify the loop or loops and the loop

    vectors being used.(b) Consider each vector used in some vector-loop. Is its magnitude constant or

    variable? Is its orientation constant or variable?(c) What, if any, geometric constraints exist among vectors used in this vector-loop

    formulation?(d) Write the vector-loop equations in components and (if any exist) the constraint

    equations. Count equations and variables. How many of the variable quantities must bespecified to make the system solvable?

  • LOOP 2:ABCEA EDFE LOOP 1:

    R1 R6

    R2

    R3

    R4R5R7

    1.

  • 4.(25%) For the six-bar mechanism shown, use Kennedys Rule to locate the instant centersI3,4, I1,3, and I1,5.

  • 4.(25%) For the six-bar mechanism shown, use Kennedys Rule to locate the instant centersI3,4, I1,3, and I1,5.

    I3,4

    @

    I5,6

    I3,4

    @

    I4,5

    I1,5

    I1,3

    I1,2

    I1,6

    I2,3

    I1,4

    2.

  • 3.(25%) The toggle press shown is a mechanism with AB as input link, BC as conrod, Das slider. When = 75, a force Fin is applied to the handle (link 2), as shown, and aforce Fout is developed at E.

    (a) Write the power identity for the mechanism, and express its mechanical advantage

    M. A. =FoutFin

    in terms of the ratio2VD

    .

    (b) The above sketch portrays the mechanism and gives the location of the instantcenter I2,4, and various other pertinent Instant Centers for the mechanism in its currentconfiguration. Use this information to develop a numerical relationship between 2 andVD.

    (c) Find the mechanical advantage of the mechanism for this configuration.

  • 3.

    .1m

    .1m.1m

    d

  • 4.(25%) The link-lengths for the two-link mechanism shown are O2A = 4 in, AB = 3 in. Atthe instant shown, the angles, angular velocities and the angular accelerations of the linksare given to be 2 = 53.13, 3 = 30 , 2 = 4 rad/s, 3 = 2 rad/s, 2 = 5 rad/s2,3 = 4 rad/s2 . Find the horizontal and vertical components of (a) the velocity VB,(b) the acceleration AB, of point B. Link angles are measured counter-clockwise relativeto the horizontal.

  • 4.