3 a. Find the inflection circle for the motion of the coupler of the slider-crank linkage and (6) determine
the instantaneous radius of curvature of the path of the coupler point C.
(Dimensions are in inches)

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b. State Bobillicr Theorem and expkain it with a neat figure
PART B

4. a. Derive the equation for the coupler curve. (6)

b Explain circle of foci, multiple points, imaginary points and asymptote. (3)

5. a. Explain cusp, crunode and symmetry. (2)

b Derive the equation for the contact force and jump speed of aneccentric cam. (5) c. Prove that jump
will not occur if the preload P > -2k) (2)

6 a. ExplainJohnson's Numerical Analysis. (4) b. Explain spring surge, unbalance and wind up. (2)

c. Write down the displacement curves of cams. Describe any two in detail, (3)
PART C
7. a. Write down the properties of pole points in a four-bar mechanism. Describe Relative (3)
pole.

b. Designa slider crank mechanism. Eccentricity 'e' of the crank above the fixed (5) pivot is 10 mm,
crank angle 012 45" CW, slider displacement $12 — 40 mm, slider moving away from fixed point.
८. Design a four-bar mechanism with input crank 60' CW and output with = 40° CW, fixed link

length is 60 mm.
8. a.Obtain Freudenstein's equation for four bar mechanism. (3)

‎Design a four bar mechanism, the motions of input & output links are governed by (4) 3 functiony‏ .م
‎=x and x- varies from 0 to 2 with an interval of | . Assume 62 vary from 50" to 1 50" and vary from‏

‎80' to 1601
൦. Deterrnine Chebyshev spacing for the function 2x -2, in the range of 0 < x < 2, (5) where three
accuracy point are required. At the above precision points determine the crank angles for = 30', AG
— 45", 40-601,&6-90'.
9. a. State Grashof's Law, Determine the minimum and maximum transmission angles for (3) the four-bar
mechanism.

‎b. Derive the equation for the angular momentum of a rigid body in 3 dimensions. (6)

‎c. Write down the Euler's equation of motion (3)