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APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
SECOND SEMESTER M.TECH DEGREE EXAMINATION, DECEMBER 2018 Branch:

Mechanical Engineering

Stream(s):
| . Machine Design
2,
Course Code & Name: 01 ME6102 Advanced Theory ofMechanisms

Answer any twofull questions from each part

Limit answers to the required points.

Max. Marks: 60 Duration: 3 hours
PARTA

1. ൭. The crank of a slider crank mechanism rotates clockwise at a constant speed of 5

300 r.p.m. The crank is 150 mm and the connecting rod is 600 mm long.
Determine linear velocity and acceleration of the midpoint of the connecting
rod.

b. For the above problem, determine angular velocity and angular acceleration of 4 the
connecting rod, at a crank angle of 45° from inner dead centre position.
2. 2. Derive the two forms of Euler-Savary equation from the Hartmann's 4
construction.

9. Find the inflection circle for motion of slider crank of Fig.! and determine the 5
instantaneous radius of curvature of path of coupler point C. 5802 = 2 in. And RBA —
2.5 in.

Fig. 1
3.9. What is Bobiliier's theorem? Show by neat illustration, how Bobillie€s 4 theorem is used to
locate the inflection circle?
b. Find the inflection circle for the motion of coupler of a slider crank chain 5 having the
following specifications - radius of crank = 5 cm, length of connecting rod = 7.5 cm.
Crank makes an angle of 30 degree with line of stroke. Also find instantaneous radius
of curvature of path of a coupler point located 2.5 cm from crank pin.

PART B

4. a. Derive four bar mechanism coupler curve equation 6

1