Indian Institute of Technology Madras (IIT-M) 2003 M.Tech Mechanical Engineering mechanical engg-gate - Question Paper

correct?
(a) Both rods elongate by the identical amount
(b) Mild steel rod elongates more than the cast iron rod
(c) Cast iron rod elongates more than the mild steel rod
(d) As the stresses are equal strains are also equal in both the rods
7. 2 beams, 1 having square cross part and a different circular cross-section, are
subjected to the identical amount of bending moment. If the cross sectional area as well as the
material of both the beams are the identical then
(a) maximum bending stress developed in both the beams is the identical
(b) the circular beam experiences more bending stress that the square one
(c) the square beam experiences more bending stress than the circular one
(d) as the material is identical both the beams will experience identical deformation
8. The mechanism used in a shaping machine is
(a) a closed 4-bar chain having four revolute pairs
(b) a closed 6-bar chain having six revolute pairs
(c) a closed 4-bar chain having two revolute and two sliding pairs
(d) an inversion of the single slider-crank chain
9. The lengths of the links of a 4-bar linkage with revolute pairs only are p,q,r and s units.
provided that p < q < r < s. which of these links should be the fixed one, for obtaining a ‘double
crank’ mechanism?
(a) link of length p
(b) link of length q
(c) link of length r
(d) link of length s
10. Consider the arrangement shown in the figure beneath where J is the combined polar mass
moment of inertia of the disc and the shafts. K1, K2, K3 are the torsional stiffness of the
respective shafts. The natural frequency of torsional oscillation of the disc is provided by
(c) I K1K2K3 J (K1 K2 + K2 K3 + K3 K1)
(b) JK1K2 + I<2K3 + K3K1
J(K1 +1(2)
(d) JK1K2 + I<2K3 + K3K1 J(K2 +1(3)

11. Maximum shear stress developed on the surface of a solid circular shaft under pure torsion
is 240 MPa. If the shaft diameter is doubled then the maximum shear stress developed
corresponding to the identical torque will be
(a) 120 MPa
(b) 60 MPa
(c) 30 MPa
(d) 15 MPa
12. A wire rope is designated as six x 19 standard hoisting. The numbers six x nine represent

Earning:   Approval pending.