- Total number of questions: 65
- 30 questions carry one mark each
- 35 questions carry two marks each
- Negative marking: 1/3 of the marks allotted to the question
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Mechanical Engineering (ME) 2013 [Session 1]
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The partial differential equation ∂u/∂t + ∂u/∂x = ∂2u/∂x2 is a
The eigenvalues of a symmetric matrix are all
Match the CORRECT pairs.
| Numerical Integration Scheme | Order of Fitting Polynomial |
|---|---|
| P. Simpson’s 3/8 Rule | 1. First |
| Q. Trapezoidal Rule | 2. Second |
| R. Simpson’s 1/3 Rule | 3. Third |
A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young’s modulus of the material varies linearly from E1 to E2 along the length of the rod, the normal stress developed at the section-SS is
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Two threaded bolts A and B of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt A is 4 times that of bolt B and the mean diameter of bolt A is 12 mm, the mean diameter of bolt B in mm is
A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the rod, as shown in the figure below. If OA = 1 m, the magnitude of the absolute acceleration of the block at location A in m/s2 is
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