ISRO Scientist or Engineer Mechanical 2018

Instructions

For the following questions answer them individually

Question 71

‘If X is a normal variable with mean $$\mu$$ and standard deviation $$\sigma$$, then the mean and standard deviation of the variable $$Z = \frac{X - \mu}{\sigma}$$ is

Video Solution


Question 72

Example for an elliptic partial differential equation is

Video Solution


Question 73

The solution of the equation $$y'' + y = 0$$ satisfy the condition $$y(0) = 1, y\left(\frac{\pi}{2}\right) = 2$$, is

Video Solution


Question 74

For the spring system given in figure, the equivalent stiffness is

Video Solution


Question 75

A round uniformly tapered bar of length L and Young’s modulus E has diameter of ‘a’ at one end and ‘2d’ at the other end. If the bar is pulled by an axial force F, the extension produced will be

Video Solution


Question 76

Two blocks A and B of 1 kg each are kept on flat surface, one above other. The coefficient of friction between each contacting pair is 0.2. If the lower block is pulled with a horizontal force F, the minimum value of F for which the slip occurs between the blocks is nearly

Video Solution


Question 77

A solid metal bar of uniform diameter D and length L is hung vertically. If $$\rho$$ is density and E is the Young’s modulus, then the total elongation due to self weight is

Video Solution


Question 78

A circular solid disc of uniform thickness 20 mm, radius 400 mm and mass 10 kg, is used as a flywheel. If it rotates at 300 rom, the kinetic energy of the flywheel, in Joules is

Video Solution


Question 79

If the length of the cantilever beam is reduced to $$\frac{1}{4}th$$, the natural frequency of the mass M at the end of this cantilever beam of negligible mass will be increased by a factor of

Video Solution


Question 80

The relationship between the linear elastic properties Young’s modulus (E), rigidity modulus (G) and Bulk modulus (K) is given by

Video Solution


Register with

OR

Boost your Prep!

Download App