ISRO Scientist or Engineer Mechanical 2013

If the probability for A to fail an examination is 0.2 and that for B is 0.3, then probability that either A of B fail is

Area bounded by the parabola 2y= $$x^{2}$$ and the line x=y-4 is equal to

Chancethat a leap year selected at random will contain 53 Sundays is

$$ \lim_{x \rightarrow 0} \frac{x{2} + x - \sin x}{x^{2}}$$

Two objects P & Q are traveling horizontally with velocity of 8 m/sec & 6 m/sec from left to right. They are separated by a distance of 15 m. The massof the objects are 3
kg and 5kg. lfthe coefficient of restitution is 0.7 what is the velocity $$(\frac{m}{s})$$ of P and Q after impact and when (seconds) and where (metres) will they impact with respect _to initial positioning of Q. The corresponding answersare respectively

The cross section of a compound bar 1 m long is as shown in figure. If the temperature is raised by $$80^\circ$$ C determine the stresses (in N/mm$$^2$$) in each metal

A short column of external diameter D and internal diameter d is subjected to a compressive load P acting with an eccentricity ‘e’. If the stresses at one of the extreme fiber is zero then the eccentricity has to be

The number of degrees of freedom in the 3 link mechanism shown below is given by

The equation of motion for a dampedvibrationis given by 6% + 9x+27x=0. The damping factor will be

A block brake with 400 mm diameter is used to brake a torque of 100 Nm as shown 60 in the figure. If the coefficient friction is 0.25 at the brake surface what is the value of force F to be applied at the end of the lever.