ISRO Scientist or Engineer Mechanical 2012

A rotating disc of 1m diameter has two eccentric masses of 0.5 kg each at radi of 50mm and 60mm at angularposition of $$0^\circ$$ and $$150^\circ$$, respectively. A balancing mass of 0.1Kg is to be used to balance the rotor. Whatis the radial position of balancing mass?

Two mating spur gears have 40 & 120 teeth respectively. The pinion rotates at 1200 rpm and transmit torque of 20Nm. The torque transmitted by the gear is

The figure below shows a steel rod of $$25 mm^2$$ cross sectional area. It is loaded at four points, Kk, L, M, N. Assume E steel = 200 GPa. The total change in length of the rod due to loading is

Planetary gear is in contact with the fixed gear as shown in the figure. The number of rotations made by the planetary gear for one rotation of the arm is

The Mohr circle reduces to a point when the body is subjected to

Shear stress distribution for a rectangular beam subjected to transverse loading is

Area moment of inertia for the quadrant shown below is

A column of length ‘L’is fixed at bottom end and hinged at the other end. This column is restrained from lateral displacement at $${\frac{1}{3}^{rd}} $$height. The buckling load is given by

A shaft has two heavy rotors mounted on it. The transverse natural frequency considering each rotor separately is 100 hz & 200 hz respectively. The lowest critical speed is

A mass ‘M' is suspended from a ceiling through a string of length ‘L’. This mass moves in a circle of horizontal radius ‘r’ at constant speed such that it is a conical pendulum. The tension in the string will be