ISRO Scientist or Engineer Mechanical 2009

An overhung beam ABC of length 4m is supported at A and B 3m apart. It is loaded with UDL of 5 KN/m along its entire length. Find the value of load ‘P’ at C such that the reactions at A and B are equal and opposite.

If two gears have moment of inertias as $$I_1$$ and $$I_2$$ respectively and mesh with a speed ratio $$\frac{\omega_2}{\omega_1} = n,$$ then equivalent momentof inertia of both gears referred to first one is

A uniform circular ring of mass M and radius r is rotating with an angular speed $$\omega$$ about an axis passing through its center and perpendicular to the plane of the ring.Two identical beads, each of mass m, somehow get attached at two diametrically opposite points. The rotational speed of the ring will become

An electric lift is moving downward with an acceleration of g/3. the vertical force between a passenger in the lift and its floor is equal to

A body of mass 10kg moving with a velocity of 1 m/s is acted upon by a force of 50 N for two seconds. The final velocity of the body is

Proof resilience may be defined as

A plane intersects the co-ordinate axes at $$x = \frac{2}{3}, y =\frac{1}{3}, z = \frac{1}{2}.$$ Whatis the Miller index of this plane?

Relationship between modulus of elasticity E, modulus of rigidity G and Poisson’s ratio $$\mu$$ is

A bar of Length L, area A and Young’s modulus E is subjected to a pulling force P.The strain energy stored in the bar is

What is the expression for crippling load for a column of length L, with one end fixed and other end free?