ISRO Scientist or Engineer Mechanical 2008

Ratio of the radii of the planets $$P_1$$, and $$P_2$$, is k and ratio of the accelerations due to gravity on them is s. Ratio of escape velocities from them will be

Couple M is applied at C on a simply supported beam AB. The maximum shear on AC will be

A short column of external diameter D and internal diameter d, is subjected to a load W, with an eccentricity e, causing zero stress at an extremefiber. Then the value of ‘e’ must be

A beam AB is hinge-supported at its ends and is loaded by couple P.c. as shown in the figure. The magnitude of shearing force at a section x of the beam is

There are two bars of equal length and equal volume and same material, one having stepped diameters and other having uniform diameter. If maximum stress produced in both bars is
same, then stored energy will be

The given figure shows the shear force diagram for the beam ABCD. Bending moment in the portion BC of the beam

$$\sigma_x, \sigma_y$$ and $$\tau_{xy}$$ are the rectangular stress components at a point. The radius of Mohr’s circle is

For the case of a slender column oflength Land flexural rigidity EI built in at its base and free at the top, the Eulers critical buckling load is

When a beam is subjected to a transverse shearing force, the shear stress in the upper fibers will be

Angle made by $$2i - 3j + 4k$$ with the z-axis is