ISRO Scientist or Engineer Mechanical 2006

A mass m attached to a light spring oscillates with a period of 2 sec. If the mass is increased by 2 kg, the period increases by 1 sec. The value of m is

A short column of external diameter D and internal diameter d carries an external load W. The greatest eccentricity which the load can have without producing tension on the cross section of the column is

If the radius of wire stretched by a load doubled, then its Young’s modulus will

Longitudinal stress in a thin cylinder subjected to internal pressure is

Maximum deflection in cantilever due to pure bending moment M at its end is

If Poisson’s ratio for a material is 0.5, then the elastic modulus for the material is

A cantilever beam of negligible weight is carrying a mass at its free end, and is also resting on an elastic support of stiffness $$k_1$$ as shown in the figure below.If $$k_2$$ represents the bending stiffness of the beam, the natural frequency (rad/s) of the system is

The figure shows 3 small spheres that rotate about a vertical axis. The perpendicular distance between the axis and the center of each sphere is given. Mass of highest rotational inertia about that axis, is

Which of the following relationships between the force F on a particle and the particlees position x implies simple harmonic oscillation

A mass of 100 kg is held between two springs as shown in figure. The natural frequency of vibration of the system in cycles/second is