Study of Rectilinear Motion 
1. The equation of free vibration of a system is d2x/dt2 + 64π2x = 0, its natural frequency would be,
2. The equation of motion of a spring mass damper system is d2x/dt2 + 3 dx/dt + 9kx = 10 sin(5t). The damping factor for the system is,
3. A vehicle suspension system consists of a spring and damper. The stiffness of the spring is 3.6 kN/m and the damping constant of the damper is 400 Ns/m. If the mass value is 50 kg, then the value of damping factor ζ and damped natural frequency (fd) are,
4. In an oscillating mass-spring system, the velocity of the mass is greatest when the mass is ____
5. An object attached to an ideal spring executes simple harmonic motion. If its total energy needs to be doubled, we need to _____
6. A mass 'm' is attached to a spring oscillates with a period of 2 seconds. If the mass is increased by 2 kgs, the period is increased by 1 seconds , the value of mass is,
7. A vibrating system consists of a mass of 200 kg and a spring stiffness of 80 N/m, the natural frequency of vibration of the system is,
8. A block whose mass is 4 kg, is fastened to a spring of spring constant 64 N/m. The block is pulled from its equilibrium position in a frictionless surface and released, the period of resulting motion in seconds is,
9. A particle attached to a vertical spring and pulled down to 0.01 m below its mean position and released , its initial acceleration is 0.16 m/s2, the time period in seconds will be,
10. Stretching a spring increases its ______________ energy
11. Frequency of a spring is 'n' after suspending mass 'M'. Now after suspending mass '4M' the frequency will be,
12. The period of oscillation of a mass 'M' suspended from a spring of negligible mass is T, if along with it another mass M is also suspended, the period of oscillation will now be