Problem 7: A 2 kg mass is hung from the end of a helical spring an vibrating vertically. The mass makes 100 complete oscillations in Determine the stiffness of the spring. Also calculate the maximum ampli vibration if the mass is not to leave the hook during its motion.

Q: 3) A one-degree-of-freedom system has an effective mass M-4-kg, an effective spring stiffness…

A: To find  (a) The natural frequency ωn and critical damping ratio ζ (b) The response q as a function…

Q: A 1.5 kg mass is attached to a vertically oriented spring, stretching it 0.45 m. The mass is moved…

A: Solution: After adding a mass of 1.5kg the spring is stretched to a equilibrium position that is…

Q: mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a…

A: m = 3/32 kg k = 3*4 = 12 F(t)=0

Q: A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given…

A: Solution: Given Data: m=25 kgc=50 N-s/mk=169 N/mxo=5 mvo=16 m/s   To Find: xt=C1e-ptcosω1t-α1u(t) =…

Q: A 1.5 kg mass is attached to a vertically oriented spring, stretching it 0.45 m. The mass is moved…

A: Solution: When mass of 1.5kg is added to the spring, the spring elongates by 0.45m, this is known as…

Q: The values of a, C, and bare > and , respectively.

A:

Q: Use modal analysis to calculate the response of the drive train system of Problem 4.44  given by the…

A: Given : To find : Modal analysis

Q: Find the natural frequency of a spring having a mass of m and a stiffness k

A: The natural frequency of a spring refers to the frequency at which it oscillates when subjected to a…

Q: A set of scales consists of an instrumented spring from which the mass of the measured object can be…

A: Initial mass, mi=10 kgFinal mass, mf=10+20=30 kg

Q: 14. For the system shown to the right, the disk of mass m rolls without slip and z mcasures the…

A: Let the radius of disc be 'r'.displacement of spring 3k, x'=2rθdisplacement of spring k=displacement…

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.