PROBLEM4: The mass m, stiffness k, and natural frequency , of an undamped SDF system are unknown. These properties are to be determined by harmonic excitation tests. At an excitation frequency of 4 Hz, the response tends to increase without bound (i.e., a resonant condition). Next, a mass Aw=2 kg is attached to the mass m and the resonance test is repeated. This time resonance occurs at f= 3 Hz. Determine the mass and the stiffness of the system.

Q: It is observed experimentally that the amplitude of free vibration of a certain structure modelled…

A: Given data: The amplitude of free vibration of a certain structure modelled as a single degree of…

Q: A telescope with tripod weighs 40 pounds and has geometry as shown in the figure and parameter…

A:

Q: 29. A charged particle with q = 2C is injected into a magnetic field region (B = 3j + 4k T) with a…

A: Step 1:Charge q is 2CVelocity v is (3i^+5j^​)m/sMagnetic field B is (3j^​+4k^)TStep 2:The formula…

Q: A horizontal wire is hung from the ceiling of a room by two massless strings. The wire has a length…

A:

Q: 7.12 When a sound wave with a certain intensity is detected by the tympanic membrane (eardrum) the…

A: Given:- The amplitude of the resultant motion = 1 nm = 1×10-9 m The frequency of the sound = 600 Hz…

Q: 1 A uniform thin rod ( GML2) of length 0.6 m and mass 7.5 kg can rotate in a horizontal plane about…

A: moment of the inertia of the rod    I=ML212mass of the rod    M=7.6 kg mass of the bullet   m=9.9…

Q: The same forces act on two objects having the same masses. The more massive object will experience…

A:

Q: Write cos(17t) cos(9t) of different frequencies. - cos(17t) - cos(9t) = product of two trigonometric…

A: Given data: cos17t-cos9t

Q: c) A block with mass M = 0.5 kg is placed on the block with mass m, at the moment when the block…

A:

Q: 0.72c 0.52c 40 A M E The captain of spaceship A observes enemy spaceship E escaping with a relative…

A: Step 1:   Given the problem:Ship E is moving away from Ship A at 0.52c.Missile M is fired from Ship…

Q: PROBLEMS: An SDF system is excited by a sinusoidal force. At resonance the amplitude of displacement…

A:

Q: Single choice question:  7. About the vibration period of the structure, which of the following is…

A: Vibration period is the time required to  complete one cycle.    frequency =1time period   ωn=12πkm…

Q: 4.0 Draw the shear and moment diagrams for the beam and determine the shear and moment in the beam…

A:

Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.