Vibration could be both useful and harmful at the same time. Give at least three (3) examples of useful vibration and three (3) examples of harmful vibration. Explain how vibration is classified as useful or harmful in your examples.

Q: Explain how a higher stiffness leads to a smaller period of a harmonic oscillator. Also, explain how…

A: Let us consider a spring - mass system as a harmonic oscillator . Let the spring constant of a…

Q: What is the angle (in degrees) between the bonds based on this new data?

A:

Q: This function can be described by the y(t) = Age-btcos(wt) formula, where Ao is the initial…

A: Time for the first nine oscillations= 11s so, time for one oscillation= 119s=1.22s Period of…

Q: methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the carbon…

A:

Q: Part A,b

A: Part bThe angular frequency of the vibration of the atom is,Substitute the values,

Q: A uniform density stick of length L oscillates as a physical pendulum. It is pivoted a distance x…

A: Distance of pivot from COM = d = x

Q: 8.10** Two particles of equal masses m₁ = m₂ move on a frictionless horizontal surface in the…

A: The Lagrangian of the given system is,For m1=m2=m, the above equation can be written as follows:The…

Q: QI/ The table below shows the values of stress amplitude and life cycles : Fatigue strength SE (Mpa)…

A:

Q: The springs of a 1200-kg car compress 5.1 mm when its 59-kg driver gets into the driver's seat. If…

A:

Q: The force F has a magnitude of 55 lb and acts within the octant shown below. a) Determine the…

A: Given Force (F) = 55 lb β = 45° α = 60° Determine the magnitude of the x,y,z component of F using…

Q: There are three particles of mass m connected to each other and to the walls by (light) springs as…

A: A) Newton's 2nd law for each particle is written as (in the order from left to right):…

Q: A = 1.05i + 1j + 1.08k B = 0.98i + -0.81j + -0.92k What is the angle (in degrees) between the bonds…

A:

Q: If bar AB has an angular velocity wAB = 6 rad/s, determine the velocity of the slider block Cat the…

A: Here we will use sine law. And some basic formula

Q: In the methane molecule, CH4. each hydrogen atom is at the corner of a regular tetrahedron with the…

A: We can calculate the angle between the bonds by using dot product rule  cosθ=A→.B→AB where A, B are…

Q: whose modulus is 100 lb per in. What velocity will the block have at the instant the spring is…

A:

Q: Neglect friction, derive then solve the differential equations governing the free vibration of the…

A:

Q: small generator of mass m is supported by four anti- vibration springs to reduce vibration levels…

A:

Q: Q.3 Replace the force system acting on the member by a force and couple moment at point O. * y 20N…

A: Refer to the figure below :

Q: The value of the vibrational partition function for a sytem is 7, and the value of the rotational…

A: Given: The value of vibrational partition function is 7.             The value of rotational…

Q: QUESTION 6

A: Answer            C. Elastic limit

Q: 2 - An aluminum alloy specimen of gauge length 75 mm and of diameter 11.28 mm was subjected to a…

A: SOlution: given that L = 75 mm d = 11.28 mm fracture load  = 19 kN

Q: Object A that is attached to Spring 1 follows a simple harmonic motion. Object B that is attached to…

A:

Q: A- The Ground vibrational frequency of a diatomic molecule HCI was equal to 2883.881 cm-¹ where the…

A:

Q: a) Free vibration takes place at the system's natural frequency, irrespective of the initial…

A: a. Free vibration takes place at the system's natural frequency , irrespective of the initial…

Q: 1. Consider a damped harmonic oscillator whose mass m= 0.05 kg, k=5.0 N/m and damping constant b.…

A: The equation of motion for a damped harmonic oscillator is given by: mx'' + bx' + kx = 0 In the case…

Q: Rods 4. Determine the lowest three natural frequencies, the vibration modes and the corresponding…

A: Suppose mass of rod =m (kg)Length of rod =L (m)Young modulus =E (N/m2)Radius of gyration =k (m)Area…

Q: On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force…

A:

Q: Neglect friction, derive then solve the differential equations governing the free vibration of the…

A: Hint :  To solve this problem convert the problem into simple 2 mass , 3 spring system then find the…

Q: 2- The square plate is deformed into the shape shown by the dashed line. Determine the average…

A:

Q: The piston in the cylinder head of locomotive has a stroke (twice the amplitude) of 0.65 m. If the…

A:

Q: 3. It is required to determine the value of W which can be supported by the two wires shown in the…

A:

Q: The bxdxh rubber blocks shown are used in a double U shear mount to isolate the vibration of a…

A: Concept: The Formula to determine the Shear strain is tan γ=αbhere,α=downward deflectionb=breadth…

Q: The value of the vibrational partition function for a system is 9, and the value of the rotational…

A:

Q: Adhesive capsulitis, also known as a "frozen shoulder" is a condition that affects the motion of the…

A: We first take the freebody diagram of the weight and draw the centripetal forces, force F in the…

Q: In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the…

A:

Q: In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the…

A: Given information: The adjacent bond vectors are A→=1.06 i^+0.8 j^+1.03 k^B→=1 i^-0.92 j^-0.95 k^ We…

Q: ) Define stress, strain and Hook's law, and draw their relation.

A: