Q1(a) has a maximum velocity of (1) m/s with (4) second(s) of the period of oscillator. If the mass is released with an initial displacement of (8) mm, (i) Define appropriate equation of ?, ?̇ and ?̈for simple harmonic motion (ii) Determine the amplitude, initial velocity, maximum acceleration, and phase angle of the system

Q: Q. 3 For a Damped Simple Harmonic Oscillator, wo? - w? = 10-"wo?, %3D where (w) is the frequency of…

A:

Q: Find the motion of the system in the figure below with mass 0.25 kg, no damping, spring constant 1…

A: Write the differential equation of motion.…

Q: Q2 Figure Q2 shows the schematic diagram of wind turbine which used in power plant. By using the…

A:

Q: The block diagram given below; A) Reduce it B) G1(s)=2/s ; G2(s)=1/4s+2 ; G3(s)=4 ;H(s)=0.5…

A: Given:-

Q: Describe briefly please

A: Given data; In a single degree of freedom underdamped spring -mass-damper system as shown in…

Q: k2 m C1 -m

A: given data;

Q: al frequency ( w

A: given:ωn=45+12 rad/sl=2m

Q: Question 4 A uniform rod of length L and mass M and is pivoted without friction about an axis…

A: Let the spring is displaced by x as follows, The delfection x can be given in term of θ as,x=L2θThe…

Q: The beam shown in Figure 2(a) has a mass of 31 kg, length of 2.6 m and a pivot about point C. A…

A: To draw: Free body diagram of the beam, if the equation of motion of the beam is…

Q: Give an equation for the acceleration of an object executing simple harmonic motion with frequency w…

A:

Q: mass m, moving with velocity vi strikes the mass M of a damped single-degree-of- freedom system as…

A:

Q: Q6. For a point at distance 50 m and angle 450 to the axis which of the following are correct?…

A: Given data:  a = 5 cm = radius of the piston q = 45° = angle between the axis of the piston and the…

Q: How is constant amplitude sustained in forced oscillations?

A: When the oscillation is carried out by external force then this is known as forced oscillation.

Q: a)    Find the periodic-time (T) of a simple pendulum if its natural frequency (ω_n= 54+ 21) rad/s…

A: Given- A simple pendulum 1) Natural frequency ωn= 75 rad/s The time period (T)  =2πωn==2×π75 = 0.84…

Q: The figure that is attached illustrates a system in which a force F is applied to a mass m2 that is…

A: Given: To find: Convert into four first order equations State space model

Q: A block attached to a spring, oscillates on a frictionless horizontal surface with a period of 0.3…

A:

Q: A second order system has natural angular frequency of 2.Q rad/s and a damped frequency of 1.T…

A: (a) Given that, Natural angular frequency, ωn=2 rad/sec,Damped frequency, ωd=1.8 rad/sec, (i) The…

Q: Figure Q1 shows a three-degree-of-freedom spring-mass system. If all the masses move to the right…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: A baby with a mass of 10.6 kg bounces up and down in his crib. The crib mattress behaves like a…

A:

Q: a) Find the equations of motion for this system. b) What are the natural frequency and damping ratio…

A:

Q: Q.5 The rotating unbalance of a 185 kg machine is 0.65 kg.m. The machine is paced at the midspan of…

A:

Q: Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position where…

A: Given Data t=0, x=-A    [θ=-8°]

Q: QUESTION 3; A body moves with oscillations per 1,5 of 0,21 m is 0,465 Calculate; 3.1 the maximum c

A:

Q: wwwww

A: Given-Information:- Mass of Tear-Drop,m = 2.00 kg Length, l = 0.28 m  T = 11 sg = 9.81 m/s2…

Q: In simple harmonic motion, the displacement is maximum when the: dyldi velocity is maximum O…

A: It is required to choose correct option

Q: 6. An old automobile exhibits a vertical oscillating displacement of maximum amplitude 7 cm and an…

A: For the solution refer below images.

Q: to one of their tires. If the heights above the ground of the two blades of grass are graphed as a…

A: let us start with the assumption that both the leaves are stuck at bottom of their respective wheels…

Q: A mass on a spring is shown below. Let y(t) be the displacement of the spring as a function of time…

A:

Q: Consider the single degree of freedom spring–mass system shown in Fig. where k = 4 x 10$ N/m and m =…

A: Given data Consider the single degree of freedom spring-mass system shown in Fig. where k = 4 x 105…

Q: A piston, moving with simple harmonic motion, has a velocity of 8 m/s, when it is 1 m from the…

A: The given data for this question are,

Q: Q5:- in the fig M= 20 kg, c=7 N.s/m, k=10 N/M, the excitation is 10 sin5t, find natural frequency,…

A: Given:The mass of the body is The spring constant is .The damping coefficient is .The excitation is…

Q: Adjacent antinodes of a standing wave of a string are 20.0 cm apart. A particle at an antinode…

A: As per question, we will solve only part C and D since it is only asked to do. Adjacent antinode of…

Q: Q3/ A mass has (1 kg) connected to spring has a stiffens (16 N/m) move in simple harmonic motion…

A:

Q: The Harmonic Oscillator in Two Dimensions.

A: Given Harmonic oscillator To find Two dimensional equation

Q: A simple harmonic oscillator, of mass m and natural frequency wo, experiences an oscillating driving…

A: Write the expression of motion. d2xdt2+ω02x=acosωt

Q: damping, c m C2 Sliding Crate with Bumper Stop A crate of mass m enters a lubricated slide at a…

A: Given : To find : Governing equation

Q: Find the differential equation that characterizes u(t),

A:

Q: A particle of mass m attached to a rigid support by a support of constant k. At equilibrium, the…

A:

Q: A simple harmonic motion as shown in Figure Q1(a) has a maximum velocity of (P+1) m/s with (Q+2)…

A: Given data: matrix num (ad200107) Vmax=P+1 m/sVmax=1=1=2m/sT=Q+2 sT=2 sx0=R+1 mmx0=7+1=8mm

Q: 1/2 dynamic model of the automobile

A:

Strain Gauges

All the components used in civil engineering and mechanical engineering applications undergo deformations due to induced internal stresses under the application of external loads. Under repeated application of loads, there is a high possibility of failure of the components. Hence, periodic monitoring of the components and determination of stresses are very important.