Q3/ A mass has (1 kg) connected to spring has a stiffens (16 N/m) move in simple harmonic motion with (20 cm) amplitude. Find: a) max Velocity and max Acceleration. b) The Velocity and Acceleration at distance (12 cm) from equilibrium position c) The time required to move the body from (X= 16 cm).

Q3/ A mass has (1 kg) connected to spring has a stiffens (16 N/m) move in simple harmonic motion with (20 cm) amplitude. Find: a) max Velocity and max Acceleration. b) The Velocity and Acceleration at distance (12 cm) from equilibrium position c) The time required to move the body from (X= 16 cm).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Q2\ Amass is suspended from a spring system as shown in fig. Determine the natural frequency of the…

A: Solution 2 - In this problem the spring with spring constant k2 and k3 are in parallel arrangement.…

Q: Q7/ A ball of mass 0.4 kg is thrown against a brick wall. When it strikes the wall it is moving…

A: Given Data Mass of ball:- 0.4 kgThe velocity of ball at left direction:-30 m/secThe velocity of ball…

Q: Consider a mass-spring system that oscillates with frequency w when there are no external forces…

A: Initial position = 8 cm Initial velocity = 4 cm/s time t = 9 s Hammer force = 7 grs cm/s2

Q: 3.22. For the system shown in Fig. P3.11, derive the differential equation of motion for small…

Q: Problem 4.5 A cart of mass M slides freely (no friction) on horizontal tracks. Hanging from the cart…

A: A cart of mass M slides freely No function on elements horizontal track,hanging from the cart is a…

Q: 2m →fi(t) (4) *fe a) Determine DoF b) Obtain equations of motion c) Obtain the state-space nodel of…

Q: The frequency of a damped harmonic oscillator is one-half the frequency of the same oscillator with…

A: Natural frequency: The number of vibrations executed by a body when it is vibrating freely in one…

Q: Q.5 A 6-kg uniform cylinder of radius 50 cm can roll without sliding on a horizontal surface and is…

Q: mass ! hangs on the end of a cord around a pulley of radius 5 and moment of inertia 6, rotating with…

Q: 2- Plumb line is held steady while being carried along in a moving train. If the mass of the plumb…

Q: PLEASE SOLVE USING METHODS LEARNED IN DYNAMICS ENGINEERING ONLY L d A Suppose the system in Q. 1(a)…

A: Given Data : assume wall act as linear elastic material. stiffness = k load P = (at left end) given…

Q: Find the axial displacement of a rod given properties L(length), A (cross sectional area), E…

Q: A particle of mass 'm' is moving in a potential v(x) = -ax? + bx4 . Find the time period and…

A: Given data: The potential equation, Vx=-ax2+bx4. Calculate the conservative force.…

Q: Q3) A 16 lb cylinder stretches a spring 2/27 inches by itself. The spring is initially displaced 1/2…

A: according to the given data

Q: Consider a damped mass-spring system with mass 3 kg, spring constant 10 N /m, and damping…

A: Given; The mass of system, m = 3 kg The spring constant, k = 10 N/m The damping coefficient, c = 5…

Q: Consider a spring mass system with following parameter. m = 1,c = 4, k = 5, force -3x = e cos 2x…

A: Write the general expression of the spring-mass system. Ft=md2xdt2+cdxdt+k Substitute m=1, c=4,…

Q: A slider of mass 1 kg travels in a cylinder with a velocity 80 m/s and engages a spring - damper…

Q: mechanical vibrations 3mi+4cx+ 2kx = 4cj+3ky For the system given above, obtain the state-s pace…

Q: 3m ä+4cx+2kx = 4cj+3ky For the system given above, obtain the state-s pace representation,

A: Given

Q: A spring is stretched (250mm) to the equilibrium position when attached to mass of 15 kg. If the…

A: Given m=15 kg δ=250 mm=0.25 m g=9.81 m/s2 Condition: xt=0=100 mm=0.1 mx˙t=0=150 mm/s=0.15 m/s

Q: ) Find the equation of motion of the system in terms of the given parameters. b) Since M=4 kg, m=1…

A: For solution refer below images.

Q: Q3: Find the transfer function G(s)=X3(s)/F(s) for the translational mechanical system shown blow 2…

Q: You have a prototype Slinky with a lump of coal at the end. This forms a damped spring-mass system.…

A: Here Given:- m=1 k=3 b=1

Q: A mass with a 60 g vibrate at the end of a spring. The amplitude of the motion is 0.394 ft and a…

Q: 3. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no…

Q: 2k wwww 2m (+)す4 a) Determine DOF b) Ob tain eq vations of motion c) Obtain the state-space nodel of…

Q: Q. For the Shown mechani l system, Find the reledion between F and X. Yand X,Then draw the block…

A: Here the Free Body Diagram at m1

Q: A glider of mass 0.350 kg is placed on a frictionless, horizontal air track. One end of a horizontal…

Q: Part b) Now a force F(t) is added to the system as shown in Figure Q1b. Derive the equation of…

Q: 3.22. For the system shown in Fig. P3.11, derive the differential equation of motion for small…

Q: 1. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no…

A: Dear student, According to the guidelines I am allowed to answer only one…

Q: FIND THE DIFFERENTIAL EQUATION FOR THE SYSTEM Mi No fuiction M니

Q: Q2) Consider a mass (m=5 kg) connected to a massless rod of length (L=2 m) to swing about point O,…

A: Given; The mass, m = 5 kg The length of rod, L = 2 m The spring constant, k = 10 N/m The unstreched…

Q: given in the figure a mass of three arcsand a transformation element, you can find the equivalence…

A: given data m=2 kg, k=10N/m, c=0.1 Ns/m

Q: Find the Equation of motion thenatural Frequency syydeacdse for system below K2 X2 X3

A: For solution refer below images.

Q: A 0.1kg object oscillator as a simle harmonic motion along the x _axis with a frequency f=3.18 hz at…

Q: .For the system shown in Fig. P3.7, let m =0.5 kg, k1 =k2 =k3 = 1000 N/m, and c = 10N s/m. Derive…

Q: 6. Obtain the dynamic equation of the system given below in terms of the position of mass M. tew…

A: The study of how moving objects act is known as dynamics. The branch of mechanics that analyzes…

Q: The roller cam in Fig. 3 imparts a periodic motion to the mass-spring system, as shown. Use the…

A: Given- m=1 kg k=100 N/m y=0.2m and m=1 k=100 N/m y=0.2m μ=0.1

Q: A mass m oscillates on a spring with spring constant k, with amplitude d. At the moment when the…

A: Before collision ,When the block is at a position,x=d2 there is only mass m, assuming velocity of…

Q: 5.10 * The force on a mass m at position x on the x axis is F = -F, sinh ax, where F, and a are…

Q: Воду Мass M, Suspension Mass M. K, b, 1) Find the equation of the two functions... 2) Find the…

A: first of we have to draw free body diagram of the system , Now the forces on mass m1 can be valued…

Q: For the spring mass system find the displacement as function of time and the velocity and…

A: Given, w=47.25 lbk=20 lb/ftx0=4 ftv0=x˙0=10 ft/s

Q: Two identical springs of spring constant 7580 N/m are attached to a block of 0.245 kg as shown in…

Q: Here is a simplified model of vehicle suspension system. The vehicle is being driven on the road…

A: For the clarity in understanding assume road profile as “sin(4t)” and x and y for horizontal and…

Q: Part b) Now a force F(t) is added to the system as shown in Figure Q1b. Derive the equation of…

A: For solution refer below images.

Q: Q4 Find the transfer function for a single translational mass system with spring and damper m

Q: Q.1 The system shown below consists of a block of mass m and a cylinder of mass 2m. The block and…

Q: Mechanical Engineering Question

A: given: mass of spring=4kg radius=0.75m k=50N/m

Question

Q3/ A mass has (1 kg) connected to spring has a stiffens (16 N/m) move in
simple harmonic motion with (20 cm) amplitude. Find:
a) max Velocity and max Acceleration.
b) The Velocity and Acceleration at distance (12 cm) from
equilibrium position
c) The time required to move the body from (X= 16 cm).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A single-story building frame is subjected to a harmonic ground acceleration as shown in Figure 7. Assume that M =1,099 kg, A=0.32 m/s^2 , ω=1.6 r/s and K=10,060 N/m. Find the maximum amplitude of the steady state motion of the floor in millimetre (mm).
A 0.1kg object oscillator as a simle harmonic motion along the x _axis with a frequency f=3.18 hz at a position x1,the object has a kinetic energy 0.7j and a potential energy 0.3j,the amplitude of oscillation A is:
A simple pendulum is subjected to an initial excitation and oscillates in a frequency of 0.8 Hz. If the length of the pendulum is increased by 50%, find the new period of oscillation (in .sec)
(a) Find the periodic-time (T) of a simple pendulum if its natural frequency ( wn = 45+12 ) rad/s and length is 2 m .
Find the natural frequency in Hertz of an undamped mass-spring system with a m= 100 grams and k= 100 N/m
Find the periodic-time (T) of a simple pendulum if its natural frequency (ω_n= 54+12) rad/s and length is (35+12) cm.
Find the natural frequency of a spring having a mass of m and a stiffness k.
Find the maximum vertical acceleration of the floor of a truck trailer, in g, if the suspension frequency is 7 Hz and the floor exhibits a single amplitude vertical displacement of 4 cm.
A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f = 3.185 Hz. At a position x1, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. What tge amplitude of oscillation
The nat. period of an undamped system is 3 s, but with a damping force that is proportional to the velcoity, the period becomes 5 s. Find the differential equation of motion of the system and its solution.
A glider of mass 0.350 kg is placed on a frictionless, horizontal air track. One end of a horizontal spring is attached to the glider, and the other end is attached to the end of the track. When released, the glider oscillates in SHM with frequency 4.15 Hz. Find the period of the motion. Find the angular frequency of the motion. Find the force constant kk of the spring. Find the magnitude of the force that the spring exerts on the glider when the spring is stretched by 0.0200 m.
If a mass of 6 kg oscillates on a spring having a mass 3 kg and stiffness 11200 N/m, then the natural frequency of the system in rad/sec will be