MECHANICAL VIBRATIONS 3.22. For the system shown in Fig. P3.11, derive the differential equation of motionfor small oscillation. If m = m2 = 1 kg, ki = k2 = 1000 N/m, c = c2 =10N- s/m, a = b = 0.5 m, and I = 1 m, find the solution after Is providedthat the initial angular displacement is zero and the initial angular velocity is5 rad/s. Assume that the rod is massless.ak2m2Fig. P3.11

Answered: Image /qna-images/answer/0a514d93-fa71-40a1-8581-eeb5dc1665cb.jpg

Answered: 3.22. For the system shown in Fig.…

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

Similar questions

Use the energy method to deriving the equations of motion for systems in Fig. 3, 4. Then calculate the resulting displacements due to the application of 1 N force.
P3.8 For the mechanism shown in Figure P3.8, deter- O mine the linear velocity of point D using instanta- neous centers. = 2.5 in; ro.A = 1.0 in =D1.5 in; fo,c = 1.0 in; fo,0. "o,0, TAB = 2.5 in; ro,B =1.5 in; ro.c = 2.0 in Tcp = 1.0 in; rcE = 1.5 in; ro.E 0, = 45°; 0, = 5.0 rad/sec CCW %3D %3D = 2.0 in %3D %3D 3 4. PA 2. 02 O, O 1 1 9. DE Figure P3.8
TORSIONAL SYSTEM Q-4 For the system in fig (4) find : 1. F.B.D 2. Equation of motion & wd. 3. e(t), for 3 < 1. 4. 8.
Answer the following problem and write your complete solution and graph. 1. Write the equation of motion for the system given in the figure for the case that F(t) = F cos wt and the surface is friction free. Does the angle affect the magnitude of oscillation? Diagram: wwwm mass F(0) Fig. 4.4 Mass tied on the spring and Dashpot
Suppose a mass-spring system has spring constant 712 N/m and mass 4.4 kg. The mass is displaced in the negative x-direction by 0.22 m and set in motion at 2.55 m/s in the positive x-direction. Calculate the phase shift as a positive angle in radians, assuming a cosine solution.
Prob. 2: An undamped system vibrates with a frequency of 20 Hz and amplitude of 1 mm. Calculate the maximum amplitude of the system's velocity and acceleration.
Four equal, uniform rods of mass m and length 2a are hinged together to form a rhombus ABCD. The point A is fixed, while C lies directly beneath it and is free to slide up and down. The whole system can rotate around the vertical. Let 0 be the angle that AB makes with the vertical, and o be the angular velocity around the vertical, as shown in figure 3. Find the Lagrangian for this system and show that there are two conserved constants of motion. B Figure 3: The rotating rhombus.
Q3. A cam in a large machine can be modeled as applying a 15,000 N-force over an interval of 0.01 s. This can strike a valve that is modeled as having physical parameters: m = 10 kg, c = 20 N s/m, and stiffness k = 8000 N/m. The cam strikes the valve once every 1 s. Calculate the vibration response, x(t), of the valve once it has been impacted by the cam.
In the system pictured below, point B slides with velocity Vg. Given: B, l, vB Find: The velocity vc of point C by calculation. B.
Q.5 A 6-kg uniform cylinder of radius 50 cm can roll without sliding on a horizontal surface and is attached by a pin at point C to the 4-kg horizontal bar AB. The bar is always horizontal and attached to two springs, each of constants k= 5 kN/m as shown. If the bar is moved 2 cm to the left side and released: a) Find the resulting period of oscillation, b) Find the maximum velocity and maximum acceleration of point C, and c) Find the maximum angular velocity and maximum angular acceleration of the cylinder.
3.35. Obtain the differential equations of motion of the vehicle system model shown in Fig. P3.13. Assume small angular oscillations. m, 1,1 4₁ Fig. P3.13 m₁
PLEASE SOLVE USING METHODS LEARNED IN DYNAMICS ENGINEERING ONLY d A В Suppose the system in Q. 1(a) above is supported at rest with a vertical linear spring of axial stiffness k at the left end A of the rod. a) Find the period of small vertical vibrations first as a function of L, m, and k, b) Before you calculate a numerical value, using the data given in Q. 1 (b) and k= 200 N/m.

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS