Question

Problem 2. (15 points) For the body shown below, find the moment of inertia matrix about the reference frame shown which is f

0 0
Add a comment Improve this question Transcribed image text
Answer #1

42 2 (6 y Due to symmetry Ix = Jy = Iz Ix = 1 + I + Iz t ly tast 16 I = me In me² Ver 3st lyn - Me² + Isus me Ion = mez x =

Add a comment
Know the answer?
Add Answer to:
Problem 2. (15 points) For the body shown below, find the moment of inertia matrix about...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Problem 2. (15 points) For the body shown below, find the moment of inertia matrix about...

    Problem 2. (15 points) For the body shown below, find the moment of inertia matrix about the reference frame shown which is formed by the x,y, and z-axes. Subsequently, find the values of principal moment of inertia. Consider each bar to be of mass m and length 1. BARI Gulz 17 BAR BARS shes SA 4

  • Problem 1. (15 points) Recall, the Eulerian angles that we defined in class as shown below....

    Problem 1. (15 points) Recall, the Eulerian angles that we defined in class as shown below. The axes (î, þ, â) are fixed in body frame B and the axes (Î, Ê, Â) are fixed in the inertial reference frame F. The orientation of B with respect to mathF is represented through the angles (0, 0, 4) using a sequence about intermediate z, intermediate y and intermediate z-axis again to obtain body-fixed frame B in the final configuration, from the...

  • Find the Moment of inertia of: a) The rectangular solid formed by 0≤x≤a,0≤y≤b, and 0≤z≤c by...

    Find the Moment of inertia of: a) The rectangular solid formed by 0≤x≤a,0≤y≤b, and 0≤z≤c by calculating Ix, Iy, Iz. [Hint: Compute one of the moments directly and then reason about the other cases via symmetry]. b) The x, y and z axes of a thin plate bounded by the parabola x=−y2 and the line x=−y with the density function defined as δ(x,y) = 1/y. Find the Moment of inertia of: (a) (15 points) The rectangular solid formed by 0...

  • 3) For a sharpened giant pencil, find the mass moment of inertia (MOI) along the x,...

    3) For a sharpened giant pencil, find the mass moment of inertia (MOI) along the x, y, andx axes through the center of mass (find cm of body then calculate Mol about x, y, z) Use 6-step. (10 points) 80 cm liderlend.cylinda Material Density Unit I! p rubber 1.522 g/cm3 pwood 1.0 g/cm 16 cm lead 11.34 R/cm (lead come) (rubber cylinder)

  • Find the moment of inertia of the composite area shown in fiq below. For the x-y...

    Find the moment of inertia of the composite area shown in fiq below. For the x-y centroidal axes 4.00 in 0.50 in 4.00 in 1.00 in

  • Moments of Inertia for Composite Areas Part A Moment of Inertia of a Composite Beam about...

    Moments of Inertia for Composite Areas Part A Moment of Inertia of a Composite Beam about the x axis For the built-up beam shown below, calculate the moment of inertia about the r axis. (Figure 7) The dimensions are d1 = 6.0 in, d2 = 14.5 in, ds = 7.5 in, and t = 0.60 in. Express your answer to three significant figures and include the appropriate units. Learning Goal To section a composite shape into simple shapes so the...

  • Consider the system shown in the figure below. The mass moment of inertia of the bar...

    Consider the system shown in the figure below. The mass moment of inertia of the bar about the point O is JO, and the torsional stiffness of the spring attached to the pivot point is kt . Assume that there is gravity loading. The centre of gravity of the bar is midways, as shown in the figure. Question 2 Consider the system shown in the figure below. The mass moment of inertia of the bar about the point O is...

  • Consider a cylinder of mass M, radius R and length L. (a) Calculate the inertia tensor...

    Consider a cylinder of mass M, radius R and length L. (a) Calculate the inertia tensor for rotations about the center of mass in the frame where the z axis is along the axis of the cylinder. Use cylindrical coordinates, where x = r cos θ and y = r sin θ. (b) Find the inertia tensor in the frame where the center of the “bottom side” is at the origin with the z axis along the axis of the...

  • 1 m Mm F Sl. In the mechanism shown the circular body with the mass moment...

    1 m Mm F Sl. In the mechanism shown the circular body with the mass moment of inertia I about 0. i.e. the center of gravity of the body, rotates about O. The T shaped body with the mass m is attached to that circular k body through the joint A such that OA = r. and it translates along the horizontal direction. The linear spring with stiffness k is placed between the T shaped body and the ground such...

  • -Ja A Figure 2: A model of a tennis racket 5. A tennis racket is modeled as a uniform lamina of an areal density ρ...

    -Ja A Figure 2: A model of a tennis racket 5. A tennis racket is modeled as a uniform lamina of an areal density ρ [kg m-2] that has a shape of an ellipse with the semi-major axis a and semi-minor axis b and a mass m 4Tbp with attached to it uniform rod of length 2a and mass m. The origin of the Cartesian system of coordinates Oryz is placed at the centre of the ellipse as shown in...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT