1 a wedge of a sphere of radius 29 cm similar to one, Ask an Expert

Academics

1. A wedge of a sphere of radius 29 cm (similar to one segment of an orange) is oriented so that the axis is aligned with the z-axis, one face is in the xz plane, and the other is inclined at an angle of = 53o, as shown. The wedge is made of metal having a density of 7500 kg/m3. In the co- ordinate system shown, compute a) Ixx, b) Iyy, and c) Izz.

2. In the coordinate system shown, compute a) Ixy, b) Ixz, and c) Iyz.

3. What are the principal moments of inertia (i.e., the eigenvalues) for this object? List them from smallest to largest.

4. Determine the unit eigenvector (i.e., having a magni- tude of 1) corresponding to the first eigenvalue listed in the previous problem. Find the version that has a positive x- component. Enter a) the x-component, b) the y-component, and c) the z-component of the eigenvector.

5. Determine the unit eigenvector corresponding to the second eigenvalue listed in the previous problem. Find the version that has a positive z-component. Enter a) the x- component, b) the y-component, and c) the z-component of the eigenvector.

6. Determine the unit eigenvector corresponding to the third eigenvalue listed in the previous problem. Find the ver- sion such that the cross product of your first eigenvector with your second eigenvector equals your third. Enter a) the x- component, b) the y-component, and c) the z-component of the eigenvector.

View complete question

Physics, Academics

Category:- Physics
Reference No.:- M91000259

Have any Question?Write your Review or question?

Related Questions in Physics

The equation for motion for the ideal spring-mass system

The equation for motion for the ideal spring-mass system as derived in class is, ma+kx=0, where, m=mass, a=acceleration, k=spring stiffness, and x=displacement. 1) Describe briefly how the equation for motion arises from ...

Question part a which of the following gives the correct

Question: Part A: Which of the following gives the correct permitted values of ml for l=2? Part B: A second important result is that electrons will fill the lowest energy states available. This would seem to indicate tha ...

Question a point charge is released from rest in a region

Question: A point charge is released from rest in a region containing an electric field. The charge will start to move: (A) in a direction that makes its potential energy increase (B) in a direction that makes its potent ...

Problem an athlete performing a long jump leaves the ground

Problem: An athlete performing a long jump leaves the ground at a 28.2 degree angle and lands 7.67 m away. A) What was the takeoff speed? B) If this speed were increased by just 5.0%, how much longer would the jump be?

Problem a student knows that an ambulance siren has a

Problem: A student knows that an ambulance siren has a frequency of fs = 393 Hz. He measures, when the ambulance is approaching him, the frequency fo = 415. Assume the speed of sound is 343 m/s in this problem. Randomize ...

Question a researcher observes hydrogen emitting photons of

Question: A researcher observes hydrogen emitting photons of energy 1.13eV . What are the quantum numbers of the two states involved in the transition that emits these photons? Express your answers as integers separated ...

Question in a science museum a 110kg brass pendulum bob

Question: In a science museum, a 110kg brass pendulum bob swings at the end of a 15-meter-long wire. The pendulum is started at exactly 8:00 a.m. every morning by pulling it to 1.5m the side and releasing it. Because of ...

Question a solenoid 400 cm in diameter and100 cm long has

Question: A solenoid 4.00 cm in diameter and10.0 cm long has 500 turns and carries a current of 15.0 A. Calculate the magnetic flux through the circular cross-sectional area of the solenoid. The response must be typed, s ...

If you pick up a 57 kg object from the ground and lift

If you pick up a 5.7 kg object from the ground and lift it to a height of 0.98 m above the ground in 1.66 seconds, how much power is expended? (Use the value of 9.8 m/s 2 for the acceleration of gravity.) Please provide ...

Propane boilers are a common technology for domestic

Propane boilers are a common technology for domestic heating, and have a typical energy efficiency of 90%. The chemical formula of propane is C 3 H 8 , its lower heating value is 50,400 kJ/kg, and its carbon content by m ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Physics Expert