Problem1: Inertia tensor Four point masses are connected by massless rods as shown in the figure. TYL CL (a) Find inertia tensor (b) Determine a set of principal axes and the cor responding inerti...

Question

Question

Problem1: Inertia tensor Four point masses are connected by massless rods as shown in the figure. TYL CL (a) Find inertia ten

Answer 1

Answer #1

6 J o

$\alpha, \beta,\gamma \text{ are angles with x,y, and z axes respectively measured counter clockwise}$

eiaen vales are 1-2 0 ズニ20 ± 16-18,2 30

Answer 2

Similar Homework Help Questions

The four masses shown in FIGURE EX12.13 are connected by massless, rigid rods.

14. Il The four masses shown in FIGURE EX12.13 are connected by massless, rigid rods. a. Find the coordinates of the center of mass. b. Find the moment of inertia about a diagonal axis that passes through masses B and D.
Four masses are at corners of a rectangle connected by massless rods as shown in Figure...

Four masses are at corners of a rectangle connected by massless rods as shown in Figure 0.27. (i) What is the moment of inertia of the system when the axis of rotation is along the x-axis? (ii) What is the moment of inertia of the system when the axis of rotation is along the y-axis? (iIi) What is the moment of inertia of the system when the axis of rotation goes through point O and is perpendicular to the xy-plane....
The three masses shown in (Figure 1) are connected by massless, rigid rods.

The three masses shown in (Figure 1) are connected by massless, rigid rods. Part A Find the coordinates of the center of gravity. Part B Find the moment of inertia about an axis that passes through mass A and is perpendicular to the page. Part C Find the moment of inertia about an axis that passes through masses B and C.

Three point masses are connected by massless rods.

Moment of inertia for point masses Three point masses are connected by massless rods. Determine the moment of inertia about an axis perpendicular to the page and that passes through a) the 150g mass, b) the 100 g mass, and c) the 200 g mass.
Four masses, connected by massless rods, form a square of side 2.40 m, as shown. Find...

Four masses, connected by massless rods, form a square of side 2.40 m, as shown. Find the center of mass of the system. 2.Ym ANSWER: For the arrangement in the previous problem, find the moment of inertia for rotation about the diagonal of the square that passes through the origin. ANSWER
4) Rotational Inertia: point masses Four masses are held in position at the corners of a...

4) Rotational Inertia: point masses Four masses are held in position at the corners of a rectangle by light (massless) rods (see figure). Find the rotational inertia (moment of inertia) of the system (a) about the x-axis, (b) about the y-axis (c) about an axis through O perpendicular to the page. 4) Rotational Inertia: point masses Four masses are held in position at the corners of a rectangle by light (massless) rods (see figure). Find the rotational inertia (moment of...

Four point particles, each with mass 1/4m, are connected by massless rods so that they form...

Four point particles, each with mass 1/4m, are connected by massless rods so that they form a square whose sides have length a. A) what is the moment of inertia I (COR) of this object if it is spun around an axis going through the center of the square perpendicular to the plane of the square?(COR: Center Of Rotation) B) what would be the moment of inertia I (AOR) of the square if it were spun around axis going through...
Four masses are arranged as shown. They are connected by rigid, massless rods of lengths 0.840...

Four masses are arranged as shown. They are connected by rigid, massless rods of lengths 0.840 m and 0.500 m. What torque must be applied to cause an angular acceleration of 0.750 rad/s about the axis shown? B A T Lm A 4.00 kg B 3.00 kg Axis C5.00 kg D 2.00 kg 0.500 m- where L 0.840 | N-m
Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located...

Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located at the origin (0, 0). (a) Find the x- and y-coordinates of the center of mass. (b) Find the moment of inertia of this system of three connected masses when rotated about the r-axis that passes through mass B? (c) If this system is rotated about the r-axis, from rest to an angular speed of 6 rad/s in time t = 3 s, what...

Four particles with equal masses M are connected by rods whose mass can be neglected. Find...

Four particles with equal masses M are connected by rods whose mass can be neglected. Find the moment of inertia, about the indicated axis, of the following: (a) the cross in figure a, (b) the square in figure b.