About a problem relating to rigid body in equilibrium

The asking problem:
The uniform rod AB lies in a vertical plane. Its ends are connected to rollers which rest against frictionless surfaces. Determine the relation between the angles theta and alpha when the rod is in equilibrium.
Note: This is a 2D problem and not a 3D. It was taken from the «Statics of Rigid Bodies in Two Dimensions» section of my static course. The files is in word97 format for PC and not for MAC. And this is all that I have as background information.

My question is, how can I determine this relation in keeping with the equilibrium equation. I have none idea for this.

You apply the two neccessary conditions for equilibrium: rotational equilibrium, and translational equilibrium.

rotational:
This is done by picking a reference point, I chose point A. The sum of torques around point A is then set to zero. There are two torques, one caused by gravity call T1 and one caused by reaction force at point B, call T2

T1 ...

Solution Summary

The problems relating to rigid body in equilibrium are provided. The relation between the angle theta and alpha when the rof is in equilibrium is given.

The rigidbody shown in this diagram is moving such that the velocities of points A and B are the same. The magnitude of the velocity of point A is 25m/s and the distance between points A and B is 10m.
Determine the magnitude of the angular velocity of the rigidbody.
Express your answer in rad/s and give you answer to 4

A body of mass 50 kg is suspended by two light, inextensible cables of lengths 15 m and 20 m from rigid supports placed 25 m apart on the same level. Find the tensions in the cables. Note that, by convention, "light" means "of negligible mass." Take g = 10 m/(s^2). This is an application using vector addition.

One end of a post weighing 500N and with height h rests on a rough horizontal surface coefficient of static friction equal to .40. The upper end is held by a rope fastened to the surface and making an angle of 37 degrees with the post (see attached figure). A horizontal force F is exerted on the post as show in the attached diag

** Please see the attachment for the complete problem description **
A rigidbody is spinning with an angular speed of 60pie radians per second (1800 rpm). The axis of rotation lies in the direction of the vector 2i + 2j -k. A small particle on the spinning body with mass of one kilogram passes through the point P with positi

A rigidbody consists of six particles, each of mass m, fixed tot he ends of three light rods of length 2a, 2b, and 2c, respectively, the rods being held mutually perpendicular to one another at their midpoints.
a) Show that a set of coordinate axes defined by the rods are principal axes, and write down the inertia tensor for

The earth maybe considered as a rigid axisymmetric body with a small quadrupole deformation. (There are two problems (a) and (b))
(a) If the exterior gravitational potential is written as:
V(r)=-M_e*G*1/r*[1-J(R_e/r)^2* P_2(costheta)]
Here, M_e is the mass of the earth, R_e is the equatorial radius and theta the colatit

1. The vector expression of an acceleration can be obtained by:
a. Differentiation position vector once
b. Differentiation velocity vector once
c. Differentiation position vector three times
d. Differentiation velocity vector twice
2. The work of forces acting on a rigidbody can be expressed as:
a. the dot product

Explain the difference between Nitrogen Equilibrium and positive and negative Nitrogen balance.
Would you please give me an example of when these conditions occur?
I am having difficulty finding any info. on this subject

Problem:
Consider the following gas-phase equilibrium reaction:
N2(g) + 02(g) <-- (double arrow for equilibrium) --> 2NO(g)
Kc = 4.10 X 10 ^-4 at 2000 Degrees Celsius.
If 1.0 mol of NO is introduced into a 1.0 L container at 2000 Degrees Celsius, what is the concentration of NO when equilibrium is reached.