Write the necessary equation of the object shown in figure below. F. R, R. Take the origin of the torque equation about an axis perpendicular to the page through the point O. (Let counterclockwise torque be positive and let forces to the right and up be positive. Use any variable or symbol stated above along with the following as necessary: F, for the magnitude of Fg.) EF = = 0 EFy= Στ- = 0

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**Title**: Equilibrium of a Rigid Object

**Text**:

Write the necessary equation of the object shown in the figure below.

The figure depicts a rigid object in equilibrium. It is represented as a rod, labeled as \( l \), inclined at an angle \( \theta \) with respect to a horizontal axis. The rod is supported at a point \( O \), with several forces acting on it:

- \( F_1 \) directed upwards.
- \( F_2 \) directed downwards at the point \( O \).
- \( F_x \), a horizontal force directed to the right.
- \( F_y \), a vertical force directed upwards.
- \( R \), a reaction force at the support point \( O \).

**Instructions**:

Take the origin of the torque equation about an axis perpendicular to the page through the point \( O \). (Let counterclockwise torque be positive and let forces to the right and up be positive.) Use any variable or symbol stated above along with the following as necessary: \( F_g \) for the magnitude of \( F_g \).

**Equations to Fill**:

- \(\Sigma F_x = \) 0
- \(\Sigma F_y = \) 0
- \(\Sigma \tau = \) 0

These equations are to ensure that the object is in static equilibrium, which means the net force and net torque acting on the object are zero.
Transcribed Image Text:**Title**: Equilibrium of a Rigid Object **Text**: Write the necessary equation of the object shown in the figure below. The figure depicts a rigid object in equilibrium. It is represented as a rod, labeled as \( l \), inclined at an angle \( \theta \) with respect to a horizontal axis. The rod is supported at a point \( O \), with several forces acting on it: - \( F_1 \) directed upwards. - \( F_2 \) directed downwards at the point \( O \). - \( F_x \), a horizontal force directed to the right. - \( F_y \), a vertical force directed upwards. - \( R \), a reaction force at the support point \( O \). **Instructions**: Take the origin of the torque equation about an axis perpendicular to the page through the point \( O \). (Let counterclockwise torque be positive and let forces to the right and up be positive.) Use any variable or symbol stated above along with the following as necessary: \( F_g \) for the magnitude of \( F_g \). **Equations to Fill**: - \(\Sigma F_x = \) 0 - \(\Sigma F_y = \) 0 - \(\Sigma \tau = \) 0 These equations are to ensure that the object is in static equilibrium, which means the net force and net torque acting on the object are zero.
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