Equilibrium in a Single Plane Apparatus Model MT 109

The principle of “freeing” in engineering mechanics allows forces and moments acting on a body to be made visible. In this process, a body or a system such as a bar are virtually removed from the environment. All forces acting on the body or on the system are replaced by standardized symbols. This results in a simplified model of the body or system, which clearly demonstrates the relationships between forces and moments. In the experiment with Sci-tech Equilibrium in a Single Plane Apparatus Model MT 109, we demonstrate the principle of “freeing”, which refers to establishing static equilibrium. The experiment uses a model of a ladder with a sliding clamp weight. The top support is designed as a movable support and the bottom one as a fixed support. The real effective support forces can be fully compensated by applying cable forces in the x and y directions. The ladder is in a state of equilibrium without changing the angular position and without the need for structural support. The ladder is “free”. For students, the result is a convincing example for the principle of “freeing” in statics. The parts of the experiment are clearly laid out and securely housed in a storage system. The entire experimental setup is constructed in the mounting frame.

Size: 110cm x 40cm x 95cm (LxWxH)
Weight: 15 kg

Item Description

The principle of “freeing” in engineering mechanics allows forces and moments acting on a body to be made visible. In this process, a body or a system such as a bar are virtually removed from the environment. All forces acting on the body or on the system are replaced by standardized symbols. This results in a simplified model of the body or system, which clearly demonstrates the relationships between forces and moments. 

In the experiment with Sci-tech Equilibrium in a Single Plane Apparatus Model MT 109, we demonstrate the principle of “freeing”, which refers to establishing static equilibrium. The experiment uses a model of a ladder with a sliding clamp weight. 

The top support is designed as a movable support and the bottom one as a fixed support. The real effective support forces can be fully compensated by applying cable forces in the x and y directions. 

The ladder is in a state of equilibrium without changing the angular position and without the need for structural support. The ladder is “free”. For students, the result is a convincing example for the principle of “freeing” in statics. 

The parts of the experiment are clearly laid out and securely housed in a storage system. The entire experimental setup is constructed in the mounting frame.

Technical Specifications

Specifications

  1. Development of the static principle of “freeing”
  2. Full compensation of the support forces by cable forces
  3. Sliding clamp weight
  4. Determine the position of the clamp weight via steel rule with millimetre scale
  5. 2 supports (1x fixed support, 1x movable support)
  6. 3 guide pulleys
  7. Storage system for parts
  8. Experiment setup in the mounting frame

 

Technical Specifications

Ladder 

  • length: 650mm
  • weight: 2N
  • built-in rule, graduation: 1mm

Clamp weight: 20N

Weights 

  • 3x 1N (hanger)
  • 9x 5N
  • 12x 1N

Supports 

  • 2, clamped to mounting frame

Steel rule  

  • length: 1000mm, graduation: 1mm

 

Experiments

  • Experimental development of the core principle of “freeing” in statics
  • Calculation of the support forces for a given position of the clamp weight and for a known angle of inclination
  • Application of the 1stand 2nd equilibrium conditions in statics and full compensation of the support forces by cable forces
  • How does the clamp weight position affect the support forces
  • How the angle of inclination affects the support forces

Model Number

MT 109