Transverse Vibrations and Stress in a Body

When a body is subjected to transverse vibrations, the stress induced in the body will be tensile stress.

Explanation:

Transverse Vibrations:
Transverse vibrations occur when a body oscillates perpendicular to its longitudinal axis. These vibrations result in the displacement of particles in a transverse direction, forming waves that propagate through the body. Examples of transverse vibrations include vibrations in strings, beams, and plates.

Stress in a Body:
Stress is a measure of the internal resistance of a body to deformation. It is defined as the force per unit area acting on a material. When a body is subjected to external forces or vibrations, it experiences stress.

Types of Stress:
There are three main types of stress:

1. Tensile Stress: Tensile stress occurs when a body is subjected to forces that tend to elongate or stretch it. It acts perpendicular to the cross-sectional area of the body and causes the body to experience tension.

2. Compressive Stress: Compressive stress occurs when a body is subjected to forces that tend to compress or shorten it. It acts perpendicular to the cross-sectional area of the body and causes the body to experience compression.

3. Shear Stress: Shear stress occurs when a body is subjected to forces that tend to cause one layer of the body to slide or deform relative to an adjacent layer. It acts parallel to the cross-sectional area of the body and causes the body to experience shear deformation.

Transverse Vibrations and Stress:
When a body is subjected to transverse vibrations, the particles of the body move perpendicular to the direction of the vibrations. As a result, the body experiences tensile stress.

During transverse vibrations, the particles at the extreme ends of the body move the most, resulting in elongation or stretching of the body. This creates tension, leading to the generation of tensile stress. The magnitude of the tensile stress depends on factors such as the amplitude and frequency of the vibrations, as well as the material properties of the body.

Conclusion:
In conclusion, when a body is subjected to transverse vibrations, the stress induced in the body will be tensile stress. This is because the particles of the body move perpendicular to the direction of the vibrations, resulting in elongation or stretching of the body, leading to the generation of tensile stress.