When the shaft is bent alternately and tensile and compressive stresses due to bending result, the vibrations are said to be _______.
transverse vibrations
Understanding Shaft Vibrations from Alternate Bending
When a shaft experiences forces that cause it to bend back and forth repeatedly, this motion is a type of vibration. Vibrations in mechanical components like shafts can be classified into different types based on the direction of motion relative to the shaft's axis.
- Longitudinal Vibrations: These occur when the particles of the shaft move back and forth parallel to the axis of the shaft. This is like a pushing and pulling action along the length.
- Torsional Vibrations: These happen when the shaft twists back and forth about its axis. The motion is rotational around the longitudinal axis.
- Transverse Vibrations: These occur when the particles of the shaft move back and forth perpendicular to the axis of the shaft. This is typically seen as a bending or whipping motion.
The question describes a scenario where the shaft is "bent alternately". This means the shaft is deflecting sideways, perpendicular to its normal straight axis, and this bending is happening repeatedly in opposite directions. Bending inherently causes tensile stresses on one side of the neutral axis and compressive stresses on the other side.
Since the motion described involves the shaft moving perpendicular to its length due to bending, this directly corresponds to the definition of transverse vibrations. The tensile and compressive stresses are a result of this bending deformation.
Therefore, when a shaft is bent alternately, leading to bending stresses, the resulting vibrations are known as transverse vibrations.
Important Questions from Miscellaneous
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A railway wagon (open at the top) of mass M1 is moving with speed v1 along a straight track. As a result of rain, after some time it gets partially filled with water so that the mass of the wagon becomes M2 and speed becomes v2. Taking the rain to be falling vertically and the water stationery inside the wagon, the relation between the two speeds v1 and v2 is :
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1. Distance between the longitudes becomes zero on North Pole and South Pole.
2. Distance between the longitudes is maximum on the Equator.
3. Number of longitudes is more than number of latitudes.
Which of the statements given above is/are correct?
One block of 2⋅0 kg mass is placed on top of another block of 3⋅0 kg mass. The coefficient of static friction between the two blocks is 0⋅2. The bottom block is pulled with a horizontal force F such that both the blocks move together without slipping. Taking acceleration due to gravity as 10 m/s2, the maximum value of the frictional force is :
