Question:
When a block of mass $M$ is suspended by a long wire of length $L$. the length of the wire becomes $(L+ l)$. The elastic potential energy stored in the extended wire is:
When a block of mass $M$ is suspended by a long wire of length $L$. the length of the wire becomes $(L+ l)$. The elastic potential energy stored in the extended wire is:
Updated On: May 17, 2024
- $\frac{1}{2}Mgl$
- $\frac{1}{2}MgL$
- $mgl$
- $MgL$
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The Correct Option is A
Solution and Explanation
$U = \frac{1}{2} $ (work done by gravity)
$U = \frac{1}{2} Mgl$
$U = \frac{1}{2} Mgl$
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Concepts Used:
Mechanical Properties of Solids
Mechanical properties of solids intricate the characteristics such as the resistance to deformation and their strength. Strength is the ability of an object to resist the applied stress, to what extent can it bear the stress.
Therefore, some of the mechanical properties of solids involve:
- Elasticity: When an object is stretched, it changes its shape and when we leave, it retrieves its shape. Or we can say it is the property of retrieving the original shape once the external force is removed. For example Spring
- Plasticity: When an object changes its shape and never attains its original shape even when an external force is removed. It is the permanent deformation property. For example Plastic materials.
- Ductility: When an object is been pulled in thin sheets, wires or plates, it will be assumed that it has ductile properties. It is the property of drawing into thin wires/sheets/plates. For example Gold or Silver
- Strength: The ability to hold out applied stress without failure. Many types of objects have higher strength than others.