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CBSE Class 11-science Answered

A horizontal rod is supported at both the end sand loaded at the middle. if L is length and Y is young modulus then depression is directly proportional to
Asked by harshitajain5757 | 05 Dec, 2023, 12:45: AM
answered-by-expert Expert Answer
The depression in the beam is given by the below formula, 
 
δ = WL3 / 4Ybd3 
 
Here, W is weight, L is length of the rod, Y is the Young's modulus of elasticity, b is breadth of the rod while d is the depth. 
 
From the formula we can say that
depression δ is directly proportional to W, L3 and inversely proportional to Y, b, d3 
 
Or we can say that depression is direcly proportional to inverse of Young's modulus i.e., 
 
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