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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Mechanical Properties of Solids

NTA Abhyas 2020 · Physics · Mechanical Properties of Solids

A steel rod is projecting out of a rigid wall. The shearing...

A steel rod is projecting out of a rigid wall. The shearing strength of steel is 345MNm−2345MNm^{- 2}. The dimensions AB=5cm,BC=BE=2cmAB = 5cm, BC = BE = 2cm. The maximum load that can be put on the face ABCDABCD is : (neglect bending of the rod) (g = 10ms^{- 2})<br/><br/><imgalt=""src="/api/proxy−image?url=https)<br /> <br /> <img alt="" src="/api/proxy-image?url=https%3A%2F%2Ffirebasestorage.googleapis.com%2Fv0%2Fb%2Fquantrexacademy-app.firebasestorage.app%2Fo%2Fquestions%252Ffigs%252Fnta_abhyas%252Fjee_main%252Fimages%252F67014_que.JPG%3Falt%3Dmedia \text{ and } clean=1 \text{ and } v=wm2" data-qx-orig-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fnta_abhyas%2Fjee_main%2Fimages%2F67014_que.JPG?alt=media" data-qx-storage-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fnta_abhyas%2Fjee_main%2Fimages%2F67014_que.JPG?alt=media" style="width: 150px; height: 256px;" />

Options

  1. A34503450 kg
  2. B13801380 kg
  3. C1380013800 kg
  4. D345345 kg

Correct answer

C. 1380013800 kg

Step-by-step solution

F = shear strength x area on which shear stress acts

=345×106×4×10−4= 3 4 5 \times 1 {0}^{6} \times 4 \times 1 {0}^{- 4}

=138000N= 1 3 8 0 0 0 N
So the mass that can be placed =13800kg= 13800kg
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