SATHEE: Properties of Matter 1 Question 17

Properties of Matter 1 Question 17

17. A uniform rod of length $L$ and density $ρ$ is being pulled along a smooth floor with a horizontal acceleration $α$ (see figure). The magnitude of the stress at the transverse cross-section through the mid-point of the rod is ………. .

(1993, 1M)

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Answer:

Correct Answer: 17. $\frac{ρ L α}{2}$

Solution:

Let $A$ be the area of cross-section of the rod. FBD of rod at mid-point

Mass $m =$ volume $\times$ density

$= (\frac{L}{2} \cdot A) ρ$

$∴ T = m α = (\frac{L}{2} A ρ α)$

$∴$ Stress $= \frac{T}{A} = \frac{1}{2} ρ α L$

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Properties of Matter 1 Question 17

17. A uniform rod of length L and density ρ is being pulled along a smooth floor with a horizontal acceleration α (see figure). The magnitude of the stress at the transverse cross-section through the mid-point of the rod is ………. .

Answer:

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17. A uniform rod of length $L$ and density $ρ$ is being pulled along a smooth floor with a horizontal acceleration $α$ (see figure). The magnitude of the stress at the transverse cross-section through the mid-point of the rod is ………. .