TS EAMCET · Physics · Mechanical Properties of Solids
A uniform rod of length \(L\) is rotated in a horizontal plane about a vertical axis through one of its ends. The angular speed of rotation is \(\omega\). Find increase in length of the rod, if \(\rho\) and \(Y\) are the density and Young's modulus of the rod respectively,
- A \(\frac{\rho \omega^3 Y}{4 L^2}\)
- B \(\frac{4 \rho \omega^2 L^3}{3 Y}\)
- C \(\frac{\rho \omega^3 L^3}{3 Y}\)
- D \(\frac{\rho \omega^3 L^3}{8 Y}\)
Answer & Solution
Correct Answer
(C) \(\frac{\rho \omega^3 L^3}{3 Y}\)
Step-by-step Solution
Detailed explanation
Given, length of uniform \(\operatorname{rod}=L\) angular speed \(=\omega\) and density of rod \(=\rho\) When rod is rotated in a horizontal plane, centrifugal force is responsible for increasing the length of rod, which is also equal to stress. If \(d l\) be the change in…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A point mass oscillates along the \(X\)-axis according to the law \(x=x_0 \cos \left(\omega t-\frac{\pi}{4}\right)\). If the acceleration of the particle is written as \(a=A \cos (\omega t-\delta)\), thenTS EAMCET 2020 Easy
- A uniform disc of mass \(100 \mathrm{~kg}\) and radius \(2 \mathrm{~m}\) is rotating at \(1 \mathrm{rad} / \mathrm{s}\) about a perpendicular axis passing through its centre. A boy of mass \(60 \mathrm{~kg}\) standing at the centre of the disk suddenly jumps to a point which is \(1 \mathrm{~m}\) from the centre of the disc. The final angular velocity of the boy (in \(\mathrm{rad} / \mathrm{s}\) ) isTS EAMCET 2018 Easy
- In the meter bridge experiment, the length \(A B\) of the wire is \(1 \mathrm{~m}\). The resistors \(X\) and \(Y\) have values \(5 \Omega\) and \(2 \Omega\) respectively. When a shunt resistance \(S\) is connected to \(X\), the balancing point is found to be \(0.625 \mathrm{~m}\) from \(A\). Then, the resistance of the shunt is
TS EAMCET 2013 Medium - What is the binding energy of whose atomic mass is Mass of proton Mass of neutron (Neglect the electron mass) (Assume )TS EAMCET 2020 Easy
- The ratio of the magnetic field inside a solenoid at an axial point well inside and at an axial end point isTS EAMCET 2020 Medium
- On a temperature scale \(Y\), water freezes at \(-160^{\circ} Y\) and boils at \(-50^{\circ} Y\). On this \(Y\) scale, a temperature of \(340 \mathrm{~K}\) isTS EAMCET 2013 Easy
More PYQs from TS EAMCET
- If the image of an object is at the focal point \(f\) to the right side of a convex lens, the position of the object on the left of the lens is atTS EAMCET 2020 Easy
- Imagine a person standing on a weighing machine placed inside an elevator. The elevator first accelerates, then moves with a constant velocity and finally decelerates to stop. The maximum and minimum weight recorded are \(80 \mathrm{~kg}\) and \(64 \mathrm{~kg}\), respectively. Find out the true weight of that person considering \(\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)\).TS EAMCET 2021 Easy
- The period of oscillation of a bar magnet at a place is 2 s. At the same place, the period of oscillation of another identical bar magnet whose magnetic moment is 4 times to that of first magnet isTS EAMCET 2023 Medium
- Car \(A\) is moving to the East with a speed of \(30 \mathrm{~km} / \mathrm{hr}\), and car \(B\) is moving to the North with the same speed. What is the velocity of car \(B\) as measured in Car \(A\) ?TS EAMCET 2021 Easy
- Two beams of monochromatic light with intensities and interfere constructively to produce an intensity of . If one of the beams is shifted by an angle the intensity is reduced to . The magnitude of isTS EAMCET 2020 Medium
- Which of the following logic gates is a universal gate?TS EAMCET 2025 Easy