TS EAMCET · Physics · Rotational Motion
A wheel of radius \(0.4 \mathrm{~m}\) can rotate freely about its axis as shown in the figure. A string is wrapped over its rim and a mass of \(4 \mathrm{~kg}\) is hung. An angular acceleration of 8 rad- \(\mathrm{s}^{-2}\) is produced in it due to the torque. Then, moment of inertia of the wheel is \(\left(g=10 \mathrm{~ms}^{-2}\right)\)
- A \(2 \mathrm{~kg}-\mathrm{m}^2\)
- B \(1 \mathrm{~kg}-\mathrm{m}^2\)
- C \(4 \mathrm{~kg}-\mathrm{m}^2\)
- D \(8 \mathrm{~kg}-\mathrm{m}^2\)
Answer & Solution
Correct Answer
(B) \(1 \mathrm{~kg}-\mathrm{m}^2\)
Step-by-step Solution
Detailed explanation
Given, \(r=0.4 \mathrm{~m}\), \(\begin{aligned} \alpha & =8 \mathrm{rad} \mathrm{s}^{-1}, \\ m & =4 \mathrm{~kg}, \quad I=? \\ \text { Torque, } \quad \tau & =I \alpha \\ m g r & =I \cdot \alpha\end{aligned}\)…
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 ball of mass is dropped at time A second ball of mass is dropped from the same point at . The distance between the center of mass of two balls and the release point at is: (Assume )TS EAMCET 2020 Easy
- Choose the incorrect statement.TS EAMCET 2020 Medium
- Match the "Technology" given in List-1 with the "Principle of Physics" given in List-2.
List - 1 (Technology) List - 2 (Principle of Physics) A Steam engine I Magnetic confinement of plasma B Electron microscope II Laws of thermodynamics C Non-reflecting coatings III wave nature of electrons D Tokamak IV Interference of light TS EAMCET 2025 Medium - An \(\alpha\)-particle of energy ' \(E\) ' is liberated during the decay of a nucleus of mass number 236. The total energy released in this process isTS EAMCET 2024 Medium
- Two electric charges \(+2 \mu \mathrm{C}\) and \(-4 \mu \mathrm{C}\) are separated by a distance \(3 \mathrm{~m}\) in air. At a point \(\mathrm{P}\) located on the line joining the two charges and in between them, the electric potential is zero. Then the electric field at a point \(\mathrm{P}\left(\right.\) in \(\left.\mathrm{NC}^{-1}\right)\) isTS EAMCET 2023 Medium
- A parallel plate capacitor of capacity \(100 \mu \mathrm{F}\) is charged by a battery of 50 volts. The battery remains connected and if the plates of the capacitor are separated so that the distance between them becomes double the original distance, the additional energy given by the battery to the capacitor in joules isTS EAMCET 2002 Hard
More PYQs from TS EAMCET
- A steam at \(100^{\circ} \mathrm{C}\) is passed into \(1 \mathrm{~kg}\) of water contained in a calorimeter of water equivalent \(0.2 \mathrm{~kg}\) at \(9^{\circ} \mathrm{C}\) till the temperature of the calorimeter and water in it is increased to \(90^{\circ} \mathrm{C}\). The mass of steam condensed in \(\mathrm{kg}\) is nearly (specific heat of water \(=1 \mathrm{cal} / \mathrm{g}{ }^{\circ} \mathrm{C}\), latent heat of vaporisation \(=540 \mathrm{cal} / \mathrm{g}\) )TS EAMCET 2014 Medium
- A current of is flowing at in the primary coil of a transformer. If the voltage produced in the secondary coil is and of power is lost, then the current in the secondary coil will be:TS EAMCET 2020 Medium
- Two objects of masses \(200 \mathrm{~g}\) and \(500 \mathrm{~g}\) possess velocities \(10 \hat{\mathbf{i}} \mathrm{m} / \mathrm{s}\) and \(3 \hat{\mathbf{i}}+5 \hat{\mathbf{j}} \mathrm{m} / \mathrm{s}\) respectively. The velocity of their centre of mass in \(\mathrm{m} / \mathrm{s}\) is :TS EAMCET 2003 Easy
- In a photo electric experiment, the wavelength of the light incident on the metal is changed from \(200 \mathrm{~nm}\) to \(400 \mathrm{~nm}\). The decrease in the stopping potential is close to [Use \(\mathrm{hc}=1240 \mathrm{eV}-\mathrm{nm}\) where \(\mathrm{h}=\) Planck's constant and \(\mathrm{c}\) is velocity of light]TS EAMCET 2022 Medium
- In the Bohr model an electron of mass \(m\) moves in a circular orbit around the proton. Considering the orbiting electron to be a circular current loop, the magnetic moment of the hydrogen atom, when the electron is in \(n\)th excited state. (Assume, \(h=\) Planck's constant)TS EAMCET 2020 Easy
- Two identical piano wires have a fundamental frequency of 600 cycle per second when kept under the same tension. What fractional increase in the tension of one wires will lead to the occurrence of 6 beats per second when both wires vibrate simultaneously?TS EAMCET 2009 Medium