MHT CET · Physics · Rotational Motion
A bob of mass ' m ' is tied by a massless string whose other end is wound on a flywheel (disc) of radius ' \(R\) ' and mass ' \(m\) '. When released from the rest, the bob starts falling vertically downwards. If the bob has covered a vertical distance ' \(h\) ', then angular speed of wheel will be (There is no slipping between string and wheel, \(g\) - acceleration due to gravity)
- A \(\frac{2}{\mathrm{R}} \sqrt{\frac{\mathrm{gh}}{3}}\)
- B \(\frac{1}{\mathrm{R}} \sqrt{\frac{2 \mathrm{gh}}{3}}\)
- C \(R \sqrt{\frac{2 g h}{3}}\)
- D \(2 \mathrm{R} \sqrt{\frac{\mathrm{gh}}{3}}\)
Answer & Solution
Correct Answer
(A) \(\frac{2}{\mathrm{R}} \sqrt{\frac{\mathrm{gh}}{3}}\)
Step-by-step Solution
Detailed explanation
\(mgh = \frac{1}{2}mv^2 + \frac{1}{2}I\omega^2\) \(mgh = \frac{1}{2}m(R\omega)^2 + \frac{1}{2}(\frac{1}{2}mR^2)\omega^2\)
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
- According to Abbe, in the formula for resolving power of microscope, the
numerical aperture is represented byMHT CET 2020 Medium - The internal energy of an ideal diatomic gas corresponding to volume ' V ' and pressure ' P ' is 2.5 PV. The gas expands from 1 litre to 2 litre at a constant pressure of \(10^5 \mathrm{~N} / \mathrm{m}^2\). The heat supplied to a gas isMHT CET 2024 Easy
- In the following figure magnitude of the magnetic field at the point \(p\) is
MHT CET 2025 Medium - A particle starting from rest moves atong the circumference of a circle of radius ' \(r\) ' with angular acceleration ' \(\alpha\) '. The magnitude of the average velocity in time it completes the small angular displacement ' \(\theta\) ' isMHT CET 2024 Easy
- Figure shows currents in different parts of electrical circuit. The value of current ' i ' is
MHT CET 2025 Easy - An alternating e.m.f. having voltage \(V=V_0 \sin \omega t\) is applied to a series L-C-R circuit. Given : \(\left|X_L-X_C\right|=R\). The r.m.s. value of potential difference across capacitor will beMHT CET 2025 Medium
More PYQs from MHT CET
- For a given combination of logic gates, the inputs \(A, B\) and \(C\) are as follows. \(A=B=C=0\) and \(A=B=1, C=0\) then the logic states of output \(D\) are respectively
MHT CET 2022 Easy - In a triangle \(A B C\), with usual notation, \(\angle B=\pi / 3, \angle C=\pi / 4 . D\) divides \(B C\) internally in the ratio 1:3 then \(\frac{\sin \angle \mathrm{BAD}}{\sin \angle \mathrm{CAD}}\)MHT CET 2025 Medium
- The corpus luteum formed during post-ovulatory phase of menstrual cycle survives for only ________ weeks in the absence of fertilization.MHT CET 2024 Easy
- The work done during combustion of of ethane, at is (Given , atomic mass )MHT CET 2017 Hard
- Mitral valve and tricuspid valve are attached to the papillary muscles by __________ .MHT CET 2017 Hard
- The general solutions of \(\sin ^{2} x \cdot \sec x=\tan x-\sin x+1\) isMHT CET 2020 Medium