KCET · Physics · Rotational Motion
The moment of inertia of a circular disc of radius \(2 \mathrm{~m}\) and mass \(1 \mathrm{~kg}\) about an axis passing through the centre of mass but perpendicular to the plane of the disc is \(2 \mathrm{~kg} \mathrm{~m}^{2}\). Its moment of inertia about an axis parallel to this axis but passing through the edge of the disc is (see the given figure).
- A \(8 \mathrm{~kg} \mathrm{~m}^{2}\)
- B \(4 \mathrm{~kg} \mathrm{~m}^{2}\)
- C \(10 \mathrm{~kg} \mathrm{~m}^{2}\)
- D \(6 \mathrm{~kg} \mathrm{~m}^{2}\)
Answer & Solution
Correct Answer
(D) \(6 \mathrm{~kg} \mathrm{~m}^{2}\)
Step-by-step Solution
Detailed explanation
According to parallel axis theorem
\(\begin{aligned}\mathrm{I}_{X^{\prime} Y^{\prime}} &=I_{X Y}+M^{2} \\&=2+(1)(2)^{2} \\&=6 \mathrm{~kg}-\mathrm{m}^{2}\end{aligned}\)
\(\begin{aligned}\mathrm{I}_{X^{\prime} Y^{\prime}} &=I_{X Y}+M^{2} \\&=2+(1)(2)^{2} \\&=6 \mathrm{~kg}-\mathrm{m}^{2}\end{aligned}\)
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 ray of light enters from a rarer to a denser medium. The angle of incidence is Then the reflected and refracted rays are mutually perpendicular to each other. The critical angle for the pair of media isKCET 2008 Medium
- 'Hydraulic lift' works on the basis ofKCET 2017 Easy
- A car is moving in a circular horizontal track of radius \(10 \mathrm{~m}\) with a constant speed of \(10 \mathrm{~ms}^{-1}\). A bob is suspended from the roof of the car by a light wire of length \(1.0 \mathrm{~m}\). The angle made by the wire with the vertical is (in rad)KCET 2022 Medium
- A \( 10 \mathrm{~kg} \) metal block is attached to a spring of spring constant \( 1000 \mathrm{~N} \mathrm{~m}^{-1} \), A block is
displaced from equilibrium position by \( 10 \mathrm{~cm} \) and released. The maximum acceleration of the
block isKCET 2014 Easy - Dimensional formula for activity of radioactive substance isKCET 2024 Easy
- Which one of the following nuclei has shorter mean life?
KCET 2019 Easy
More PYQs from KCET
- \(\text{C}-\text{Cl}\) bond in methyl chloride compared to \(\text{C}-\text{Cl}\) bond in chlorobenzene isKCET 2026 Medium
- The value of the integral \(\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \log (\sec \theta-\tan \theta) \mathrm{d} \theta\) isKCET 2014 Easy
- A non-volatile solute, 'A' tetramerises in water to the extent of 80\%. \( 2.5 \mathrm{~g} \) of 'A' in \( 100 \mathrm{~g} \) of
water, lowers the freezing point by \( 0.3^{\circ} \mathrm{C} \). the molar mass of \( \mathrm{A} \) in \( \mathrm{g} \mathrm{mol}^{-1} \) is (Kf for water \( = \)
\( 1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1} \) )KCET 2019 Medium - The corner points of the feasible region determined by the system of linear constraints are \((0, 10), (5, 5), (15, 15), (0, 20)\). Let \(z = px + qy\) where \(p, q > 0\). The relation between \(p\) and \(q\), so that the maximum \(z\) occurs at both points \((15, 15)\) and \((0, 20)\) isKCET 2026 Medium
- Empirical formula of a compound is \(\mathrm{CH}_{2} \mathrm{O}\) and its molecular mass is 90 , the molecular formula of the compound isKCET 2013 Hard
- Three polaroid sheets are co-axially placed as indicated in the diagram. Pass axes of the polaroids 2 and 3 make \(30^{\circ}\) and \(90^{\circ}\) with pass axis of polaroid sheet 1 . If \(I_0\) is the intensity of the incident unpolarised light entering sheet 1 , the intensity of the emergent light through sheet 3 is
KCET 2024 Medium