AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
A circular plate \(A\) of radius \(1.5 \mathrm{r}\) is removed from one edge of a uniform circular plate \(B\) of radius \(2 r\). The distance of centre of mass of the remaining portion from the centre of the plate \(B\) is
- A \(\frac{5 \mathrm{r}}{12}\)
- B \(\frac{9 \mathrm{r}}{14}\)
- C \(\frac{3 r}{4}\)
- D \(\frac{7 r}{8}\)
Answer & Solution
Correct Answer
(B) \(\frac{9 \mathrm{r}}{14}\)
Step-by-step Solution
Detailed explanation
Radius of removed circular plate, \(\mathrm{A}=1.5 \mathrm{r}\) Radius of circular plate, \(\mathrm{B}=2 \mathrm{r}\) Let mass of circular plate \(A, M_1=M\) So surface mass density, \(\sigma=\frac{M}{\pi(2 r)^2}=\frac{M}{4 \pi r^2}\) Then mass of removed circular plate, A…
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
- Diameter of the objective lens of a telescope is \(250 \mathrm{~cm}\). For light of wavelength \(600 \mathrm{~nm}\), coming from a distant object, the limit of resolution of the telescope is close toAP EAMCET 2023 Easy
- A particle of mass \(0.4 \mathrm{~kg}\) executes simple harmonic motion of amplitude \(0.4 \mathrm{~m}\). When it passes through the mean position, its kinetic energy is \(256 \times 10^{-3} \mathrm{~J}\). If the initial phase of the oscillation is \(\pi / 4\), then the equation of its motion isAP EAMCET 2021 Medium
- Two wires of equal diameters, lengths and having resistivities respectively are joined in series. The equivalent resistivity of the combination is ____AP EAMCET 2020 Medium
- The radius of the nucleus of an atom whose mass number is 125 isAP EAMCET 2023 Easy
- Two short magnets of equal dipole moments \(M\) are fastened perpendicularly at their centres. The magnitude of the magnetic field at a distance \(d\) from the centre on the bisector of the right angle is ( \(\mu_0=\) Permeability of free space)AP EAMCET 2022 Hard
- Let \(\mathrm{V}_1\) be the potential at the center of the square of side \(1 \mathrm{~m}\) when the charges at the 4 corners are \(2 \mathrm{C}\) each. If the same charges are placed at the corners of a square of side \(2 \mathrm{~m}\), then the potential at the centre of this square is \(\mathrm{V}_2\). The value of \(\frac{V_2}{V_1}\) isAP EAMCET 2022 Medium
More PYQs from AP EAMCET
- If \(z \in C\) and \(i z^3+4 z^2-z+4 i=0\), then a complex root of this equation having minimum magnitude isAP EAMCET 2018 Hard
- Four numbers are chosen at random from \(\{1,2,3, \ldots, 40\}\). The probability that they are not consecutive, isAP EAMCET 2007 Medium
- The plane passing through \((2,1,-3)\) and perpendicular to \(3 \hat{\mathbf{i}}-\hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) contains the pointsAP EAMCET 2021 Medium
- A diatomic gas \((\gamma=1.4)\) does \(300 \mathrm{~J}\) work w expanded isobarically. The heat given to the ga process isAP EAMCET 2016 Easy
- Acidification of chromate gives ' \(Z\) '. The oxidation state of chromium in ' \(Z\) ' isAP EAMCET 2024 Easy
- Three squares of a chessboard are selected at random. The probability of selecting two squares of one colour and the other of a different colour is equal toAP EAMCET 2020 Easy