AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
The centre of mass of a homogenous semi-circular plate of radius \(\mathrm{r}\) is located at \(\mathrm{A}\) as shown in the figure. The distance OA is
- A \(\frac{2r}{3 \pi}\)
- B \(\frac{4 r}{3 \pi}\)
- C \(\frac{3r}{2 \pi}\)
- D \(\frac{r}{\pi}\)
Answer & Solution
Correct Answer
(B) \(\frac{4 r}{3 \pi}\)
Step-by-step Solution
Detailed explanation
The COM of a homogeneous semi-circular plate is located at \(\frac{4 \mathrm{r}}{3 \pi}\) distance from ' \(\mathrm{O}\) '. So, \(O A=\frac{4 r}{3 \pi}\)
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
- In an LCR series circuit, if the potential differences across inductor, capacitor and resistor are \(60 \mathrm{~V}, 30 \mathrm{~V}\) and 40 V respectively, then the ac voltage applied to the circuit isAP EAMCET 2025 Medium
- An infinitely long straight conductor is bent into shape as shown in figure. It carries a current \(I \mathrm{~A}\) and the radius of circular loop is \(r \mathrm{~m}\). The magnetic induction at the centre of the circular loop is
AP EAMCET 2020 Medium - The electric field in \(\mathrm{NC}^{-1}\) of an electromagnetic wave is \(\mathrm{E}=36 \sqrt{\pi} \operatorname{Sin}(\omega \mathrm{t}-\mathrm{kx})\). The average energy density of the electromagnetic wave due to the electric field is \(\left(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}\right)\)AP EAMCET 2023 Easy
- Three parallel plate capacitors of capacitances \(4 \mu \mathrm{~F}\), \(6 \mu \mathrm{~F}\) and \(12 \mu \mathrm{~F}\) are first connected in series and then in parallel. The ratio of the effective capacitances in the two cases isAP EAMCET 2024 Easy
- A force of \(5 \mathrm{~N}\) acts on a body initially at rest. If the instantaneous power due to the force at the end of the third second \((t=3 \mathrm{~s})\) is \(5 \mathrm{~W}\), then the mass of the body isAP EAMCET 2022 Easy
- A hydrogen like atom has one electron revolving round a stationary nucleus. If the energy required to excite the electron from the 2 nd orbital to 3 rd orbit is \(47.2 \mathrm{eV}\), find the atomic number of the given atom.AP EAMCET 2020 Hard
More PYQs from AP EAMCET
- The terminal velocity of a liquid drop of radius ' \(r\) ' falling through air is \(v\). If two such drops are combined to form a bigger drop, the terminal velocity with which the bigger drop falls through air is (ignore any buoyant force due to air)AP EAMCET 2013 Medium
- A circular disc of radius \(R\) is removed from a bigger circular disc of radius \(2 R\) such that the circumferences of the discs touch. The centre of mass of the new disc is at a distance \(\alpha R\) from the centre of the bigger disc. The value of \(\alpha\) isAP EAMCET 2011 Hard
- For a gas the value of so the gas is
(R-Universal gas constant)AP EAMCET 2019 Easy - If the pair of lines joining the origin and the points of intersection of the line and the curve are at right angles, then the locus of the point is a circle of radiusAP EAMCET 2019 Medium
- If \(l_1\) and \(l_2\) are the lengths of the perpendiculars drawn from a point on the hyperbola \(5 x^2-4 y^2-20=0\) to its asymptotes, then \(\frac{l_1^2 l_2^2}{100}=\)AP EAMCET 2024 Easy
- If \(\bar{a}, \bar{b}\) are two non-parallel unit vectors and the vector \(\alpha \bar{a}+\bar{b}\) bisects the internal angle between \(\bar{a}\) and \(\bar{b}\), then \(\alpha\) is equal toAP EAMCET 2017 Medium