WBJEE · Physics · Center of Mass Momentum and Collision
The position of the centre of mass of the uniform plate as shown in the figure is
- A \(\left(-\frac{a}{2},-\frac{b}{2}\right)\)
- B \(\left(\frac{a}{8}, \frac{b}{8}\right)\)
- C \(\left(-\frac{b}{6},-\frac{a}{6}\right)\)
- D \(\left(-\frac{a}{6},-\frac{b}{6}\right)\)
Answer & Solution
Correct Answer
(D) \(\left(-\frac{a}{6},-\frac{b}{6}\right)\)
Step-by-step Solution
Detailed explanation
Hint: Required \(\vec{r}=-\frac{m_1}{m_2}\left(\vec{r}_{1 \mathrm{~cm}}\right)\) \(m_2=3 m_1\)
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
- Three infinite plane sheets carrying uniform charge densities \(-\sigma, 2 \sigma, 4 \sigma\) are placed parallel to \(X Z\) plane at \(Y=a, 3 a\), 4a respectively. The electric field at the point \((0,2 a, 0)\) isWBJEE 2021 Easy
- A wire of initial length \(L\) and raidus \(r\) is stretched by a length \(l\). Another wire of same material but with initial length \(2 L\) and radius \(2 r\) is stretched by a length \(2 l\). The ratio of stored elastic energy per unit volume in the first and second wire isWBJEE 2013 Easy
- Consider a region in free space bounded by the surfaces of an imaginary cube having sides of length \(a\) as shown in the figure. A charge \(+Q\) is placed at the centre \(O\) of the cube. \(P\) is such a point out side the cube that the line \(O P\) perpendicularly intersects the surface \(A B C D\) at \(R\) and also \(O R=R P=a / 2\). A charge \(+Q\) is placed at point \(P\) also. What is the total electric flux through the five faces of the cube other than \(A B C D ?\)
WBJEE 2018 Easy - Half-life of a radioactive substance is 20 minute. The time between \(20 \%\) and \(80 \%\) decay will be :WBJEE 2010 Medium
- Consider a thermodynamic process where internal energy \(U=A P^2 \mathrm{~V}(\mathrm{~A}=\) constant). If the process is performed adiabatically, thenWBJEE 2022 Medium
- Let \(\theta\) be the angle between two vectors \(\vec{A}\) and \(\vec{B}\). If \(\hat{a}_{\perp}\) is the unit vector perpendicular to \(\vec{A}\), then the direction of \(\vec{B}-B \sin \theta \hat{a}_{\perp}\) isWBJEE 2024 Easy
More PYQs from WBJEE
- Sum of \(n\) terms of the following series \(1^3+3^3+5^3+7^3+\ldots \ldots \ldots\) isWBJEE 2010 Medium
- \(\int \mathrm{e}^{\mathrm{x}}\left(\frac{2}{\mathrm{x}}-\frac{2}{\mathrm{x}^2}\right) \mathrm{dx}\) is equal toWBJEE 2010 Easy
- \(\lim _{x \rightarrow \infty}\left\{x-\sqrt[n]{\left(x-a_1\right)\left(x-a_2\right) \ldots\left(x-a_n\right)}\right\}\) where \(a_1, a_2, \ldots, a_n\) are positive rational numbers. The limitWBJEE 2023 Easy
- Let \(A\) be the point \((0,4)\) and \(B\) be a moving point on \(x\)-axis. Let \(M\) be the midpoint of \(A B\) and let the perpendicular bisector of \(A B\) meets the \(y\)-axis at \(R\). The locus of the midpoint \(P\) of \(M R\) isWBJEE 2021 Medium
- Acid catalysed hydrolysis of ethyl acetate follows a pseudo-first order kinetics with respect to ester. If the reaction is carried out with large excess of ester, the order with respect to ester will beWBJEE 2013 Easy
- If the velocity of light in vacuum is \(3 \times 10^{8} \mathrm{ms}^{-1}\), the time taken (in nanosecond) to travel through a glass plate of thickness \(10 \mathrm{cm}\) and refractive index 1.5 isWBJEE 2012 Easy