Physics · System Of Particles

JEE Main 2024 — 8 April, Shift 1 — Question 49

A uniform thin metal plate of mass 10 kg with dimensions is shown. The ratio of x and y coordinates of center of mass of plate in $\frac{n}{9}$ .The value of $n$ is $\qquad$ .

Answer: 15

Numerical answer — enter this value.

Step-by-step solution

$\mathrm{m}_{1}=\sigma \times 5=10 \mathrm{Kg}$

$\Rightarrow m_{1} \mathrm{x}_{1}+\mathrm{m}_{2} \mathrm{x}_{2}$

$=\mathrm{m}_{3} \mathrm{x}_{3} 10 \mathrm{x}_{1}+2(1.5)$

$=12(1.5) \Rightarrow \mathrm{x}_{1}=1.5 \mathrm{~cm} \Rightarrow \mathrm{~m}_{1} \mathrm{y}_{1}+\mathrm{m}_{2} \mathrm{y}_{2}$

$=\mathrm{m}_{3} \mathrm{y}_{3} 10 \mathrm{y}_{1}+2(1.5)$

$=12 \times 1 \Rightarrow \mathrm{y}_{1}=0.9 \mathrm{~cm}$

$\frac{\mathrm{x}_{1}}{\mathrm{y}_{1}}=\frac{1.5}{0.9}=\frac{15}{9}$

$\mathrm{n}=15$

Answer key and solution verified before publishing.

Practise System Of Particles

Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.

Solve a similar one free

Exam: JEE Main 2024
Paper: 8 April, Shift 1
Subject: Physics
Chapter: System Of Particles
Topic: Position of Center of Mass

A stationary particle breaks into two parts of masses m A and m B which move with velocities v A and v B respectively. The ratio of their…

Answer: 15

Step-by-step solution

Practise System Of Particles

More System Of Particles questions from this paper