Physics - Center of Mass Question with Solution | TestHub

PhysicsCenter of MassCalculate of COMHard2 minPYQ_2024

PhysicsHardinteger

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 ________

Answer:

Solution:

$m_{1} = σ \times 5 = 10 Kg$

$\Rightarrow m_{1} x_{1} + m_{2} x_{2} = m_{3} x_{3} 10 x_{1} + 2 (1.5) = 12 (1.5) \Rightarrow x_{1} = 1.5 cm \Rightarrow m_{1} y_{1} + m_{2} y_{2} = m_{3} y_{3} 10 y_{1} + 2 (1.5) = 12 \times 1 \Rightarrow y_{1} = 0.9 cm \frac{x _{1}}{y _{1}} = \frac{1.5}{0.9} = \frac{15}{9} n = 15$

Stream:JEESubject:PhysicsTopic:Center of MassSubtopic:Calculate of COM

⏱ 2mℹ️ Source: PYQ_2024

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