Physics - Center of Mass Question with Solution | TestHub

PhysicsCenter of MassCalculate of COMEasy2 minQB

PhysicsEasyinteger

Find the magnitude of $x$ coordinate of centre of mass of the system.

Answer:

Solution:

From the image, we can identify the masses and their x-coordinates. Let's assume the origin is at point O.

Mass 1: $m_{1} = 2 k g$ , $x_{1} = 1 m$

Mass 2: $m_{2} = 4 k g$ , $x_{2} = 2.5 m$

Now, we can plug these values into the formula:

$x_{c m} = \frac{( 2 k g ) ( 1 m ) + ( 4 k g ) ( 2.5 m )}{2 k g + 4 k g}$

$x_{c m} = \frac{2 + 10}{6}$

$x_{c m} = \frac{12}{6} = 2$

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

⏱ 2mℹ️ Source: QB

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