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JEE Main & Advanced Physics Rotational Motion Question Bank Self Evaluation Test - System of Particles Rotational Motion

  • question_answer
    Three masses are placed on the x-axis: 300 g at origin, 500g at \[x=40\text{ }cm\]and 400g at\[x=70cm\]. The distance of the centre of mass from the origin is

    A) 40cm

    B) 45cm

    C) 50cm

    D) 30cm

    Correct Answer: A

    Solution :

    [a] \[{{X}_{cm}}=\frac{{{m}_{1}}{{x}_{1}}+{{m}_{2}}{{x}_{2}}+{{m}_{3}}{{x}_{3}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}\] \[{{X}_{cm}}=\frac{300\times (0)+500(40)+400\times 70}{300+500+400}\] \[{{X}_{cm}}=\frac{500\times 40+400\times 70}{1200}=40cm\]


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