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Two bocks of masses 10 g and 20 kg are plced on the X-axis. The first mass is moved on the axis by a distance of 2 cm. By what distance should the second mass be moved to keep the position of the centre of mass unchanged? |
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Answer» Two masses `m_1 and m_2` are placed on the X-axis. `m_1=10kg, m_2=20kg` `the first mass is displaced by distance of 2 cm. `:. X_(cm)=(m_1x_1+m_2x_2)/(m_1+m_2)` `=(10xx2+20x_2)/30` `rarr 0=(20+20x_2)/30` `rarr 20+20x_2=0` `rarr 20=-20x_2` `rarr x_2=-1` `:. ` Second mass should be displaced by a distance 1 cm towards left so as to keep the position of centre of mass unchanged. |
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