Question

two balls of masses 3M and M are separated by a distance 1. find the position of CM from 3m mass ? a) l/4. b) l/2. c) 3l/4. d) none​

Answer 1

$\huge\fcolorbox{red}{pink}{Answer \: :}$

➡ Given:

✏ Two balls of masses 3M and M are separated by a distance l

➡ To Find:

✏ Position of CM ?

➡ Formula:

✏ Formula of CM for two masses is given by

$\: \: \: \: \dag \: \underline{ \boxed{ \bold{ \rm{ \pink{d_{CM} = \frac{m_1x_1 + m_2x_2}{m_1 + m_2}}}}}} \: \dag$

➡ Terms used:

✏ m denotes mass of object.

✏ x denotes distance of object from origin.

➡ Calculation:

✏ Let consider origin of axis at 3M mass therefore x1 = 0

$\implies \rm \: d_{CM} = \frac{3M(0) +M(l) }{3M + M} \\ \\ \implies \rm \: d_{CM} = \frac{\cancel{M} \times l}{4 \times \cancel{M}} \\ \\ \therefore \: \underline{ \boxed{ \bold{ \rm{ \orange{d_{CM} = \frac{l}{4 }\: from \: \red{3M \: mass}}}}}} \: \purple{ \clubsuit}$