Three particles of masses 1 kg, 2 kg and 3 kg are subjected to forces

1.	Three particles of masses 1 kg, 2 kg and 3 kg are subjected to forces (3i-2j+2k) N,(-i+2j-k Ni+ j+KN respectively. Find the magnitude of the acceleration of the CM of the systemее
Answer» a(cm) = ( m1a1 + m2a2 + m3a3)/(m1 + m2 + m3)= {(3i-2j+2k)+(-2i+4j-2k)+(3i+3j+3k)}/6 a(cm) = 2/3 i + 5/6 j + 1/2 k \|a(cm)\| = ((16+25+9)/36)^1/2 = 1.178 m/s2

Three particles of masses 1 kg, 2 kg and 3 kg are subjected to forces (3i-2j+2k) N,(-i+2j-k Ni+ j+KN respectively. Find the magnitude of the acceleration of the CM of the systemее

Answer»

a(cm) = ( m1a1 + m2a2 + m3a3)/(m1 + m2 + m3)= {(3i-2j+2k)+(-2i+4j-2k)+(3i+3j+3k)}/6

a(cm) = 2/3 i + 5/6 j + 1/2 k

|a(cm)| = ((16+25+9)/36)^1/2

= 1.178 m/s2