Question 157: Centre of Mass and Rotational Motion

Question

Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle of sides 4.0 cm, 3.0 cm and 5.0 cm as shown in the figure. The center of mass of the system is at a point:

Accepted Answer

Let 1 kg as origin and x-y axis as shown
x
cm
= $${{1\left( 0 \right) + 1.5\left( 3 \right) + 2.5\left( 0 \right)} \over 5}$$ = 0.9 cm
y
cm
= $${{1\left( 0 \right) + 1.5\left( 0 \right) + 2.5\left( 4 \right)} \over 5}$$ = 2 cm

Answer

2.0 cm right and 0.9 cm above 1 kg mass

Answer

0.9 cm right and 2.0 cm above 1 kg mass

Answer

0.6 cm right and 2.0 cm above 1 kg mass

Answer

1.5 cm right and 1.2 cm above 1 kg mass

Centre of Mass and Rotational Motion

Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle of sides 4.0 cm, 3.0 cm and 5.0 cm as shown in the figure. The center of mass of the system is at a point:

Choose the correct answer: