Centre of mass of two-particle system and rigid body
- Two objects of mass 10 kg and 20 kg respectively are connected to the two ends of a rigid rod of length 10 m with negligible mass. The distance of the center of mass of the system from the 10 kg mass is : Answer: 3. 20/3 m Place the 10 kg mass at the origin and the 20 kg mass at 10 m. x_cm=10(0)+20(10)/10+20=200/30=20/3\ m The centre of mass l... 1
- Two particles of mass 5 kg and 10 kg respectively are attached to the two ends of a rigid rod of length 1 m with negligible mass.The centre of mass of the system from the 5 kg particle is nearly at a distance of : Answer: 3. 67 cm Take the 5 kg mass as the origin. Centre of mass: x_cm=5(0)+10(100)/5+10=1000/15≈67\ cm It lies closer to the heavier mass,... 1
- Which of the following statements are correct ?(a) Centre of mass of a body always coincides with the centre of gravity of the body.(b) Centre of mass of a body is the point at which the total gravitational torque on the body is zero.(c) A couple on… Answer: 4. (b) and (d) Key idea: check each statement. (a) False: centre of mass and centre of gravity coincide only in a uniform gravitatio... 1