InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
A carpenter hasconstructed a toy as shownin the adjoining figure. Itthe density of the materialof the sphere is 12 timesthat of cone, the position ofthe centre of mass of thetoy is given by(A) at a distance of 2Rfrom O4Rし)(B) at a distance of 3R from O R(C) at a distance of 4R from O(D) at a distance of SR from O |
|
Answer» If the density of cone is p, then mass of cone = density x volume=p1/3π(2R)²= 16/3π(R)³pThis mass is concentrated at a height from O= h/4 =4R/h = R Mass of the sphere= m₂= density x volume= 12p x 4/3π(R)³= 16πR³p= m3 This mass is concentrated at O2, i.e. at a distance of 4R+R=5Rfrom O.Hence centre of mass of whole system will beYcm = m1y1 + m2y2/m1 + m2=mR + 3m(5R)/ m + 3m= 16mR/ 4m=4R hence, option (C) is correct. |
|