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Four identical spheres each of radius 10 cm and mass 1 kg are placed on a horizontal surface touching one another so that their centres are located at the corners of square of side 20cm. find distance of their centre of mass from centre of each sphere
Four identical spheres each of radius 10 cm and mass1 kg are placed on a horizontal surface touching oneanother so that their centres are located at the corners of square of side 20cm. find distance of their centre of mass from centre of each sphere


3 years ago

Shailendra Kumar Sharma
188 Points
							Given four identical mass placed at the corner of a square, so one can directly say the center of mass will be at the center of the square. Alternatively, Assume one of them at (0,0) the rest of them will be at (a, 0)  ($\sqrt{2}$a,$\sqrt{2}$ a ),and (0,a)  where a is the side =10cmSo X=(m1x1+m2x2+m3x3+m4x4)/4m =(0+a*10+$\sqrt{2}$ a *10 + 0) /4*10 =(1+$\sqrt{2}$)/4similiary Y= 1+$\sqrt{2}$)/4

3 years ago
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### Course Features

• 110 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions