Home
Class 11
PHYSICS
Find the center of mass of the four poin...

Find the center of mass of the four point masses as shown in figure.

Text Solution

Verified by Experts

The total mass `M=12kg`,
From equation we have, `x_(cm)=(Sigmam_(i)x_(i))/(Sigmam_(i)),y_(cm)"(Sigmam_(i)y_(i))/(Sigmam_(i)`
`x_(cm)=((2kg)(3m)+(4kg)(3m)+(5kg)(-4m)+(1kg)(-3m))/(12kg)=(-5)/(12)m`
`y_(cm)=((2kg)(-1m)+(4kg)(3m)+(5kg)(4m)+(1kg)(-2m))/(12kg)=(28)/(12)m`
The position of the cm is `vecr_(cm)=-0.42hati+2.3hatjm`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise Solved Examples|15 Videos

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise Practice Exercise|20 Videos

  • GRAVITATION

    BANSAL|Exercise EXERCISE -4 Section - B|6 Videos

Similar Questions

Explore conceptually related problems

Find out the position of centre of mass of the uniform lamina as shown in figure.

Find out the position of centre of mass of the uniform lamina as shown in figure.from center of cavity

Find the position of centre of mass of the uniform lamina shown in figure.

Find the velocity of center of mass of the system shown in the figure.

Find the position of center of mass of the uniform lamina shown in figure, if small disc of radius alpha/2 is cut from disc of radius a.

Find the position of centre of mass of the uniform lamina shown in figure. If the mass density of the lamina is sigma .

Find the centre of mass of the disc shown in figure. . A square is removed from the disc as shown

Find the position of centre of mass of the section shown in figure

Find the co-ordinates of centre of mass of the lamina shown in figure