Home
Class 12
PHYSICS
Locate the centre of mass of a system of...

Locate the centre of mass of a system of three particles 1.0 kg, 2.0 kg and 3.0 kg placed at the corners of an equilateral traingular of side 1m.

Text Solution

Verified by Experts

`x_(cm)=(m_(1)x_(1)+m_(2)x_(2)+m_(3)x_(3))/(m_(1)+m_(2)+m_(3))=(1(0)+2((1)/(2))+3(1))/(1+2+3)=(2)/(3)m`
`y_(cm)=(m_(1)y_(1)+m_(2)y_(2)+m_(3)y_(3))/(m_(1)+m_(2)+m_(3))`
`=(1(0)+2(sqrt(3)//2)+3(0))/(1+2+3)=(sqrt(3))/(6)m`.
Promotional Banner

Topper's Solved these Questions

  • COLLISION

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|10 Videos

  • COLLISION

    FIITJEE|Exercise SOLVED PROBLEMS (OBJECTIVE)|18 Videos

  • AC CIRCUITS

    FIITJEE|Exercise ASSERTION REASONING TYPE|1 Videos

  • CURRENT ELECTRICITY

    FIITJEE|Exercise Comprehension -4|3 Videos

Similar Questions

Explore conceptually related problems

The position co-ordinates of the centre of mass of a system of three particles of equal masses which are placed on the verctices of an equilateral triangle of a side a are shown. Locate centre mass?

The PE of three objects of masses 1kg,2kg and 3kg placed at the three vertices of an equilateral triangle of side 20cm is

The centre of masses of three particles of mass m_(1) = m_(2)=m_3 = 1 kg at the corners of an equilateral triangle of side 1 m will be -

Find the PE of three objects of masses 1kg , 2kg and 3kg placed at the three vertices of an equilateral triangle of side 50cm ?

Three particles of msses 1.0 kg 2.0 kg and 3.0 kg are placed at the corners A,B and C respectively of an equilateral triangle ABC of edge 1m. Locate the centre ofmass of the system.

Three spherical balls of masses 1 kg, 2 kg and 3 kg are placed at the corners of an equilaterial triangle of side 1m.Find the magnitude of the gravitational force exerted by 2 kg and 3 kg masses on 1 kg mass.

Three sperical balls of masses 1kg, 2kg and 3kg are placed at the corners of an equilateral triangle of side 1m. Find the magnitude of the gravitational force exerted by 2kg and 3kg masses on 1kg mass.

Three point charges 3nC, 6nC and 6nC are placed at the corners of an equilateral triangle of side 0.1 m. The potential energy of the system is

The centre of mass of a system of two uniform spherical masses of 5 kg and 35 kg with centres of them 0.7 m apart is