Home
Class 11
PHYSICS
Calculate the velocity of the centre of ...

Calculate the velocity of the centre of mss of the system of particles shown in figure.

Text Solution

Verified by Experts

`m_1=1.0kg`
`V_1=(-15 cos 37^0veci-1.5sin37^0vecj)`
`m_2=1.2kg`
`V_2=0.4vecj`
`m_3=1.5kg`
`V_3=-1.0cos37^0veci+1.0sin37^0vecj`)`
`m_4=0.50kg`
`V_4=3.0veci`
`m_5=1.0kg`
`V_5=2.0cos37^0veci-2.0sin37^0vecj`
`V_(cm)=(m_1 v_1+m_2v_2+m_2v_3+m_4v_4+m_5v_5)/(m_1+m_2+m_3+mK_4+m_5)`
`1/(1.0+1.2+1.5+1.0+0.50)^([1.0(-1.5xx4/5veci-1.5xx3/5vecj)+...-2.0xx3/5vecj])`
`=0.20m/s at 45^0` below the direction towards right,
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CENTRE OF MASS, LINEAR MOMENTUM, COLLISION

    HC VERMA|Exercise Objective 2|11 Videos
  • CALORIMETRY

    HC VERMA|Exercise Exercises|18 Videos
  • CIRCULAR MOTION

    HC VERMA|Exercise Exercises|30 Videos

Similar Questions

Explore conceptually related problems

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

Calculate centre of mass of the system

Knowledge Check

  • The velcoity of centre of mass of the system as shown in the figure :-

    A
    `((2 - 2sqrt3)/(3)) hat(i) - (1)/(3)hat(j)`
    B
    `((2 + 2sqrt3)/(3)) hat(i) - (2)/(3) hat(j)`
    C
    `4 hat(i)`
    D
    None of these
  • The velocity (in m/s) of centre of mass of the system as shown in the figure is :

    A
    `(2 [1 + (4)/(sqrt2)] hat(i) + 8 [(1)/(sqrt2) + 2 ] hat(j))/(7)`
    B
    `(2 [1 + (4)/(sqrt2)] hat(i) + 8 [(1)/(sqrt2) - 2 ] hat(j))/(7)`
    C
    `(2 [1 + (4)/(sqrt2)] hat(i) - 8 [(1)/(sqrt2) + 2 ] hat(j))/(7)`
    D
    `(8 [(1)/(sqrt2) - 2] hat(i) + 2 [1 + (4)/(sqrt2] hat(j)])/(7)`
  • Which of the following points is the likely position of the centre of mass of the system shown in figure?

    A
    A pencil
    B
    B
    C
    C
    D
    D
  • Similar Questions

    Explore conceptually related problems

    consider there particles connected by massless rods. Find the locations fo the centre of mass of the system of three particles as shown in fig 4E.36

    The coordinate of the centre of mass of a system as shown in figure : -

    The coordinate of the centre of mass of a system as shown in figure : -

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

    The velocity of the centre of mas of the system of two particle each of mass 2kg , as shown in figure, is