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Three point masses of 1kg, 2kg and 3kg l...

Three point masses of `1kg`, `2kg` and `3kg` lie at `(0,0)`, `(1,2)`, `(3,-1)` respectively. Calculate the coordinates of the centre of mass of the system.

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To find the coordinates of the center of mass of the system of three point masses, we can use the formula for the center of mass (CM) in two dimensions. The coordinates of the center of mass (X_cm, Y_cm) can be calculated using the following formulas: 1. **Identify the masses and their coordinates:** - Mass \( m_1 = 1 \, \text{kg} \) at coordinates \( (x_1, y_1) = (0, 0) \) - Mass \( m_2 = 2 \, \text{kg} \) at coordinates \( (x_2, y_2) = (1, 2) \) - Mass \( m_3 = 3 \, \text{kg} \) at coordinates \( (x_3, y_3) = (3, -1) \) 2. **Calculate the total mass:** ...
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AAKASH INSTITUTE ENGLISH-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Try Yourself
  1. Two bodies of masses 1kg and 3kg are lying in xy plane at (0,0) and (2...

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  7. Two particles of equal mass are moving along the same straight line wi...

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  8. A shell following a parabolic path explodes somewhere in its flight. T...

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  9. All the particles are situated at a distance R from the origin. The di...

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  10. Will the velocity and acceleration of centre of mass change if particl...

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  11. vecA=(3hati+2hatj-6hatk) and vecB=(hati-2hatj+hatk), find the scalar p...

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  12. vecA=(hati-2hatj+6hatk) and vecB=(hati-2hatj+hatk), find the cross pro...

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  13. Find a unit vector in the direction of vector vecA=(hati-2hatj+hatk)

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  14. Find a vector perpendicular to vector vecA=(hati+2hatj-3hatk) as well ...

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  15. The angular displacement of a particle is 24 rad in 10 seconds. Calcul...

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  16. The angular velocity of a rigid body is 24 rad s^(-1), Calculate the t...

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  17. The angular velocity of circular disc of radius 2cm is 20 rad s^(-1). ...

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  18. What is the angular velocity of a particle lying on the axis of rotati...

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  19. What is the angular acceleration of a particle moving with constant an...

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  20. A wheel is rotating with an angular velocity of 3 rad s^(-1). If the a...

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