(A) Before the explosion,the particle was moving along the $x$-axis,which means it had no $y$-component of velocity. Consequently,the center of mass o

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(A) Before the explosion,the particle was moving along the $x$-axis,which means it had no $y$-component of velocity. Consequently,the center of mass of the system does not move in the $y$-direction,so $y_{CM} = 0$. Using the formula for the center of mass: $y_{CM} = \frac{m_1 y_1 + m_2 y_2}{m_1 + m_2}$. Substituting the given values: $0 = \frac{(m/4)(+15) + (3m/4)(y)}{m}$. This simplifies to: $0 = \frac{15}{4} + \frac{3y}{4}$. Solving for $y$: $\frac{3y}{4} = -\frac{15}{4}$,which gives $y = -5 \ cm$.

Class 11 Physics System of Particles and Rotational Motion Centre of mass (Point Mass)

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An isolated particle of mass $m$ is moving in a horizontal plane $(x-y)$ along the $x$-axis,at a certain height above the ground. It suddenly explodes into two fragments of masses $m/4$ and $3m/4$. An instant later,the smaller fragment is at $y = +15 \ cm$. The larger fragment at this instant is at

IIT 1997 All IIT

A
$-5 \ cm$
B
$+20 \ cm$
C
$+5 \ cm$
D
$-20 \ cm$

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System of Particles and Rotational Motion

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Centre of mass (Point Mass)

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An isolated particle of mass $m$ is moving in a horizontal plane $(x-y)$ along the $x$-axis,at a certain height above the ground. It suddenly explodes into two fragments of masses $m/4$ and $3m/4$. An instant later,the smaller fragment is at $y = +15 \ cm$. The larger fragment at this instant is at

Similar Questions

The linear mass density of a rod of length $L$ varies as $\lambda = A + Bx$. Find the center of mass.

Three identical spheres of radius $r$ are placed on a horizontal surface such that they touch each other. These spheres are arranged such that their centers form an equilateral triangle. The center of mass of this system will be at ........

$A$ slender uniform rod of length $L$ is balanced vertically at a point $P$ on a horizontal surface having some friction. If the top of the rod is displaced slightly to the right,the position of its centre of mass at the time when the rod becomes horizontal is:

Four bodies of equal mass start moving with the same speed as shown in the figure. In which of the following combinations will the centre of mass remain at the origin?

Three particles of masses $1\,kg$,$\frac{3}{2}\,kg$,and $2\,kg$ are located at the vertices of an equilateral triangle of side $a$. The $x, y$ coordinates of the centre of mass are

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