Home
Class 12
PHYSICS
Calculate the position of centre of mass...

Calculate the position of centre of mass of a system consisting of two particles of masses m_1 and m_2 separated by a distance L apar, from m_1?

Text Solution

AI Generated Solution

To calculate the position of the center of mass of a system consisting of two particles of masses \( m_1 \) and \( m_2 \) separated by a distance \( L \) from \( m_1 \), we can follow these steps: ### Step-by-Step Solution: 1. **Define the System**: We have two particles with masses \( m_1 \) and \( m_2 \). Let's place \( m_1 \) at the origin of our coordinate system (i.e., at position \( x_1 = 0 \)). 2. **Position of the Second Mass**: ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise SOLVED EXAMPLES|20 Videos
  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE-1|4 Videos
  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 7-previous year question|46 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IMPECCABLE|56 Videos

Similar Questions

Explore conceptually related problems

Two bodies of masses m_1 and m_2(

The reduce mass of two particles having masses m and 2 m is

The centre of mass of a system of two particle of masses m_1 and m_2 is at a distance d_1 from mass m_1 and at a distance d_2 from mass m_2 such that.

Write an expression for the gravitational force of attraction between two bodies of masses m_1 and m_2 separated by a distance r .

Find the gravitational potential at a point where the gravitational field intensity is zero due to two particles of masses m_(1)=1kg and m_(2)=4kg separated through a distance l=3m ?

Assertion : The centres of two cubes of masses m_(1) and m_(2) are separated by a distance r. The gravitational force between these two cubes will be (Gm_(1)m_(2))/(r^(2)) Reason : According to Newton's law of gravitation, gravitational force between two point masses m_(1) and m_(2) separated by a distance r is (Gm_(1)m_(2))/(r^(2)) .

There are two masses m_1 and m_2 placed at a distance l apart. Let the centre of mass of this system is at a point named C. If m_1 is displaced by l_1 towards C and m_2 is displaced by l_2 away from C. Find the distance, from C where new centre of mass will be located.

Assertion: An object of mass m_1 and another of mass m_2(m_2gtm_1) are released from certain distance. The objects move towards each other under the gravitational force between them. In this motion, centre of mass of their system will continuously move towards the heavier mass m_2 . Reason: In a system of a heavier and a lighter mass, centre of mass lies closer to the heavier mass.

Two concentric spherical shells have masses m_(1) , m_(2) and radit R_(1) , R_(2) (R_(1) lt R_(2)) . Calculate the force by this system on a particle of mass m , if it is placed at a distance ((R_(1) + R_(2)))/(2) from the centre.

Consider a system of two particles having masses m_(1) and m_(2) . If the particle of mass m_(1) is pushed towards the centre of mass of particles through a distance d , by what distance would the particle of mass m_(2) move so as to keep the mass centre of particles at the original position?