Home
Class 11
PHYSICS
Two particles of mass m(1) and m(2) are ...

Two particles of mass `m_(1)` and `m_(2)` are projected from the top of a tower. The particle `m_(1)` is projected vertically downward with speed u and `m_(2)` is projected horizontally with same speed. Find acceleration of CM of system of particles by neglecting the effect of air resistance.

Text Solution

AI Generated Solution

To find the acceleration of the center of mass (CM) of the system of two particles projected from the top of a tower, we can follow these steps: ### Step 1: Identify the forces acting on the particles Both particles \( m_1 \) and \( m_2 \) are subjected to gravitational force. The only force acting on them is the weight due to gravity, which acts downward. ### Step 2: Determine the acceleration of each particle Since both particles are in free fall (neglecting air resistance), they will experience the same acceleration due to gravity, denoted as \( g \). Thus: - The acceleration of particle \( m_1 \) (which is projected downward) is \( a_1 = g \) (downward). ...
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    DC PANDEY ENGLISH|Exercise Check points|50 Videos
  • CENTRE OF MASS

    DC PANDEY ENGLISH|Exercise Taking it together|73 Videos
  • CALORIMETRY AND HEAT TRANSFER

    DC PANDEY ENGLISH|Exercise Medical entrance s gallery|38 Videos
  • CENTRE OF MASS, IMPULSE AND MOMENTUM

    DC PANDEY ENGLISH|Exercise Comprehension type questions|15 Videos

Similar Questions

Explore conceptually related problems

A particle is projected vertically upwards in vacuum with a speed u .

If two particles of masses m_(1) and m_(2) are projected vertically upwards with speed v_(1) and v_(2) , then the acceleration of the centre of mass of the system is

A particle of mass m is thrown horizontally from the top of a tower and anoher particle of mass 2m is thrown vertically upward. The acceleration of centre of mass is

A particle of mass m is thrown horizontally from the top of a tower and anoher particle of mass 2m is thrown vertically upward. The acceleration of centre of mass is

A particle projected from ground moves at angle 45^(@) with horizontal one second after projection and speed is minimum two seconds after the projection The angle of projection of particle is [ Neglect the effect of air resistance )

From the top of a tower of height 200 m , a ball A is projected up with 10 m s^(-1) . And 2 s later another ball B is projected verticall down with the same speed. Then .

A particle of mass m is projected upword with velocity v=(v_(e))/(2) ( v_(e)) escape of the particle is

Two particles A and B are projected simultaneously from a fixed point of the ground. Particle A is projected on a smooth horizontal surface with speed v, while particle B is projected in air with speed v, while particle B is projected in air with speed (2v)/(sqrt(3)) . If particle B hits the particle A, the angle of projection of B with the vertical is

A particle is projected with speed 20m s^(-1) at an angle 30^@ With horizontal. After how much time the angle between velocity and acceleration will be 90^@

A particle is projected horizontally from a tower with velocity u towards east. Wind provides constant horizontal acceleration (g)/(2) towards west. If particle strikes the ground vertically the then :

DC PANDEY ENGLISH-CENTRE OF MASS-Medical entrances gallery
  1. Two particles of mass m(1) and m(2) are projected from the top of a to...

    Text Solution

    |

  2. A rod of weight w is supported by two parallel knife edges A and B an...

    Text Solution

    |

  3. Two particles of masses m(1),m(2) move with initial velocities u(1)"an...

    Text Solution

    |

  4. Figure shows a smooth curved track terminating in a smooth horizontal ...

    Text Solution

    |

  5. A block of mass m moving at speed upsilon collides with another block ...

    Text Solution

    |

  6. Figure shows a smooth curved track terminating in a smooth horizontal ...

    Text Solution

    |

  7. A frog sits on the end of a long board of length L = 5 m. The board re...

    Text Solution

    |

  8. A particle of mass m collides with another stationary particle of mass...

    Text Solution

    |

  9. A ball of mass M falls from a height h on a floor which the coefficien...

    Text Solution

    |

  10. Three particles of masses 0.50 kg, 1.0 kg and are placed at the corner...

    Text Solution

    |

  11. A large number of particles are placed around the origin, each at a di...

    Text Solution

    |

  12. A circular disc of radius R rolls without slipping along the horizonta...

    Text Solution

    |

  13. The linear momentum of a particle varies with time t as p= a +bt + ct^...

    Text Solution

    |

  14. A body of mass (4m) is laying in xy-plane at rest. It suddenly explode...

    Text Solution

    |

  15. The position of center of mass of a system of particles does not depen...

    Text Solution

    |

  16. A bullet is fired from the gun. The gun recoils, the kinetic energy of...

    Text Solution

    |

  17. An explosion blows a rock into three parts. Two parts go off at right ...

    Text Solution

    |

  18. The linear momentum is conserved in

    Text Solution

    |

  19. Three charges +q,-q, and +2q are placed at the verticles of a right an...

    Text Solution

    |

  20. A ball of mass 'm' moving with a horizontal velocity 'v' strikes the b...

    Text Solution

    |

  21. In an inelastic collision

    Text Solution

    |