Home
Class 12
PHYSICS
Will the velocity and acceleration of ce...

Will the velocity and acceleration of centre of mass change if particles `A`, `B` and `C` are projected from different locations but with same velocities ?

Text Solution

AI Generated Solution

To solve the question, we need to analyze the situation of three particles A, B, and C being projected from different locations but with the same velocity. We will determine if the velocity and acceleration of the center of mass (CM) of the system change under these conditions. ### Step-by-Step Solution: 1. **Define the System**: Let the masses of particles A, B, and C be \( m_A \), \( m_B \), and \( m_C \) respectively. Assume they are projected with the same velocity \( v_0 \). 2. **Velocity of Center of Mass**: ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|13 Videos
  • SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-D (Assertion and reason))|5 Videos
  • TEST 1

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

Two identical particles 1 and 2 are projected from surface of earth with same velocities in the directions shows in figure.

A nonzero external force acts on a system of particles. The velocity and the acceleration of the centre of mass are found to be v_(0) "and"a_(0) at an instant t. It is possible that:

A satellite is orbiting around the earth in a circular orbit of radius r . A particle of mass m is projected from the satellite in a forward direction with a velocity v = 2//3 times the orbital velocity (this velocity is given w.r.t. earth). During subsequent motion of the particle, its minimum distance from the centre of earth is

Assertion: In projectile motion horizontal velocity remains same but vertical velocity continously change Reason: particle strikes the ground with same vertical velocity with which the particle was thrwon in vertical direction.

Let v and a be the instantaneous velocity and acceleration of a particle moving in a plane. Then rate of change of speed (dv)/(dt) of the particle is equal to

Statement-I : When velocity of a particle is zero then acceleration of particle is zero. Statement-II : Acceleration is equal to rate of change of velocity.

Give examples where a. the velocity of a particle is zero but its acceleration is not zero. b.the velocity is opposite in direction to the acceleration, c. the velocity is perpendicular to the acceleration.

A particle A is projected from the ground with an initial velocity of 10m//s at an angle of 60^(@) with horizontal. From what height should an another particle B be projected horizontally with velocity 5m//s so that both the particles collide in ground at point C if both are projected simultaneously g=10 m//s^(2) .

Two balls A and B are projected vertically upwards with different velocities. What is the relative acceleration between them?

For a particle moving along straight line with constant acceleration (a), we define velocity of the particle with time as v=u+at , (u = initial velocity) Draw the velocity-time graph of the particle in following situations. (i) Velocity is decresing with time (i.e., acceleration in negative) (ii) Initial velocity is negative but acceleration is positive

AAKASH INSTITUTE ENGLISH-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Try Yourself
  1. A shell following a parabolic path explodes somewhere in its flight. T...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. A force (hati-2hatj+3hatk) acts on a particle lying at origin. What is...

    Text Solution

    |

  15. A force (hati-2hatj+3hatk) acts on a particle of position vector (3hat...

    Text Solution

    |

  16. A particle of mass 1kg is moving about a circle of radius 1m with a sp...

    Text Solution

    |

  17. What is the angular momentum of a particle at rest ? Hint. vecv=0.

    Text Solution

    |

  18. A torque of 5Nm is applied on a particle for 2 seconds, calculate the ...

    Text Solution

    |

  19. The angular momentum of a particle changes from 4kg m^(2)s^(-1) to 8kg...

    Text Solution

    |

  20. Give an example of a body in rotational equilibrium but not in transla...

    Text Solution

    |