Home
Class 11
PHYSICS
A rod of mass M and length L is kept on ...

A rod of mass M and length L is kept on a frictionless horizontal floor. A particle of mass m moving perpendicular to the rod with a speed v strikes at the end of the rod and sticks there. Calculate angular velocity acquired by the combined system.

Text Solution

AI Generated Solution

To solve the problem of a rod of mass \( M \) and length \( L \) being struck by a particle of mass \( m \) moving perpendicular to the rod, we will use the principles of conservation of linear momentum and conservation of angular momentum. ### Step-by-Step Solution: 1. **Identify Initial Conditions**: - The rod is initially at rest on a frictionless surface. - The particle of mass \( m \) is moving with a velocity \( v \) perpendicular to the rod. ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise NCERT FILE ( NCERT TEXTBOOK EXERCISES )|21 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise NCERT FILE ( NCERT (ADDITIONAL EXERCISES) )|12 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    MODERN PUBLICATION|Exercise Conceptual Questions|24 Videos

  • PHYSICAL WORLD

    MODERN PUBLICATION|Exercise Revision exercises (Long answer questions)|6 Videos

  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

Similar Questions

Explore conceptually related problems

A rod of mass m and length L is kept on a frictionless horizontal floor. A particle of same mass m moving perpendicular to the rod with a speed v strikes at the end of the rod. If coefficient of elasticity for the collision is 1 then calculate angular velocity acquired by the rod.

A uniform rod of mass M and length L lies on a frictionless horizontal plane. A particle of same mass M moving with speed v_(0) perpendicular to the length of the rod strikes the end of the rod and sticks to it. Find the velocity of the center of mass and the angular velocity about the center of mass of (rod + particle) system.

A uniform rod of mass M and length a lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance a/4 from the centre and stops after the collision. Find a. the velocity of the cente of the rod and b. the angular velocity of the rod abut its centre just after the collision.

A uniform rod of mass M and length L lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance L//6 from the center and stops after the collision. Find (a) the velocity of center of mass of rod and (b) the angular velocity of the rod about its center just after collision.

Two particles A and B , each of mass m , are connected by a light rod of length L lying on a smooth horizontal surface. A particle of mass m moving with speed v_(0) strikes to the end of rod and sticks to A as shown . Find (a) the velocity of the center of mass, (b) the angular velocity about the center of mass of system ( A+B+ particle) and (c) the linear speeds of A and B immediately after collision.

A rod of mass 4m and length L is hinged at the mid point. A ball of mass 'm' moving with speed V in the plane of rod, strikes at the end at an angle of 45^@ and sticks to it. The angular velocity of system after collision is-

A uniform rod of length l and mass 2m rests on a smooth horizontal table. A point of mass m moving horizontally at right angle to the rod with velocity v collides with one end of the rod and sticks to it, then:

A uniform rod of length l and mass 2 m rests on a smooth horizontal table. A point mass m moving horizontally at right angles to the rod with velocity v collides with one end of the rod and sticks it. Then

A rod of mass m and length l hinged at the centre is placed on a horizontal surface. A bullet of mass m moving with velocity v strikes the end. A of the rod and gets embedded in it. The angular velocity with which the systems rotates about its centre of mass after the bullet strikes the rod