Angular velocity of rod

In summary, the conversation discusses a problem involving a rod pivoted at the center, a falling wax blob, and the resulting angular velocity. The use of energy conservation is suggested but ultimately ruled out due to the inelastic collision between the blob and the rod. The concept of perfectly inelastic collisions is introduced and the use of conservation of angular momentum is proposed as a solution.
  • #1
nil1996
301
7

Homework Statement


A rod of length L and mass M is pivoted at the center C such that it can freely rotate in vertical plane.Initially the rod is at horizontal position.A blob of wax of mass M falls vertically with speed V and sticks to the rod midway between center and one end.If the rod rotates with angular speed ω what will be the angular velocity in terms of V and L?


Homework Equations



none

The Attempt at a Solution



Can i use energy conservation here.The kinetic energy carried by the wax blob will be transferred into rotational energy.Is this approach right?
 
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  • #2
nil1996 said:

Homework Statement


A rod of length L and mass M is pivoted at the center C such that it can freely rotate in vertical plane.Initially the rod is at horizontal position.A blob of wax of mass M falls vertically with speed V and sticks to the rod midway between center and one end.If the rod rotates with angular speed ω what will be the angular velocity in terms of V and L?


Homework Equations



none

The Attempt at a Solution



Can i use energy conservation here.The kinetic energy carried by the wax blob will be transferred into rotational energy.Is this approach right?

No, the blob sticks to the rod, it is inelastic collision.

ehild
 
  • #3
So how do we calculate how much energy was useful from that collision?
 
  • #4
  • #5
i think using conservation of angular momentum will get me the answer.right?
 
  • #6
Yes, but you should justify this assumption.
 

1. What is angular velocity of a rod?

The angular velocity of a rod is a measurement of how quickly the rod is rotating around a fixed axis. It is usually measured in radians per second (rad/s) or degrees per second (°/s).

2. How is the angular velocity of a rod calculated?

The angular velocity of a rod can be calculated by dividing the change in angle (in radians or degrees) by the change in time. It can also be calculated by dividing the linear velocity of a point on the rod by the distance of that point from the axis of rotation.

3. What factors affect the angular velocity of a rod?

The angular velocity of a rod can be affected by factors such as the length of the rod, the mass distribution of the rod, and the applied torque or force. Other factors include the shape of the rod and the friction between the rod and the axis of rotation.

4. How does the angular velocity of a rod relate to its linear velocity?

The linear velocity of a point on a rod is directly proportional to the angular velocity of the rod. This means that the faster the rod is rotating, the faster the point on the rod is moving. The linear velocity is also affected by the distance of the point from the axis of rotation.

5. Why is the angular velocity of a rod important in physics?

The angular velocity of a rod is an important concept in physics because it helps us understand the motion and dynamics of rotating objects. It is essential in calculating the rotational energy, momentum, and forces acting on a rotating system. It is also used in various applications such as in engines, turbines, and gyroscopes.

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