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Only need 4 and 5 Yesterday you saw in the news that the Giant Asian Murder Hornet has migrated to North America. You didn't think much about it until today when one of those suckers crashed at high speed into the screen door at the back of your house (splat!). The thing hit the door so hard that the door swung shut! We will assume that GAMH had a mass of m = 0.069 kg and was moving with an amazing velocity of v = 9.2 meters/second. The GAMH splatted a distance d = 0.65 meters from the hinge. The door itself can be treated as a rod of mass M = 0.955 kg with a length of L = 1.00 meters rotating about its end. Determine all the following: Write the FORMULA for the moment of inertia of the door without the hornet: I =  ML23​       kg m2 Write the FORMULA for the moment of inertia of the door with the hornet: I =  ML23​+md2       kg m2 Determine the angular momentum of the hornet before it collides with the door Lhornet =.412   kg m2/s 4. Determine the angular velocity of the hornet-stained door after the collision ?2 =  rad/sec 5. Determine the time required for the door to close: t(? = ?/2) =  seconds

Only need 4 and 5 Yesterday you saw in the news that the Giant Asian Murder Hornet has migrated to North America. You didn't think much about it until today when one of those suckers crashed at high speed into the screen door at the back of your house (splat!). The thing hit the door so hard that the door swung shut! We will assume that GAMH had a mass of m = 0.069 kg and was moving with an amazing velocity of v = 9.2 meters/second. The GAMH splatted a distance d = 0.65 meters from the hinge. The door itself can be treated as a rod of mass M = 0.955 kg with a length of L = 1.00 meters rotating about its end. Determine all the following: Write the FORMULA for the moment of inertia of the door without the hornet: I =  ML23​       kg m2 Write the FORMULA for the moment of inertia of the door with the hornet: I =  ML23​+md2       kg m2 Determine the angular momentum of the hornet before it collides with the door Lhornet =.412   kg m2/s 4. Determine the angular velocity of the hornet-stained door after the collision ?2 =  rad/sec 5. Determine the time required for the door to close: t(? = ?/2) =  seconds

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Only need 4 and 5

Yesterday you saw in the news that the Giant Asian Murder Hornet has migrated to North America. You didn't think much about it until today when one of those suckers crashed at high speed into the screen door at the back of your house (splat!). The thing hit the door so hard that the door swung shut!

We will assume that GAMH had a mass of m = 0.069 kg and was moving with an amazing velocity of v = 9.2 meters/second. The GAMH splatted a distance d = 0.65 meters from the hinge. The door itself can be treated as a rod of mass M = 0.955 kg with a length of L = 1.00 meters rotating about its end.


Determine all the following:
Write the FORMULA for the moment of inertia of the door without the hornet: I = 

ML23​
 
 

  kg m2
Write the FORMULA for the moment of inertia of the door with the hornet: I = 

ML23​+md2
 
 

  kg m2

Determine the angular momentum of the hornet before it collides with the door Lhornet =.412   kg m2/s
4. Determine the angular velocity of the hornet-stained door after the collision ?2 =  rad/sec
5. Determine the time required for the door to close: t(? = ?/2) =  seconds

### Description This image illustrates a basic physics problem involving rotational motion and conservation of angular momentum. It likely depicts a scenario in which a bee of mass \(m\) is flying with velocity \(V\) towards a rod of length \(L\) and mass \(M\). The rod is hinged at the top point, allowing it to rotate around this hinge point. ### Components 1. **Bee:** - Represented with its mass denoted by \(m\). - Moving toward the rod with velocity denoted by \(V\). 2. **Rod:** - Has a length \(L\) and mass \(M\). - Rotates around a hinge at the top end. - Initially in a vertical position, capable of swinging to a horizontal position. 3. **Hinge:** - Acts as the pivot point for the rod's rotation. 4. **Distance \(d\):** - The vertical distance from the bee to the point of impact on the rod. 5. **Angular Motion:** - The diagram shows the rod's potential to rotate from its initial vertical position to a horizontal position with a dashed arc. - The angle \(\theta\) in this context changes from 0 to \(\frac{\pi}{2}\) radians. 6. **Problem Statement:** - Find the time \( t \) it takes for the rod to swing from vertically downward to a horizontal position, when \( \theta = \frac{\pi}{2} \). This diagram is useful for understanding concepts such as angular momentum, energy conservation in rotational dynamics, and the interplay between linear and rotational motions.
Transcribed Image Text:### Description This image illustrates a basic physics problem involving rotational motion and conservation of angular momentum. It likely depicts a scenario in which a bee of mass \(m\) is flying with velocity \(V\) towards a rod of length \(L\) and mass \(M\). The rod is hinged at the top point, allowing it to rotate around this hinge point. ### Components 1. **Bee:** - Represented with its mass denoted by \(m\). - Moving toward the rod with velocity denoted by \(V\). 2. **Rod:** - Has a length \(L\) and mass \(M\). - Rotates around a hinge at the top end. - Initially in a vertical position, capable of swinging to a horizontal position. 3. **Hinge:** - Acts as the pivot point for the rod's rotation. 4. **Distance \(d\):** - The vertical distance from the bee to the point of impact on the rod. 5. **Angular Motion:** - The diagram shows the rod's potential to rotate from its initial vertical position to a horizontal position with a dashed arc. - The angle \(\theta\) in this context changes from 0 to \(\frac{\pi}{2}\) radians. 6. **Problem Statement:** - Find the time \( t \) it takes for the rod to swing from vertically downward to a horizontal position, when \( \theta = \frac{\pi}{2} \). This diagram is useful for understanding concepts such as angular momentum, energy conservation in rotational dynamics, and the interplay between linear and rotational motions.
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