Collision and rotation problems?

If the center of mass is to the left of the pivot, then it topples.In summary, a cube with mass M and length 2a is moving with velocity v on a friction-less horizontal table. When it reaches the end of the table, it is stopped by a long block (height can be ignored). The value of v needed for the cube to topple from the table can be determined using the concept of toppling, where the center of mass must be to the left of the pivot. A sketch may help in understanding the problem further.
  • #1
Japser Lu
2
0
A cube with mass M and length 2a, move in the velocity v on the friction-less horizontal table, when it closes to the end of the table, it is stopped by the long block(the height can be ignored), ask what is the value of v to topple from the table? ( note: use one side of cube as the rotating axis and moment of inertia is 8Ma2/3)
 
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  • #2
A sketch would help to understand what is going on.

What did you figure out so far? This is a necessary part of homework problem threads.
 
  • #3
mfb said:
A sketch would help to understand what is going on.

What did you figure out so far? This is a necessary part of homework problem threads.
I figured it out. I remember the concept of topple the object.
 

Related to Collision and rotation problems?

1. What is collision and rotation?

Collision and rotation refer to the physical interactions between objects in motion. Collision involves two or more objects coming into contact with each other, while rotation is the movement of an object around its axis.

2. How do collisions affect rotational motion?

Collisions can affect rotational motion by transferring energy and momentum between objects. Depending on the type of collision, the objects involved may start rotating, change their rotational speed, or even stop rotating altogether.

3. What are some real-life examples of collision and rotation problems?

Some real-life examples of collision and rotation problems include car accidents, collisions between billiard balls, and the rotational motion of a spinning top or a merry-go-round.

4. How do scientists study collision and rotation problems?

Scientists study collision and rotation problems using a combination of theoretical models, computer simulations, and experimental methods. They may also use specialized equipment such as high-speed cameras and motion sensors to analyze the movements of objects during collisions and rotations.

5. What are some practical applications of understanding collision and rotation problems?

Understanding collision and rotation problems has many practical applications, such as in the design of safer cars and sports equipment, predicting the behavior of celestial bodies in space, and optimizing industrial processes involving rotating machinery.

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