What angle does it separate from the bowl?

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In summary, the conversation discusses a problem where an ice cube is placed on top of an overturned spherical bowl and is expected to slide downward from rest. The question is at what angle will the cube separate from the bowl. The conversation suggests using conservation of energy and analyzing forces, specifically Newton's 2nd law. It is mentioned that the bowl being spherical implies circular motion for the ice cube, but the equation a=(v^2)/r only works for constant speed. The conversation continues to discuss different approaches to solving the problem and provides hints such as considering the component of weight in the radial direction.
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student24
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Homework Statement


an ice cube is placed on top of an overturned spherical bowl of radious r. if the cube slides downward from rest at the top of the bowl, at what angle does it separate from the bowl?


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The Attempt at a Solution


i'm stuck with this problem. i have thought about it for a loong time and i am deperate for a huge hint. i know the answer but i need to know how they got it. the question came from the energy chapter and i simply don't know how to approach it. please help.
 
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  • #2
Hint: In additional to using conservation of energy, you'll need to analyze forces and apply Newton's 2nd law.
 
  • #3
yeah, I've thought about that. it will fall off when the normal force goes to zero. or when the net force is just the weight. but that still gets me no where. i am not noticing somehting very obvious apparently. please say more.
 
  • #4
Take advantage of the fact that the bowl is spherical. What kind of motion does that imply for the ice cube?
 
  • #5
yeah, circular motion. i know the cube follows a circle. i thought about using a=(v^2)/r but that equation is only valid for constant speed. the cube's speed increases as it falls. i have thought of everything, i think. what am i missing?
 
  • #6
student24 said:
i thought about using a=(v^2)/r but that equation is only valid for constant speed.
Why do you think that? :wink:
 
  • #7
hmm, my book says that "when an object moves in a circle of radius r with constant speed v, its cent accel is." i guess not then. let me play around with that then, i will return tomorrow if i am still stuck. ty for helping me so far. now i will attack some more.
 
  • #8
ok, I've thought about it and i cannot get any closer. i need the answer. this problem is driving me crazy. the net force acting on it before it falls off is -W+N=(mv^2)/r that's all i see. need help.
 
  • #9
Another hint: Consider forces in the radial direction (normal to the surface). What's the component of the weight in the radial direction?
 

FAQ: What angle does it separate from the bowl?

What is the angle of separation between the bowl and the surface it is placed on?

The angle of separation between the bowl and the surface it is placed on depends on the shape and size of the bowl, as well as the flatness and levelness of the surface. It is not a fixed value and can vary in each situation.

How can I measure the angle of separation between the bowl and the surface?

To measure the angle of separation, you can use a protractor or a measuring tool with an angle measurement feature. Place the bowl on the surface and align the measuring tool with the edge of the bowl and the surface to determine the angle.

What factors can affect the angle of separation between the bowl and the surface it is placed on?

The angle of separation can be affected by the weight and distribution of the contents in the bowl, as well as any imperfections or unevenness in the surface. The shape and size of the bowl can also play a role.

Is there a specific angle that is ideal for separating the bowl from the surface?

There is no specific angle that is considered ideal for separating the bowl from the surface. It ultimately depends on the purpose and function of the bowl, as well as personal preference.

Can the angle of separation between the bowl and the surface change over time?

Yes, the angle of separation between the bowl and the surface can change over time due to various factors such as movement, weight of the contents, and changes in the surface. It is important to regularly check and adjust the angle if necessary to ensure stability.

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