Circular Motion and resultant force

In summary, the conversation discusses the calculation of angular velocity using the equation F=mv^2/r and the forces acting on a mass. The solution involves considering the net force as the resultant force and solving for the angular velocity using the relationship between angular velocity and centripetal acceleration. The final answer is angular velocity = (g*meu/x)^(1/2).
  • #1
Priyadarshini
191
4

Homework Statement



WP_20160129_22_51_42_Pro.jpg

Homework Equations


F= mv^2/r
v = angular vel* r

The Attempt at a Solution


resultant force= ma-frictional force
= mv^2/r - mg*meu
= (angular vel)^2mx - mg*meu
But then how do I get the angular speed when I don;2 know the resultant force?
 
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  • #2
Priyadarshini said:
resultant force= ma-frictional force
Only one (horizontal) force acts on the mass.
 
  • #3
Doc Al said:
Only one (horizontal) force acts on the mass.
I don't understand.
 
  • #4
Priyadarshini said:
I don't understand.
Please identify the forces acting on the mass.
 
  • #5
Doc Al said:
Please identify the forces acting on the mass.
There is no centripetal force as the mass is not accelerating.
There is the friction force and centrifugal force
 
  • #6
Priyadarshini said:
There is no centripetal force as the mass is not accelerating.
There is the friction force and centrifugal force
That would be true if viewed from the rotating frame, which requires the inertial centrifugal force. If so, what is the acceleration?

Or you can view it from the usual inertial frame, where the only force would be friction and there would be a centripetal acceleration.
 
  • #7
Doc Al said:
That would be true if viewed from the rotating frame, which requires the inertial centrifugal force. If so, what is the acceleration?

Or you can view it from the usual inertial frame, where the only force would be friction and there would be a centripetal acceleration.

so F=mv^2/r
mv^2/r=N*meu
v*angular vel* m = mg*meu
so angular vel = g*meu/v
as v= angular vel* x
angular vel^2=g*meu/x
so angular vel = (g*meu/x)^(1/2)
Which is the answer, thank you!
 

Related to Circular Motion and resultant force

1. What is circular motion?

Circular motion is the movement of an object along a circular path or trajectory. It occurs when an object moves around a fixed point, known as the center of the circle, with a constant speed.

2. What is the difference between linear and circular motion?

The main difference between linear and circular motion is that in linear motion, an object moves along a straight line, while in circular motion, an object moves along a circular path. In linear motion, the velocity and acceleration are in the same direction, while in circular motion, the velocity is constantly changing, and the acceleration is directed towards the center of the circle.

3. How is resultant force related to circular motion?

The resultant force in circular motion is the net force acting on an object moving along a circular path. It is directed towards the center of the circle and is responsible for the change in direction of the object's velocity. The magnitude of the resultant force is equal to the mass of the object multiplied by the centripetal acceleration.

4. What is centripetal force?

Centripetal force is the force that acts towards the center of the circle, keeping an object moving along a circular path. It is a result of the object's inertia, which causes it to resist changes in its motion. In circular motion, the centripetal force is equal to the resultant force.

5. What are some real-life examples of circular motion and resultant force?

Some examples of circular motion and resultant force in our daily lives include the Earth orbiting around the Sun, a car turning a corner, a satellite orbiting the Earth, and a rollercoaster moving along its track. In all of these cases, an object is moving along a circular path, and the resultant force is responsible for keeping the object in that path.

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