Help IN UNIFORM CIRCULAR MOTION

In summary, the conversation discusses finding the tension, period, and speed of a 1kg mass attached to a 1 meter long cord and moving as a conical pendulum at a 30 degree angle with the vertical. The suggestion to draw a free body diagram is given to help visualize the forces acting on the mass, namely tension and weight. It is mentioned that the tension can be broken into components and set equal to gravity since the mass is not moving up or down.
  • #1
Equilibrium
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A 1kg mass is attached to a cord 1 meter long and made to move as a conical pendulum. If the cord makes 30 degrees with the vertical, find a.) the tension in the cord; b.) the period of the motion and c.) the speed of the mass...
 
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  • #2
did you try the question?

try drawing a free body diagram. it may help.
 
  • #3
UCM.jpg
 
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  • #4
the diagram's kind of small. well, think about it this way: there are two forces acting on the ball- the tension and the weight. Now, is the ball moving up or down? since it isn't, you can break the tension into components and set the vertical one equal to the gravity.
 

FAQ: Help IN UNIFORM CIRCULAR MOTION

What is uniform circular motion?

Uniform circular motion is a type of motion in which an object moves in a circular path at a constant speed. This means that the magnitude of the object's velocity remains constant, but its direction is constantly changing.

What causes an object to undergo uniform circular motion?

An object will undergo uniform circular motion if it experiences a centripetal force, which is a force directed towards the center of the circular path. This force is necessary to keep the object moving in a circular path at a constant speed.

How is uniform circular motion different from linear motion?

In linear motion, an object moves in a straight line at a constant speed. In uniform circular motion, the object moves in a circular path at a constant speed. Additionally, in uniform circular motion, the object undergoes a change in direction, while in linear motion the direction remains constant.

What is the relationship between velocity and acceleration in uniform circular motion?

In uniform circular motion, the direction of the object's velocity is constantly changing, meaning that it is undergoing acceleration. However, the magnitude of the velocity remains constant, so the acceleration is perpendicular to the velocity and directed towards the center of the circular path.

How is centripetal force related to uniform circular motion?

Centripetal force is the force that keeps an object moving in a circular path at a constant speed. In uniform circular motion, the magnitude of the centripetal force is equal to the mass of the object multiplied by the square of its velocity divided by the radius of the circular path.

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