what will happen to the string if the tension at uppermost point during vertical circular motion
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Answer:
At the topmost point, the centrifugal force acts vertically upward and the weight of the body acts vertically downward. Thus the tension in the string is minimum.
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Answer:
The tension may be zero at the top of the string. It depends on the speed of the mass being turned. At any given speed it will be less than at other part of the “orbit”.
Explanation:
- The motion of a Particle in Vertical Circle Whenever a body is released from a height, it travels vertically downward towards the surface of the earth.
- This is due to the force of gravitational attraction exerted on the body by the earth.
- The acceleration produced by this force is called acceleration due to gravity and is denoted by ‘g’. Value of ‘g’ on the surface of the earth is taken to the 9.8 m/s
- and it is same for all the bodies.
- It means all bodies (whether an iron ball or a piece of paper), when dropped (u = 0) from same height should fall with the same rapidity and should take the same time to reach the earth, it is the minimum velocity given to the particle at the lowest point to complete the circle.
- The tendency of the string to become slack is maximum when the particle is at the topmost point of the circle.
Consider this ball rotating vertically. There are three arrows here:
- The green arrow represents the force of Gravity. It always acts downwards. Since this is the weight of the ball, we call it W.
- The blue one represents the centrifugal force, and this force always acts away from the center of the circular path. We call this force C.
- The purple one is the final one, and represents the
- tension in the rope. This tension also provides the centripital force, which is a force which must always balance the centrifugal force for circular motion. We can call tension T.
- Now we can look at what happens when the ball is at the top and at the bottom.
(a) Top:
- Here, the upward and downward forces must cancel each other out - in fact, this would mean:
- T + W = C, or,
- T = (W - C)
(b) Bottom:
- This time, the Tension counterbalances the sum of the weight and the centrifugal forces:
- T = W + C
- And that makes it much more than the tension at the top.
- As a matter of fact, the tension is minimum at the top, and maximum at the bottom.
Reference Link
- https://brainly.in/question/50748462
- https://brainly.in/question/5357639
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