The tension in the string of oscillating pendulum is maximum at the mean position and minimum at the extreme position. The tension in the oscillating pendulum is due to the sum of weight of the pendulum and the centripetal force on the mass of the pendulum.
At what point is tension maximum?
Solution: At the bottom-most point , the centrifugal force acts vertically downward and the weight of the body acts vertically downward. Thus the tension in the string is maximum. At the topmost point, the centrifugal force acts vertically upward and the weight of the body acts vertically downward.
How do you find maximum tension?
The tension on an object is equal to the mass of the object x gravitational force plus/minus the mass x acceleration .
Why tension is maximum at mean position?
The first is clearly maximized when the string is vertical. The second is also maximized when the string is vertical, because the mass is lowest and hence moving fastest at that point. So the highest tension occurs when the string is vertical , which is the mean position.
How do you find minimum and maximum tension?
(a) The minimum tension is at the top . Centripetal force = constant (constant speed) = mv 2 /r = 192 N. The maximum tension is at the bottom. Centripetal force = constant (constant speed) = mv 2 /r = 192 N.
Is tension equal to weight?
Tension in the rope must equal the weight of the supported mass , as we can prove using Newton’s second law. If the 5.00-kg mass in the figure is stationary, then its acceleration is zero, and thus F net = 0. ... Thus, just as you would expect, the tension equals the weight of the supported mass: T = w = mg.
How do you find tension angle?
- T1 sin(a) + T2 sin(b) = m*g ———-(1) Resolving the forces in x-direction: The forces acting in the x-direction are the components of tension forces T1 and T2 in opposite directions. ...
- T1cos(a) = T2cos(b)———————(2) ...
- T2 = [T1cos(a)]/cos(b)]
At which position in the string of simple pendulum has maximum tension?
For an oscillating simple pendulum, the tension in the string is maximum at the mean position and minimum at the extreme position.
Why acceleration is zero when velocity is maximum?
Why acceleration is maximum at extreme position? Acceleration is zero because at that point, it is the mean position , which means it is the equilibrium position. The velocity is maximum there because acceleration changes direction at that point, hence at all other points, the acceleration is decelerating the object.
At which position is the speed of a particle executing SHM greatest?
At either position of maximum displacement, the force is greatest and is directed toward the equilibrium position , the velocity (v) of the mass is zero, its acceleration is at a maximum, and the mass changes direction.
How do you calculate minimum tension?
Neither the weight nor the rope are moving – the entire system is at rest. Because of this, we know that, for the weight to be held in equilibrium, the tension force must equal the force of gravity on the weight. In other words, Tension (F t ) = Force of gravity (F g ) = m × g.
How do you find maximum tension in circular motion?
This force F is responsible for the centripetal acceleration, F = mv 2 /r. The string can support a mass of 25 kg before breaking, i.e. we can let a mass of up to 25 kg hang from the string near the surface of the earth. The maximum tension in the string therefore is F max = mg = (25 kg)(9.8 m/s 2 ) = 245 N.
How do you solve tension?
- Tension can be easily explained in the case of bodies hung from chain, cable, string etc. ...
- T = W ± ma. ...
- Case (iv) If the body moves up or down with uniform speed, tension; T = W. ...
- T=m(g±a) ...
- As tension is a force, its SI unit is newton (N).
What is the formula of tension?
The pulling force that acts along a stretched flexible connector, such as a rope or cable, is called tension, T. When a rope supports the weight of an object that is at rest, the tension in the rope is equal to the weight of the object: T = mg.
What does negative tension mean?
The negative sign indicates that the force is in the opposite direction as in the picture. This means the member is in compression instead of tension.
