What is the force exerted by the pivot on the stick?

Thread starter hidemi
Start date Mar 11, 2021
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Force Pivot

In summary, a pivot is a fixed point that can change the direction or magnitude of force exerted on an object. The force exerted by a pivot is influenced by the distance of the pivot from the object, the angle of application of the force, and the object's mass and shape. This force can be calculated using the formula F = r x Fsinθ, where F is the applied force, r is the distance from the pivot to the point of application, and θ is the angle between the applied force and the line of action of the pivot. The force exerted by the pivot is directly proportional to the lever arm, which is the perpendicular distance from the pivot to the line of action of the applied force. The longer

Mar 11, 2021

hidemi

Homework Statement: A massless meter stick on a horizontal frictionless table top is pivoted at the 80-cm mark. A force F1 is applied perpendicularly to the end of the stick at 0 cm. A second force F2 (not shown) is applied perpendicularly at the 60-cm mark. The forces are in the plane of the table top. If the stick does not move, the force exerted by the pivot on the stick:

A) must be zero
B) must be in the same direction as F1 and have magnitude |F2| - |F1|
C) must be directed opposite to F1 and have magnitude| F2| -|F1|
D) must be in the same direction as F1 and have magnitude |F2| + |F1|
E) must be directed opposite to F1 and have magnitude |F2| + |F1|

The answer is B.

Relevant Equations: τ ＝rF

If exerted a force at 60 cm, should the force F2 be the opposite direction of F1? Thanks!

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Mar 11, 2021

Doc Al

Mentor

hidemi said:

If exerted a force at 60 cm, should the force F2 be the opposite direction of F1?

If both F1 and F2 were in the same direction, could the stick remain at rest? (Consider moments about the pivot.)

Mar 11, 2021

hidemi

Thanks for your hint. I got it.

What is the force exerted by the pivot on the stick?

The force exerted by the pivot on the stick is known as the pivot force. It is the force that the pivot exerts on the stick in order to keep it in rotational equilibrium.

How is the force exerted by the pivot on the stick calculated?

The force exerted by the pivot on the stick can be calculated using the principle of moments. This involves taking the sum of all the clockwise moments and the sum of all the counterclockwise moments and setting them equal to each other.

What factors affect the force exerted by the pivot on the stick?

The force exerted by the pivot on the stick can be affected by several factors, such as the distance between the pivot and the point where the force is applied, the weight and length of the stick, and the angle at which the force is applied.

What is the relationship between the force exerted by the pivot on the stick and the weight of the stick?

The force exerted by the pivot on the stick is directly proportional to the weight of the stick. This means that as the weight of the stick increases, the force exerted by the pivot also increases.

Can the force exerted by the pivot on the stick be greater than the weight of the stick?

Yes, the force exerted by the pivot on the stick can be greater than the weight of the stick. This can happen when the distance between the pivot and the point where the force is applied is shorter, or when the angle at which the force is applied is greater.