Torque Problem Static equilibrium

In summary, the conversation involves a question about calculating the torque of an applied force about a pivot. The correct formula for calculating torque was provided, but the value for the perpendicular distance was incorrect. The correct distance to use is from the pivot to the application of force.
  • #1
k31453
58
0

Homework Statement


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Homework Equations



How to do this question ??

The Attempt at a Solution



I know sum of torque and force = 0
at fapplied i got torque = 25sin(45) * 3.8m = 67.18N ..

But don't know what to do next !
 
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  • #2
All they asking for is the torque of the applied force about the pivot.

So your formula is correct however your value for the perpendicular distance is incorrect. You need to usethe distance from Fapplied to the pivot.
 
  • #3
ohh crapp i have to use distance from pivot which is 3 right ??
 
  • #4
k31453 said:
ohh crapp i have to use distance from pivot which is 3 right ??

Yes...You need to use distance between the pivot and application of force.
 
  • #5


I would approach this problem by first understanding the concept of torque and static equilibrium. Torque is the measure of the force that can cause an object to rotate around an axis. In static equilibrium, the object is not moving and the sum of all forces acting on it is equal to zero. This means that the object is balanced and there is no net force or torque acting on it.

To solve this problem, we can use the equation for torque: τ = rFsinθ, where τ is the torque, r is the distance from the axis of rotation, F is the force acting on the object, and θ is the angle between the force and the lever arm.

From the given information, we know that the sum of torque must be equal to zero in order for the object to be in static equilibrium. This means that the torque caused by the applied force must be balanced by the torque caused by the weight of the object.

To find the weight of the object, we can use the equation F = mg, where F is the weight, m is the mass of the object, and g is the acceleration due to gravity. Once we have the weight, we can calculate the torque caused by it by multiplying the weight by the distance from the axis of rotation.

Finally, we can set up an equation to solve for the unknown distance from the axis of rotation, as follows:

τapplied + τweight = 0
rFappliedsinθ + rFweightsinθ = 0
rsinθ(Fapplied + Fweight) = 0
r = 0 / sinθ = 0

Therefore, the distance from the axis of rotation must be zero in order for the object to be in static equilibrium. This means that the object must be placed directly on the axis of rotation.

In summary, to solve this torque problem for static equilibrium, we first need to understand the concept of torque and static equilibrium. Then, we can use the equation for torque to set up an equation and solve for the unknown variable.
 

1. What is torque and how is it measured?

Torque is a measure of the force that causes an object to rotate around an axis. It is measured in units of Newton-meters (Nm). Torque is calculated by multiplying the force applied to an object by the distance from the axis of rotation.

2. How do you solve for torque in a static equilibrium problem?

In a static equilibrium problem, the sum of all torques acting on an object must equal zero. To solve for torque, you must first identify all the forces acting on the object and their respective distances from the axis of rotation. Then, use the equation torque = force x distance to calculate the torque of each force. Finally, add all the torques together and set the sum equal to zero to solve for the unknown variable.

3. What is the difference between clockwise and counterclockwise torque?

Clockwise torque is a force that causes an object to rotate in a clockwise direction around an axis, while counterclockwise torque causes an object to rotate in a counterclockwise direction. The direction of torque depends on the direction in which the force is applied relative to the axis of rotation.

4. How does the lever arm affect torque?

The lever arm is the perpendicular distance from the axis of rotation to the line of action of the force. The longer the lever arm, the greater the torque produced by a given force. This means that a force applied farther away from the axis of rotation will have a greater torque compared to the same force applied closer to the axis of rotation.

5. Can torque be negative?

Yes, torque can be negative. Negative torque indicates that the object will rotate in the opposite direction compared to positive torque. This can happen when the forces acting on an object are unbalanced and create a net torque in one direction, causing the object to rotate in that direction.

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