Static equilibrium and torque

In summary, static equilibrium is a state where an object is at rest and all forces acting on it are balanced. This is different from dynamic equilibrium, where the object is moving with balanced forces. Torque is a measure of the turning force on an object and affects static equilibrium by balancing the clockwise and counterclockwise torques. The magnitude of torque is determined by the applied force, distance from the pivot point, and angle between the force and lever arm.
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Zynoakib
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Homework Statement


A 10 000-N shark is supported
by a rope attached to a 4.00-m
rod that can pivot at the base.
Calculate the tension in
the cable between the rod
and the wall, assuming the
cable is holding the system
in the position shown in Figure
P12.49.

image.jpg


Homework Equations

The Attempt at a Solution


(10000N)(4cos60) = (Tcos20)(4sin60)
T = 6144 N

Why is it wrong?
 
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  • #2
You've only taken the horizontal component of the cable. What about the vertical component?
 
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1. What is static equilibrium?

Static equilibrium is a state in which an object is at rest and all forces acting on it are balanced, resulting in zero net force and zero acceleration. In this state, the object will not move or rotate.

2. How is static equilibrium different from dynamic equilibrium?

Static equilibrium refers to a stationary object with balanced forces, while dynamic equilibrium refers to a moving object with balanced forces and constant velocity. In dynamic equilibrium, there may be a non-zero net force, but it is balanced by other forces such as friction or air resistance.

3. What is torque?

Torque is a measure of the turning force on an object. It is the product of the force applied and the distance from the pivot point to the point where the force is applied. Torque is measured in Newton-meters (Nm) in the SI system.

4. How does torque affect static equilibrium?

In order for an object to be in static equilibrium, the sum of all torques acting on the object must be equal to zero. This means that the clockwise and counterclockwise torques must be balanced, resulting in no rotational motion.

5. What factors affect torque?

The magnitude of torque is affected by the magnitude of the applied force, the distance from the pivot point to the point where the force is applied, and the angle between the force and the lever arm. Increasing any of these factors will result in an increase in torque.

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