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Chapter 12: Problem 1

Give an example of an object on which the net force is zero, but that isn't in static equilibrium.

Short Answer

Expert verified
An example of an object on which the net force is zero but that isn't in static equilibrium could be an object sliding on a frictionless surface. After an initial force is applied to set it in motion, there are no additional forces acting on it in a frictionless, airless environment. This results in a net force of zero on the object, but it isn't in static equilibrium because it is still moving at a constant velocity.

Step by step solution

01

Understanding static equilibrium and net force being zero

Static equilibrium refers to the state of an object when it's not in motion and also undergoing zero net force. On the other hand, an object can still be moving at a constant velocity and yet have a net force of zero since all the external forces on it balance each other out, resulting in no acceleration.
02

Example of an object with zero net force, not in static equilibrium

An object sliding on a frictionless surface is an example. Though the object may be in motion, the net force acting on it is zero if there's no friction. There are no unbalanced forces to cause acceleration, so the object continues to move at a constant velocity.
03

Expanding the explanation

Assume an initial force was applied to set the object in motion. Once it's sliding, no additional forces are acting on it (assuming a frictionless, airless environment). Hence the net force on the object is zero (no force to speed it up or slow it down), but it's not in static equilibrium (it's still moving).

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Most popular questions from this chapter

A uniform solid cone of height \(h\) and base diameter \(\frac{1}{3} h\) sits on the board of Fig. \(12.27 .\) The coefficient of static friction between the cone and incline is \(0.63 .\) As the slope of the board is increased, will the cone first tip over or first begin sliding? (Hint: Start with an integration to find the center of mass.)

Give an example of an object on which the net torque about the center of gravity is zero, but that isn't in static equilibrium.

A rectangular block measures \(w \times w \times L,\) where \(L\) is the longer dimension. It's on a horizontal surface, resting on its long side. Use geometrical arguments to find an expression for the angle through you would have to tilt it in order to put it in an unstable equilibrium, resting on a short edge.

A uniform, solid cube of mass \(m\) and side \(s\) is in stable equilibrium when sitting on a level tabletop. How much energy is required to bring it to an unstable equilibrium where it's resting on its corner?

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