What Is Static Equilibrium? Problems 1–3 are grouped. 1. C A ball is attached to a strong, lightweight rod (Fig. P14.1). The rod is supported by a horizontal pin near the top. The ball is at rest. Is the ball in static equilibrium? If not, why not? If so, which type of equilibrium is it—stable, unstable, or neutral? Hint : What would happen if you displaced the ball slightly? FIGURE P14.1

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 14, Problem 1PQ

What Is Static Equilibrium?

Problems 1–3 are grouped.

1. C A ball is attached to a strong, lightweight rod (Fig. P14.1). The rod is supported by a horizontal pin near the top. The ball is at rest. Is the ball in static equilibrium? If not, why not? If so, which type of equilibrium is it—stable, unstable, or neutral? Hint: What would happen if you displaced the ball slightly?

Chapter 14, Problem 1PQ, What Is Static Equilibrium? Problems 13 are grouped. 1. C A ball is attached to a strong,

FIGURE P14.1

Expert Solution & Answer

To determine

Whether the ball is in static equilibrium and if so the type of equilibrium in which the ball is present.

Answer to Problem 1PQ

The ball is in static equilibrium and it is stable equilibrium.

Explanation of Solution

Equilibrium is a special case of motion in which an object’s translational momentum and angular momentum are both constant. Static equilibrium is a special case in which the object’s translational momentum and angular momentum are zero. This also implies that for an object to be in static equilibrium, the total force and the total torque acting on the object must be zero. There are three types of static equilibrium namely stable static equilibrium, unstable static equilibrium and neutral static equilibrium. If an object returns to its equilibrium position after being released, it will be in stable equilibrium. If an object moves farther away from the equilibrium position after being released, it will be in unstable equilibrium. If an object is moved and released from a new position and does not move toward or away from its equilibrium position, then the object is in neutral equilibrium.

It is given that the ball in the figure is at rest so that it has no acceleration. This implies the net force and the torque acting on the ball are zero and the ball must be in static equilibrium. If the ball is displaced slightly, it will return to or pass through the equilibrium position. According to the definition, it is stable equilibrium.

Conclusion:

Thus, the ball is in stable static equilibrium since the net force and the torque acting on it is zero and it returns to its equilibrium position when it is displaced slightly.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Portfolio Problem 4. Consider two identical springs, each with natural length and spring constant k, attached to a horizontal frame at distance 2l apart. Their free ends are attached to the same particle of mass m, which is hanging under gravity. Let z denote the vertical displacement of the particle from the hori- zontal frame, so that z < 0 when the particle is below the frame, as shown in the figure. The particle has zero horizontal velocity, so that the motion is one dimensional along z. 000000 0 eeeeee (a) Show that the total force acting on the particle is X F-mg k-2kz 1 (1. l k. (b) Find the potential energy U(x, y, z) of the system such that U x = : 0. = O when (c) The particle is pulled down until the springs are each of length 3l, and then released. Find the velocity of the particle when it crosses z = 0.

In the figure below, a semicircular conductor of radius R = 0.260 m is rotated about the axis AC at a constant rate of 130 rev/min. A uniform magnetic field of magnitude 1.22 T fills the entire region below the axis and is directed out of the page. R Pout (a) Calculate the maximum value of the emf induced between the ends of the conductor. 1.77 v (b) What is the value of the average induced emf for each complete rotation? 0 v (c) How would your answers to parts (a) and (b) change if the magnetic field were allowed to extend a distance R above the axis of rotation? (Select all that apply.) The value in part (a) would increase. The value in part (a) would remain the same. The value in part (a) would decrease. The value in part (b) would increase. The value in part (b) would remain the same. The value in part (b) would decrease. × (d) Sketch the emf versus time when the field is as drawn in the figure. Choose File No file chosen This answer has not been graded yet. (e) Sketch the emf…

Portfolio Problem 2. A particle of mass m slides in a straight line (say along i) on a surface, with initial position x ©0 and initial velocity Vo > 0 at t = 0. The = particle is subject to a constant force F = -mai, with a > 0. While sliding on the surface, the particle is also subject to a friction force v Ff = -m fo = −m fov, with fo > 0, i.e., the friction force has constant magnitude mfo and is always opposed to the motion. We also assume fo 0, and solve it to find v(t) and x(t). How long does it take for the particle to come to a stop? How far does it travel? (b) After coming to a stop, the particle starts sliding backwards with negative velocity. Write the equation of motion in this case, and solve it to find the time at which the particle returns to the original position, x = 0. Show that the final speed at x 0 is smaller than Vo. = Express all your answers in terms of a, fo and Vo.

Answer 2

Textbook Question

Chapter 14, Problem 1PQ

What Is Static Equilibrium?

Problems 1–3 are grouped.

1. C A ball is attached to a strong, lightweight rod (Fig. P14.1). The rod is supported by a horizontal pin near the top. The ball is at rest. Is the ball in static equilibrium? If not, why not? If so, which type of equilibrium is it—stable, unstable, or neutral? Hint: What would happen if you displaced the ball slightly?

Chapter 14, Problem 1PQ, What Is Static Equilibrium? Problems 13 are grouped. 1. C A ball is attached to a strong,

FIGURE P14.1

Expert Solution & Answer

To determine

Whether the ball is in static equilibrium and if so the type of equilibrium in which the ball is present.

Answer to Problem 1PQ

The ball is in static equilibrium and it is stable equilibrium.

Explanation of Solution

Equilibrium is a special case of motion in which an object’s translational momentum and angular momentum are both constant. Static equilibrium is a special case in which the object’s translational momentum and angular momentum are zero. This also implies that for an object to be in static equilibrium, the total force and the total torque acting on the object must be zero. There are three types of static equilibrium namely stable static equilibrium, unstable static equilibrium and neutral static equilibrium. If an object returns to its equilibrium position after being released, it will be in stable equilibrium. If an object moves farther away from the equilibrium position after being released, it will be in unstable equilibrium. If an object is moved and released from a new position and does not move toward or away from its equilibrium position, then the object is in neutral equilibrium.

It is given that the ball in the figure is at rest so that it has no acceleration. This implies the net force and the torque acting on the ball are zero and the ball must be in static equilibrium. If the ball is displaced slightly, it will return to or pass through the equilibrium position. According to the definition, it is stable equilibrium.

Conclusion:

Thus, the ball is in stable static equilibrium since the net force and the torque acting on it is zero and it returns to its equilibrium position when it is displaced slightly.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 14, Problem 1PQ

What Is Static Equilibrium?

Problems 1–3 are grouped.

1. C A ball is attached to a strong, lightweight rod (Fig. P14.1). The rod is supported by a horizontal pin near the top. The ball is at rest. Is the ball in static equilibrium? If not, why not? If so, which type of equilibrium is it—stable, unstable, or neutral? Hint: What would happen if you displaced the ball slightly?

Chapter 14, Problem 1PQ, What Is Static Equilibrium? Problems 13 are grouped. 1. C A ball is attached to a strong,

FIGURE P14.1

Expert Solution & Answer

To determine

Whether the ball is in static equilibrium and if so the type of equilibrium in which the ball is present.

Answer to Problem 1PQ

The ball is in static equilibrium and it is stable equilibrium.

Explanation of Solution

Equilibrium is a special case of motion in which an object’s translational momentum and angular momentum are both constant. Static equilibrium is a special case in which the object’s translational momentum and angular momentum are zero. This also implies that for an object to be in static equilibrium, the total force and the total torque acting on the object must be zero. There are three types of static equilibrium namely stable static equilibrium, unstable static equilibrium and neutral static equilibrium. If an object returns to its equilibrium position after being released, it will be in stable equilibrium. If an object moves farther away from the equilibrium position after being released, it will be in unstable equilibrium. If an object is moved and released from a new position and does not move toward or away from its equilibrium position, then the object is in neutral equilibrium.

It is given that the ball in the figure is at rest so that it has no acceleration. This implies the net force and the torque acting on the ball are zero and the ball must be in static equilibrium. If the ball is displaced slightly, it will return to or pass through the equilibrium position. According to the definition, it is stable equilibrium.

Conclusion:

Thus, the ball is in stable static equilibrium since the net force and the torque acting on it is zero and it returns to its equilibrium position when it is displaced slightly.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 14, Problem 1PQ

What Is Static Equilibrium?

Problems 1–3 are grouped.

1. C A ball is attached to a strong, lightweight rod (Fig. P14.1). The rod is supported by a horizontal pin near the top. The ball is at rest. Is the ball in static equilibrium? If not, why not? If so, which type of equilibrium is it—stable, unstable, or neutral? Hint: What would happen if you displaced the ball slightly?

Chapter 14, Problem 1PQ, What Is Static Equilibrium? Problems 13 are grouped. 1. C A ball is attached to a strong,

FIGURE P14.1

Expert Solution & Answer

To determine

Whether the ball is in static equilibrium and if so the type of equilibrium in which the ball is present.

Answer to Problem 1PQ

The ball is in static equilibrium and it is stable equilibrium.

Explanation of Solution

Equilibrium is a special case of motion in which an object’s translational momentum and angular momentum are both constant. Static equilibrium is a special case in which the object’s translational momentum and angular momentum are zero. This also implies that for an object to be in static equilibrium, the total force and the total torque acting on the object must be zero. There are three types of static equilibrium namely stable static equilibrium, unstable static equilibrium and neutral static equilibrium. If an object returns to its equilibrium position after being released, it will be in stable equilibrium. If an object moves farther away from the equilibrium position after being released, it will be in unstable equilibrium. If an object is moved and released from a new position and does not move toward or away from its equilibrium position, then the object is in neutral equilibrium.

It is given that the ball in the figure is at rest so that it has no acceleration. This implies the net force and the torque acting on the ball are zero and the ball must be in static equilibrium. If the ball is displaced slightly, it will return to or pass through the equilibrium position. According to the definition, it is stable equilibrium.

Conclusion:

Thus, the ball is in stable static equilibrium since the net force and the torque acting on it is zero and it returns to its equilibrium position when it is displaced slightly.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Whether the ball is in static equilibrium and if so the type of equilibrium in which the ball is present.

Answer to Problem 1PQ

The ball is in static equilibrium and it is stable equilibrium.

Explanation of Solution

Equilibrium is a special case of motion in which an object’s translational momentum and angular momentum are both constant. Static equilibrium is a special case in which the object’s translational momentum and angular momentum are zero. This also implies that for an object to be in static equilibrium, the total force and the total torque acting on the object must be zero. There are three types of static equilibrium namely stable static equilibrium, unstable static equilibrium and neutral static equilibrium. If an object returns to its equilibrium position after being released, it will be in stable equilibrium. If an object moves farther away from the equilibrium position after being released, it will be in unstable equilibrium. If an object is moved and released from a new position and does not move toward or away from its equilibrium position, then the object is in neutral equilibrium.

It is given that the ball in the figure is at rest so that it has no acceleration. This implies the net force and the torque acting on the ball are zero and the ball must be in static equilibrium. If the ball is displaced slightly, it will return to or pass through the equilibrium position. According to the definition, it is stable equilibrium.

Conclusion:

Thus, the ball is in stable static equilibrium since the net force and the torque acting on it is zero and it returns to its equilibrium position when it is displaced slightly.

Answer 8

Expert Solution & Answer

To determine

Whether the ball is in static equilibrium and if so the type of equilibrium in which the ball is present.

Answer to Problem 1PQ

The ball is in static equilibrium and it is stable equilibrium.

Explanation of Solution

Equilibrium is a special case of motion in which an object’s translational momentum and angular momentum are both constant. Static equilibrium is a special case in which the object’s translational momentum and angular momentum are zero. This also implies that for an object to be in static equilibrium, the total force and the total torque acting on the object must be zero. There are three types of static equilibrium namely stable static equilibrium, unstable static equilibrium and neutral static equilibrium. If an object returns to its equilibrium position after being released, it will be in stable equilibrium. If an object moves farther away from the equilibrium position after being released, it will be in unstable equilibrium. If an object is moved and released from a new position and does not move toward or away from its equilibrium position, then the object is in neutral equilibrium.

It is given that the ball in the figure is at rest so that it has no acceleration. This implies the net force and the torque acting on the ball are zero and the ball must be in static equilibrium. If the ball is displaced slightly, it will return to or pass through the equilibrium position. According to the definition, it is stable equilibrium.

Conclusion:

Thus, the ball is in stable static equilibrium since the net force and the torque acting on it is zero and it returns to its equilibrium position when it is displaced slightly.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Whether the ball is in static equilibrium and if so the type of equilibrium in which the ball is present.

Answer 12

Answer to Problem 1PQ

The ball is in static equilibrium and it is stable equilibrium.

Answer 13

Explanation of Solution

Equilibrium is a special case of motion in which an object’s translational momentum and angular momentum are both constant. Static equilibrium is a special case in which the object’s translational momentum and angular momentum are zero. This also implies that for an object to be in static equilibrium, the total force and the total torque acting on the object must be zero. There are three types of static equilibrium namely stable static equilibrium, unstable static equilibrium and neutral static equilibrium. If an object returns to its equilibrium position after being released, it will be in stable equilibrium. If an object moves farther away from the equilibrium position after being released, it will be in unstable equilibrium. If an object is moved and released from a new position and does not move toward or away from its equilibrium position, then the object is in neutral equilibrium.

It is given that the ball in the figure is at rest so that it has no acceleration. This implies the net force and the torque acting on the ball are zero and the ball must be in static equilibrium. If the ball is displaced slightly, it will return to or pass through the equilibrium position. According to the definition, it is stable equilibrium.

Conclusion:

Thus, the ball is in stable static equilibrium since the net force and the torque acting on it is zero and it returns to its equilibrium position when it is displaced slightly.

Answer 14

Ch. 14.1 - A rubber duck floats in a bathtub. Imagine moving...Ch. 14.1 - Prob. 14.2CE Ch. 14.2 - CASE STUDY Hanging a Plane from a Single Point In...Ch. 14.2 - Prob. 14.4CE Ch. 14.4 - Imagine two vertical rods initially of equal...Ch. 14 - What Is Static Equilibrium? Problems 13 are...Ch. 14 - Prob. 2PQ Ch. 14 - Two identical balls are attached to a...Ch. 14 - While working on homework together, your friend...Ch. 14 - Consider the sketch of a portion of a...

Concept explainers

Videos

Answer to Problem 1PQ

Explanation of Solution

Want to see more full solutions like this?

Chapter 14 Solutions