A basketball player dribbles a ball with a steady period of T seconds. Is the motion of the ball periodic? Is it simple harmonic motion ? Explain.

Question

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Answer 1

Textbook Question

Chapter 13, Problem 1CQ

A basketball player dribbles a ball with a steady period of T seconds. Is the motion of the ball periodic? Is it simple harmonic motion? Explain.

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

Expert Solution & Answer

To determine

Whether the motion of the ball is periodic or not and whether the motion is simple harmonic or not.

Answer to Problem 1CQ

The motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

Explanation of Solution

The motion is periodic when the motion is repeated in the equal intervals of time.

A basketball player when dribbles a ball with steady period then the ball follows the same repeated path after the equal time interval. This shows the motion is periodic motion.

Thus, the motion of the ball is a periodic motion.

The periodic motion is a simple harmonic motion when the motion is about a fixed mean position and the retarding force is proportional to the displacement from the mean position. The simple harmonic motion shows a periodic motion but every periodic motion is not simple harmonic motion.

A basket ball player when dribbles the ball, the velocity through which the ball dribbles and the position do not vary in sinusoidal manner with time due to which the motion is not simple harmonic motion.

Thus, the motion is not simple harmonic motion.

Conclusion:

Therefore, the motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

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Please draw a sketch and a FBD

Answer 2

Textbook Question

Chapter 13, Problem 1CQ

A basketball player dribbles a ball with a steady period of T seconds. Is the motion of the ball periodic? Is it simple harmonic motion? Explain.

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

Expert Solution & Answer

To determine

Whether the motion of the ball is periodic or not and whether the motion is simple harmonic or not.

Answer to Problem 1CQ

The motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

Explanation of Solution

The motion is periodic when the motion is repeated in the equal intervals of time.

A basketball player when dribbles a ball with steady period then the ball follows the same repeated path after the equal time interval. This shows the motion is periodic motion.

Thus, the motion of the ball is a periodic motion.

The periodic motion is a simple harmonic motion when the motion is about a fixed mean position and the retarding force is proportional to the displacement from the mean position. The simple harmonic motion shows a periodic motion but every periodic motion is not simple harmonic motion.

A basket ball player when dribbles the ball, the velocity through which the ball dribbles and the position do not vary in sinusoidal manner with time due to which the motion is not simple harmonic motion.

Thus, the motion is not simple harmonic motion.

Conclusion:

Therefore, the motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

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Answer 3

Textbook Question

Chapter 13, Problem 1CQ

A basketball player dribbles a ball with a steady period of T seconds. Is the motion of the ball periodic? Is it simple harmonic motion? Explain.

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

Expert Solution & Answer

To determine

Whether the motion of the ball is periodic or not and whether the motion is simple harmonic or not.

Answer to Problem 1CQ

The motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

Explanation of Solution

The motion is periodic when the motion is repeated in the equal intervals of time.

A basketball player when dribbles a ball with steady period then the ball follows the same repeated path after the equal time interval. This shows the motion is periodic motion.

Thus, the motion of the ball is a periodic motion.

The periodic motion is a simple harmonic motion when the motion is about a fixed mean position and the retarding force is proportional to the displacement from the mean position. The simple harmonic motion shows a periodic motion but every periodic motion is not simple harmonic motion.

A basket ball player when dribbles the ball, the velocity through which the ball dribbles and the position do not vary in sinusoidal manner with time due to which the motion is not simple harmonic motion.

Thus, the motion is not simple harmonic motion.

Conclusion:

Therefore, the motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

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Answer 4

Textbook Question

Chapter 13, Problem 1CQ

A basketball player dribbles a ball with a steady period of T seconds. Is the motion of the ball periodic? Is it simple harmonic motion? Explain.

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

Expert Solution & Answer

To determine

Whether the motion of the ball is periodic or not and whether the motion is simple harmonic or not.

Answer to Problem 1CQ

The motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

Explanation of Solution

The motion is periodic when the motion is repeated in the equal intervals of time.

A basketball player when dribbles a ball with steady period then the ball follows the same repeated path after the equal time interval. This shows the motion is periodic motion.

Thus, the motion of the ball is a periodic motion.

The periodic motion is a simple harmonic motion when the motion is about a fixed mean position and the retarding force is proportional to the displacement from the mean position. The simple harmonic motion shows a periodic motion but every periodic motion is not simple harmonic motion.

A basket ball player when dribbles the ball, the velocity through which the ball dribbles and the position do not vary in sinusoidal manner with time due to which the motion is not simple harmonic motion.

Thus, the motion is not simple harmonic motion.

Conclusion:

Therefore, the motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Whether the motion of the ball is periodic or not and whether the motion is simple harmonic or not.

Answer to Problem 1CQ

The motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

Explanation of Solution

The motion is periodic when the motion is repeated in the equal intervals of time.

A basketball player when dribbles a ball with steady period then the ball follows the same repeated path after the equal time interval. This shows the motion is periodic motion.

Thus, the motion of the ball is a periodic motion.

The periodic motion is a simple harmonic motion when the motion is about a fixed mean position and the retarding force is proportional to the displacement from the mean position. The simple harmonic motion shows a periodic motion but every periodic motion is not simple harmonic motion.

A basket ball player when dribbles the ball, the velocity through which the ball dribbles and the position do not vary in sinusoidal manner with time due to which the motion is not simple harmonic motion.

Thus, the motion is not simple harmonic motion.

Conclusion:

Therefore, the motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

Answer 8

Expert Solution & Answer

To determine

Whether the motion of the ball is periodic or not and whether the motion is simple harmonic or not.

Answer to Problem 1CQ

The motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

Explanation of Solution

The motion is periodic when the motion is repeated in the equal intervals of time.

A basketball player when dribbles a ball with steady period then the ball follows the same repeated path after the equal time interval. This shows the motion is periodic motion.

Thus, the motion of the ball is a periodic motion.

The periodic motion is a simple harmonic motion when the motion is about a fixed mean position and the retarding force is proportional to the displacement from the mean position. The simple harmonic motion shows a periodic motion but every periodic motion is not simple harmonic motion.

A basket ball player when dribbles the ball, the velocity through which the ball dribbles and the position do not vary in sinusoidal manner with time due to which the motion is not simple harmonic motion.

Thus, the motion is not simple harmonic motion.

Conclusion:

Therefore, the motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Whether the motion of the ball is periodic or not and whether the motion is simple harmonic or not.

Answer 12

Answer to Problem 1CQ

The motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.

Answer 13

Explanation of Solution

The motion is periodic when the motion is repeated in the equal intervals of time.

A basketball player when dribbles a ball with steady period then the ball follows the same repeated path after the equal time interval. This shows the motion is periodic motion.

Thus, the motion of the ball is a periodic motion.

The periodic motion is a simple harmonic motion when the motion is about a fixed mean position and the retarding force is proportional to the displacement from the mean position. The simple harmonic motion shows a periodic motion but every periodic motion is not simple harmonic motion.

A basket ball player when dribbles the ball, the velocity through which the ball dribbles and the position do not vary in sinusoidal manner with time due to which the motion is not simple harmonic motion.

Thus, the motion is not simple harmonic motion.

Conclusion:

Therefore, the motion of the ball is periodic due to the repetition in motion after certain time interval. The position and the velocity through which ball dribbles do not varies in a sinusoidal manner due to which the motion is not simple harmonic.