Math / Algebra

QuestionA block hangs on a spring attached to the ceiling and is pulled down 11 in below its equilibrium position. After release, the block makes one complete up-anddown cycle in 1 sec and follows simple harmonic motion.
Part: $0 / 5$
Part 1 of 5 (a) What is the period of motion? $P=$ $\square$ sec

Studdy Solution

STEP 1

1. The block follows simple harmonic motion.
2. The block completes one full cycle in 1 second.

STEP 2

1. Understand the definition of the period in simple harmonic motion.
2. Relate the given information to the definition.
3. Determine the period of motion.

STEP 3

Understand the definition of the period in simple harmonic motion.
The period $P$ is the time it takes for one complete cycle of motion.

STEP 4

Relate the given information to the definition.
We are told that the block makes one complete up-and-down cycle in 1 second.

STEP 5

Determine the period of motion.
Since the block completes one full cycle in 1 second, the period $P$ is:
$P = 1 \text{ sec}$
The period of motion is:
$\boxed{1} \text{ sec}$

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QuestionA block hangs on a spring attached to the ceiling and is pulled down 11 in below its equilibrium position. After release, the block makes one complete up-anddown cycle in 1 sec and follows simple harmonic motion.
Part: $0 / 5$
Part 1 of 5 (a) What is the period of motion? $P=$ $\square$ sec

Studdy Solution

STEP 1

1. The block follows simple harmonic motion.
2. The block completes one full cycle in 1 second.

STEP 2

1. Understand the definition of the period in simple harmonic motion.
2. Relate the given information to the definition.
3. Determine the period of motion.

STEP 3

Understand the definition of the period in simple harmonic motion.
The period $P$ is the time it takes for one complete cycle of motion.

STEP 4

Relate the given information to the definition.
We are told that the block makes one complete up-and-down cycle in 1 second.

STEP 5

Determine the period of motion.
Since the block completes one full cycle in 1 second, the period $P$ is:
$P = 1 \text{ sec}$
The period of motion is:
$\boxed{1} \text{ sec}$

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Studdy Solution

STEP 1

1. The block follows simple harmonic motion.2. The block completes one full cycle in 1 second.

STEP 2

1. Understand the definition of the period in simple harmonic motion.2. Relate the given information to the definition.3. Determine the period of motion.

STEP 3

Understand the definition of the period in simple harmonic motion.The period P P P is the time it takes for one complete cycle of motion.

STEP 4

Relate the given information to the definition.We are told that the block makes one complete up-and-down cycle in 1 second.

STEP 5

Determine the period of motion.Since the block completes one full cycle in 1 second, the period P P P is:P=1 sec P = 1 \text{ sec} P=1 sec The period of motion is:1 sec \boxed{1} \text{ sec} 1​ sec

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Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. The block follows simple harmonic motion.
2. The block completes one full cycle in 1 second.

1. Understand the definition of the period in simple harmonic motion.
2. Relate the given information to the definition.
3. Determine the period of motion.

Understand the definition of the period in simple harmonic motion.
The period $P$ is the time it takes for one complete cycle of motion.

Relate the given information to the definition.
We are told that the block makes one complete up-and-down cycle in 1 second.

Determine the period of motion.
Since the block completes one full cycle in 1 second, the period $P$ is:
$P = 1 \text{ sec}$
The period of motion is:
$\boxed{1} \text{ sec}$