5. A block is attached to a horizontal spring. Find a model for the displacement as a function of time given the following conditions:a. At time \( t = 0 \), the block is pulled to the left 6 cm with a frequency of 2 Hz.b. At time \( t = 0 \), the initial displacement is 0 inches (moving to the right), the amplitude is 15 centimeters, and the period is 1 sec.**Diagram Description:**The diagram depicts a spring-mass system. A spring is shown attached to a block on a horizontal axis. The axis is marked with a scale from -3 to 3 with the zero position as the equilibrium point. The block seems displaced, extending the spring.

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Description: 5. A block is attached to a horizontal spring. Find a model for the displacement as a function of time given the following conditions:a. At time \( t = 0 \), the block is pulled to the left 6 cm with a frequency of 2 Hz.b. At time \( t = 0 \), the i

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5. A block is attached to a horizontal spring. Find a model for the displacement d as a function of time given the following conditions: a. At time t = 0, the block is pulled to the left 6 cm with a frequency of 2 Hz.

5. A block is attached to a horizontal spring. Find a model for the displacement d as a function of time given the following conditions: a. At time t = 0, the block is pulled to the left 6 cm with a frequency of 2 Hz.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

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Question

5. A block is attached to a horizontal spring. Find a model for the displacement as a function of time given the following conditions:

a. At time \( t = 0 \), the block is pulled to the left 6 cm with a frequency of 2 Hz.

b. At time \( t = 0 \), the initial displacement is 0 inches (moving to the right), the amplitude is 15 centimeters, and the period is 1 sec.

**Diagram Description:**

The diagram depicts a spring-mass system. A spring is shown attached to a block on a horizontal axis. The axis is marked with a scale from -3 to 3 with the zero position as the equilibrium point. The block seems displaced, extending the spring.

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