A toy is undergoing SHM on the end of a horizontal . When the toy is 0.120 m from its equilibrium position, it is observed to have a speed of 3 m/s and a total energy of 3.6 J. The total energy is constant, which means not only at the special points (maximum displacement from equilibrum and at equilibrum), but at any position and speed, thus, spring with force constant 305.0 N/m .2 E = kA² = mvnaz,= mv? +ka

A toy is undergoing SHM on the end of a horizontal . When the toy is 0.120 m from its equilibrium position, it is observed to have a speed of 3 m/s and a total energy of 3.6 J. The total energy is constant, which means not only at the special points (maximum displacement from equilibrum and at equilibrum), but at any position and speed, thus, spring with force constant 305.0 N/m .2 E = kA² = mvnaz,= mv? +ka

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Description: Find the mass of the toy. find the amplitude of the motion. find the maximum speed attained by the object during its motion. A toy is undergoing SHM on the end of a horizontalspring with force constant 305.0 N/m. When the toy is0.120m from its equili

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 53P

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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.

Topic Video

Question

Find the mass of the toy.

find the amplitude of the motion.

find the maximum speed attained by the object during its motion.

A toy is undergoing SHM on the end of a horizontal
spring with force constant 305.0 N/m. When the toy is
0.120m from its equilibrium position, it is observed to
have a speed of 3 m/s and a total energy of 3.6 J The
total energy is constant, which means not only at the
special points (maximum displacement from equilibrum.
and at equilibrum), but at any position and speed, thus,
E = kA² = mvmaz z = mv + ka?
mar.z
For related problem-solving tips and strategles, you may
want to view a Video Tutor Solution of Simple harmonic
motion on an air track, 1 Physical properties.

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