Exercise No 17: A block of mass m = 1.5 kg is attached to the end of a vertical spring of force constant k = 300 N/m. After the block comes to rest, it is pulled down a distance of 2 cm and released. (a) How far does the weight of the block cause the spring to stretch initially? (b) What are the minimum and maximum amounts of stretch of the spring during the oscillations of the block? (c) At what point(s) will the speed of the block be zero? (d) At what point(s) will the acceleration of the block be zero?

Exercise No 17: A block of mass m = 1.5 kg is attached to the end of a vertical spring of force constant k = 300 N/m. After the block comes to rest, it is pulled down a distance of 2 cm and released. (a) How far does the weight of the block cause the spring to stretch initially? (b) What are the minimum and maximum amounts of stretch of the spring during the oscillations of the block? (c) At what point(s) will the speed of the block be zero? (d) At what point(s) will the acceleration of the block be zero?

Name: Exercise No 17: A block of mass m = 1.5 kg is attached to the end of
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Description: Exercise No 17: A block of mass m = 1.5 kg is attached to the end of a vertical spring of force constant k =300 N/m. After the block comes to rest, it is pulled down a distance of 2 cm and released. (a) How far does theweight of the block cause the

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 17P: A block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes...

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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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Exercise No 17: A block of mass m = 1.5 kg is attached to the end of a vertical spring of force constant k =
300 N/m. After the block comes to rest, it is pulled down a distance of 2 cm and released. (a) How far does the
weight of the block cause the spring to stretch initially? (b) What are the minimum and maximum amounts of
stretch of the spring during the oscillations of the block? (c) At what point(s) will the speed of the block be zero?
(d) At what point(s) will the acceleration of the block be zero?

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