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A mass attached to the end of spring is stretched a distance from equilibrium and released. At what distance from equilibrium will it have

a) Velocity equal to half its maximum velocity.

b) Acceleration equal to half its maximum acceleration.

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Mohd Talib
Mohd TalibLv10
28 Oct 2020
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A mass m is attached to a spring which is held stretched a distance x by a force F, Fig. 6ā€“45, and then released. The spring pulls the mass to the left, towards its natural equilibrium length. Assuming there is no friction, determine the speed of the mass m when the spring returns: (a) to its normal length (x=0); (b) to half its original extension ( ).

Ā 

A 2.00-kg object is attached to a spring and placed on a frictionless, horizontal surface.Ā A horizontal force of 20.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x-axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. Find

(a) the force constant of the spring,

(b) the frequency of the oscillations, and

(c) the maximum speed of the object.

(d) Where does this maximum speed occur?

(e) Find the maximum acceleration of the object.

(f) Where does the maximum acceleration occur?

(g) Find the total energy of the oscillating system.

Find (h) the speed and (i) the acceleration of the object when its position is equal to one-third the maximum value.

A 2.8 kg object is attached to a horizontal spring of forceconstant k = 4.9 kN/m. The spring is stretched 10 cm fromequilibrium and released.

(a) Find the frequency of the motion.

(b) Find the period.

(c) Find the amplitude.

(d) Find the maximum speed.

(e) Find the maximum acceleration.

(f) When does the object first reach its equilibriumposition?

(g) What is its acceleration at this time?

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