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PhysicsQ&A LibraryA mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. The position of the mass at any time is described by x = (6.4 cm)cos[2πt/(1.28 s)]. Determine the following.(a) period of the motion s(b) frequency of the oscillations Hz(c) first time the mass is at the position x = 0 s(d) first time the mass is at the site of maximum compression of the spring sQuestion

Asked Apr 2, 2019

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A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. The position of the mass at any time is described by

x = (6.4 cm)cos[2πt/(1.28 s)].

Determine the following.

(a) period of the motion

s

(b) frequency of the oscillations

Hz

(c) first time the mass is at the position

s

(d) first time the mass is at the site of maximum compression of the spring

s

s

(b) frequency of the oscillations

Hz

(c) first time the mass is at the position

x = 0

s

(d) first time the mass is at the site of maximum compression of the spring

s

Step 1

(a)

Equation for simple harmonic motion is,

Step 2

Comparing the given equation with the above expression, *T* = 1.28 s.

Step 3

(b)

Frequency ...

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