# 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 x = 0 s(d) first time the mass is at the site of maximum compression of the spring s

Question
712 views

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
x = 0

s

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

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 ...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in