A mass of 0.48 kg is attached to a spring and set into oscillation on a horizont

Question

A mass of 0.48 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by

x(t) = (0.28 m)cos[(10 rad/s)t].

Determine the following.

(a) amplitude of oscillation for the oscillating mass
__________ m

(b) force constant for the spring
__________ N/m

(c) position of the mass after it has been oscillating for one half a period
__________ m

(d) position of the mass one-third of a period after it has been released
__________ m

(e) time it takes the mass to get to the position

x = ?0.10 m

after it has been released
_____________ s

Explanation / Answer

In general, x(t) = A cos(?t - ?), where A is the amplitude, ? is the angular frequency, and ? is some phase shift.

(a)
0.50 m

(b)
For the spring-mass system,
?

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.