For part b.) the amplitude claculated is 0.15 m. I have no idea how E = 231.275,

Question

For part b.) the amplitude claculated is 0.15 m. I have no idea how E = 231.275, because I am getting a different number. By the way this is the Key, which makes it even more confusing. Can someone confirm if this may be an error, or am I missing a step here?

3. A2.0 kg block hangs from a spring with spring constant 3000 N/m. The block is pulled down 1.0 cm from the equilibrium position and given an initial velocity of 1.50 m/s back toward equilibrium. a. What is frequency of the motion in Hz? b. What is the amplitude of the motion? c. What is the phase constant in radians? 6, 2. answers: a. frequency O (S b. amplitude l, s rad c. phase constant

Explanation / Answer

here,

3)

mass , m = 2 kg

spring constant , K = 3000 N/m

x1 = 0.01 m and v1 = 1.5 m/s

a)

the frequency , f = 1/2pi * sqrt(k/m)

f = 1/2pi * sqrt(3000/2)

f = 6.17 Hz

b)

let the amplitude be A

using conservation of energy

0.5 * k * A^2 = 0.5 * m * v1^2 + 0.5 * k * x1^2

3000 * A^2 = 2 * 1.5^2 + 3000 * 0.01^2

A = 0.04 m

c)

phase constant = 1.5 rad

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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