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Homework Statement
A mass on a spring has an angular oscillation frequency of 2.56 rad/s. The spring constant is 27.2 N/m, and the system's kinetic energy is 4.16 J when t = 1.56 s. What is the oscillation amplitude? Assume that the mass is at its equilibrium position when t = 0.a. 63.1 cm
b. 47.7 cm
c. 73.4 cm
d. 55.3 cm
e. 84.0 cm
Homework Equations
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The Attempt at a Solution
w^2=k/m => m= 27.2/6.5536 = 4.15kg mg= - kx => x=1.497
K=(1/2)mv^2 => v=1.416 m/s
x= Acos(2.56t + φ)
v(1.56) = 1.416 = -2.56Asin(3.994+φ)