Question

K 2 of 8 Constants Part A An object with mass 3.1 kg is executing simple harmonic motion, attached to a spring with spring constant 330 N/m. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.65 m/s Calculate the amplitude of the motion. Expregs your answer to two significant figures and include the appropriate units. AValue Units Submit Part B Calculate the maximum speed attained by the object. Express your answer to two significant figures and include the appropriate units IA nValue Units

Answer 1

a) angular frequency is given as

$\omega =\sqrt{\frac{k}{m}}=\sqrt{\frac{330}{3.1}}=10.32rad/s$

Now, speed at any position is

$v=\omega \sqrt{A^{2}-x^{2}}$

$\Rightarrow 0.65=10.32\sqrt{A^{2}-0.020^{2}}$

$\Rightarrow A=0.066m$

b) Maximum speed is

$v_{max}=\omega A$

$\Rightarrow v_{max}=10.32*0.066=0.68m/s$