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OR Sheel Homework #1 Due beforeclass Tuesday Jan 8 A mass of 1.0 kg attached to a string oscillates with a frequency of 2.0 Hz and an amplitude of 22.0 cm. 1. Where is the mass at t-0.08s and t-0.15s 2. When is the mass at x--0.12 m? Strategy: Identify equation and identify constants 1. Substitute time into equation 2. Substitute x into equation, solve for t using inverse cosine
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Answer #1

equation is given as

x = Acos(wt)

where w = 2*pi*f = 2*pi*2 = 12.566 rad/sec

so,

x = 22cos (12.566t)

Now, put the given time

at t = 0.08 s

x = 22 cos (12.566*0.08)

x = 11.788 cm

at t = 0.15 s

x = 22 cos (12.566*0.15)

x = -6.7972 cm

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