1. A mass oscillates at a frequency of 4 Hz and an amplitude of 7 cm. What is it
ID: 1322605 • Letter: 1
Question
1. A mass oscillates at a frequency of 4 Hz and an amplitude of 7 cm. What is its position at time t = 0 and time t = 2.67 s?
2. A 4 kg object is attached to a spring and released into SHM. If the spring oscillates with a frequency of 5 Hz and has an amplitude of 7 cm, what are the position, velocity, and acceleration after 2.22 seconds?
3. A toy ball swings in a horiztonal circle 2.6 meters in diameter making 20 revolutions in 1.9 minutes. The shadow of the ball is projected to the wall by a distant light. What are the amplitude, frequency and period for the shadows motion?
4. A body makes 3 complete oscillations in 3 seconds. What is its acceleration when it is displaced a distance of x = +2 cm from its equilibrium position?
5. An object vibrates with a frequency of 4.6 Hz and an amplitude of 5 cm. What is the maximum negative velocity and what is the objects position when the velocity = 0?
Explanation / Answer
1) Freq = 4Hz so ang. freq. = 25.13 and Amplitude = 7cm = .07m
Position (t =2.67) = Amplitude x sin (angular frequency x time) = -0.063 m
2)Freq = 5Hz so ang. freq. = 31.41 and Amplitude = 7cm = .07m
Position (t =2.22) = Amplitude x sin (angular frequency x time) =0.0411 m
Velocity = .0185 and Acc = 0.00833
(Multiple questions)
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