- #1
Magma828
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A mass is suspended by a spring. The mass is pulled down and released at t=0. The equation for its displacement x in m from the equilibrium position is x = 0.050 cos(πt).
π = pi = 3.14159 for clarification (because it looks like an n for some reason)
(a) What is (i) the amplitude, (ii) the frequency and (iii) the period of the oscillation?
(b) What is (i) the displacement and (ii) the acceleration of the mass at t = 0.50s, 0.75s, 1.5s, 1.8s?
(c) What is the velocity of the mass at t = 0.50s, 1.0s?
You may also need x = A cos(2πft) where x = displacement, A = amplitude, f = frequency and t = time period.
I'm not asking for someone to do the entire question, I'm just stuck with certain parts and I'd be able to do the rest if I knew how to do earlier bits. I've posted the entire question for clarity.
The answer to part (a)(i) is 0.05m which I THINK is given by x = A = 0.050 cos(π0). I cannot find the frequency in (a)(ii), and posting all the crazy workings I've tried would probably confuse you. The period in (a)(iii) would simply be t=1/f.
I also cannot do any of part (b)(i) where it wants the displacement of the mass after time t. I have not yet attempted (b)(ii) and (c) because I probably need previously worked out data.
π = pi = 3.14159 for clarification (because it looks like an n for some reason)
(a) What is (i) the amplitude, (ii) the frequency and (iii) the period of the oscillation?
(b) What is (i) the displacement and (ii) the acceleration of the mass at t = 0.50s, 0.75s, 1.5s, 1.8s?
(c) What is the velocity of the mass at t = 0.50s, 1.0s?
You may also need x = A cos(2πft) where x = displacement, A = amplitude, f = frequency and t = time period.
I'm not asking for someone to do the entire question, I'm just stuck with certain parts and I'd be able to do the rest if I knew how to do earlier bits. I've posted the entire question for clarity.
The answer to part (a)(i) is 0.05m which I THINK is given by x = A = 0.050 cos(π0). I cannot find the frequency in (a)(ii), and posting all the crazy workings I've tried would probably confuse you. The period in (a)(iii) would simply be t=1/f.
I also cannot do any of part (b)(i) where it wants the displacement of the mass after time t. I have not yet attempted (b)(ii) and (c) because I probably need previously worked out data.