A 1.30-kg mass on a spring has displacement as a function of time given by the e
ID: 1382705 • Letter: A
Question
A 1.30-kg mass on a spring has displacement as a function of time given by the equation x(t) = (7.65 cm) cos[(4.26 s?1)t ? 2.40] (a) Find the time for one complete vibration. (b) Find the force constant of the spring. (c) Find the maximum speed of the mass. (d) Find the maximum force on the mass. (e) Find the force on the mass at that time.
1.46s, 23.6 N/m, 32.7 cm/s, 1.5N, 0.516 N
1.46s, 23.2 N/m, 32.1 cm/s, 1.7N, 0.513 N
1.48s, 23.7 N/m, 32.2 cm/s, 1.9N, 0.517 N
1.47s, 23.6 N/m, 32.6 cm/s, 1.8N, 0.515 N
1.46s, 23.6 N/m, 32.7 cm/s, 1.5N, 0.516 N
1.46s, 23.2 N/m, 32.1 cm/s, 1.7N, 0.513 N
1.48s, 23.7 N/m, 32.2 cm/s, 1.9N, 0.517 N
1.47s, 23.6 N/m, 32.6 cm/s, 1.8N, 0.515 N
Explanation / Answer
A.
T = 2 pi / w
as w = 4.26 rad/s,
T = 1.47 s [ANSWER]
*************
As
w = sqrt(k/m)
--> k = m w^2
as m = 1.30 kg,
k = 23.6 N/m [ANSWER]
***************
vmax = xmax w = 32.6 cm/s [ANSWER]
These three answers should be anough to tell that the answer is OPTION D. [ANSWER]
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