The net x-force on a 1-kg oscillating object moving along the x axis is Fx = −b(x − a2x3), where b = 123 and a = 4 in the appropriate SI units. (a) What are the units of a and b? a) Unit of a is _1/m____ (Click to select) 1/m m N*m 1/N N/m N b) Unit of b is _______N/M (Click to select) m/N N N/m 1/m 1/N m N*m . For small oscillations, the force law reduces to the harmonic oscillator law F x ≈≈−k sx, where ks depends on the value of a and/or b. C) What is the frequency of such small oscillations?( Round the answer to two decimal places.) The frequency is 1.77 Hz. (d) How small is "small"? For what range of x will Fx be within 1% of −ksx ?
Need help on D). I can't seem to get the correct answer. My answers are 24.9, .264 and 24.87 and none of them work in the program. See below
The net x-force on a 1-kg oscillating object moving along the x axis is Fx = −b(x − a2x3), where b = 123 and a = 4 in the appropriate SI units.
(a) What are the units of a and b?
a) Unit of a is _1/m____ (Click to select) 1/m m N*m 1/N N/m N
b) Unit of b is _______N/M (Click to select) m/N N N/m 1/m 1/N m N*m .
For small oscillations, the force law reduces to the harmonic oscillator law F x ≈≈−k sx, where ks depends on the value of a and/or b.
C) What is the frequency of such small oscillations?( Round the answer to two decimal places.)
The frequency is 1.77 Hz.
(d) How small is "small"? For what range of x will Fx be within 1% of −ksx ?
____cm
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