In the figure below, a hoop (radius R = 1.0 m, mass = 2.0 kg) having four spokes of negligible mass is suspended from a pivot a distance d = .25 m above its center of mass. The angular frequency (in rad/s) for small oscillations is approximately
?
?
a.
4.0.
b.
2.5.
c.
1.5.
d.
1.0.
e.
0.5.
c
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If you draw a spacetime diagram, the worldline of an object that is traveling by you at constant speed is
A) vertical. B) horizontal. C) slanted. D) curved. E) a circle.
A crystal diffracts a beam of electrons, like a diffraction grating, as they hit it perpendicular to its surface
The crystal spacing is 0.18 nm, and the first maximum scattering occurs at 80° relative to the normal to the surface. (e = 1.60 × 10-19 C, melectron = 9.11 × 10-13 kg, h = 6.626 × 10-34 J ? s) (a) What is the wavelength of the electrons? (b) What potential difference accelerated the electrons if they started from rest?
A string with a mass per length of 2.00 gm/m is stretched with a force of 150 N between two points that are 0.500 m apart. The fundamental frequency of the stretched string is in tune with the fundamental frequency of an organ pipe filled with air and open at both ends. The velocity of sound in air at 0
is 331 m/s. What is the length of the organ pipe?
A. 50.2 cm B. 55.2 cm C. 57.5 cm D. 60.4 cm E. 65.3 cm
The principal culture that transferred Greek astronomical knowledge to Renaissance Europe was:
A) Byzantine. B) Chinese. C) Mongol. D) Islamic. E) Mayan.