A horizontal plank (m = 2.0 kg, L = 1.0 m) is pivoted at one end. A spring (k = 1.0 × 103 N/m) is attached at the other end, as shown in the figure. Find the angular frequency (in rad/s) for small oscillations
?
?
a.
39
b.
44
c.
55
d.
66
e.
25
a
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Thermal Expansion: The coefficient of linear expansion of copper is 17 × 10-6 K-1 and that of steel is 12 × 10-6 K-1. At 12°C a steel rod has a diameter of 2.540 cm and a copper pipe has a diameter of 2.536 cm. Which one of the following quantities is closest to the temperature to which the copper pipe must be heated in order for the unheated steel rod to fit snugly in the copper pipe?
A. 53°C B. 81°C C. 93°C D. 105°C E. 143°C
When a grating having 5000 lines/cmis illuminated by monochromatic light, the angle between the central maximum and the fourth order maximum is 47.2°. What is the wavelength of the light?
A) 138 nm B) 183 nm C) 367 nm D) 637 nm
Angular Momentum: A merry-go-round spins freely when Diego moves quickly to the center along a radius of the merry-go-round. As he does this, it is true to say that
A. the moment of inertia of the system decreases and the angular speed increases. B. the moment of inertia of the system decreases and the angular speed decreases. C. the moment of inertia of the system decreases and the angular speed remains the same. D. the moment of inertia of the system increases and the angular speed increases. E. the moment of inertia of the system increases and the angular speed decreases.
A light beam is traveling inside a glass block that has an index of refraction of 1.46. As this light arrives at the surface of the block, it makes an angle of 53.0° with the normal
At what angle with the normal in the air will it leave the block? A) 33.2° B) It will not leave. C) 43.2° D) 59.1°