A mass of 1.53 kg is attached to a spring and the system is undergoing simple harmonic oscillations with a frequency of 1.95 Hz and an amplitude of 7.50 cm. What is the total mechanical energy of the system?
A)
0.844 J
B)
0.646 J
C)
0.633 J
D)
0.955 J
E)
0 J
B
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The circular flow of rising hot material and sinking cool material is responsible for what phenomena on and in Earth?
A. rifting B. volcanic eruptions C. earthquakes D. subduction E. All of these choices are correct.
A long thin uniform rod of length 1.50 m is to be suspended from a frictionless pivot located at some point along the rod so that its pendulum motion takes 3.00 s. How far from the center of the rod should the pivot be located?
A) 7.98 cm B) 7.52 cm C) 8.73 cm D) 8.40 cm E) 23.4 cm
Derive an expression for the temperature distribution in an infinitely long rod of uniform cross section within which there is uniform heat generation at the rate of 1 W/m. Assume that the rod is attached to a surface at Ts and is exposed through a convective heat transfer coefficient h to a fluid at Tf.
GIVEN
• An infinitely long rod with internal heat generation
• Temperature at one end = Ts
• Heat generation rate ( q
GA) = 1 W/m
• Convective heat transfer coefficient = hc
• Ambient fluid temperature = Tf
FIND
• Expression for the temperature distribution
ASSUMPTIONS
• The rod is in steady state
• The thermal conductivity (k) is constant
SKETCH
When an object is hanging on the end of a vertical spring and oscillating up and down, which of these is a period?
a. The same as a cycle. b. Its journey from the highest point it can reach to the lowest point it can reach. c. The time the object takes to travel from any point it can reach back to the same point. d. The time the object takes to travel from its highest point to its lowest point. e. The time the object takes to travel from the highest point to the lowest and back to the highest.