Each y-direction force on frame ABCDEF below acts at the center of the bar segment to which it is applied. Support B is restrained against translation in the y and z directions only, and support C is restrained in the z direc- tion only. Support D is a pin support. Equilibrium of the frame requires that reaction force Cz is (in newtons):

(A) 80.8 N

(B) 67.7 N

(C) 14.8 N

(D) 92.2 N


(A) 80.8 N

Physics & Space Science

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Which of the following statements best describes how the uncertainty principle affects conservation of energy?

A) The uncertainty principle allows very short time-scale violation of energy conservation, but energy must still be conserved on time scales that allow measurement. B) The uncertainty principle invalidated the law of conservation of energy, and as a result, this law is no longer useful to physicists. C) The uncertainty principle does not apply to energy, so conservation of energy is not affected by it. D) The uncertainty principle tells us that the law of conservation of energy applies only to very large objects, not to atoms or molecules.

Physics & Space Science

Assume that the fatigue striations just before final fracture on the part in Example Problem 11.7 had increased to 1×10-5 meters per cycle when the internal crack length had grown to 2a = 0.03 m. Assume that the data in Figure 11.27 is for a minimum stress of 0.

(a) Determine the stress intensity range that created these striations, and compare the value of Kmax to the value of KIc. (b) Predict the stress range applied to this part just before failure. (c) Did the part fail by fatigue fracture due to propagation of a crack to a critical size, or by an overload exceeding the ultimate tensile strength?

Physics & Space Science

What do we mean by the spin of a subatomic particle?

A) It describes how fast the particle is rotating on its axis at a given time—if more torque is applied, the particle spins faster. B) It is one of the basic properties of any particle, and is a measure of the particle's angular momentum. C) It is a measure of the particle's electrical charge. D) The spin of a particle describes how the story of the particle is portrayed to journalists.

Physics & Space Science

A sound source of frequency 1000 Hz moves at 40.0 m/s toward a listener who is at rest. What is the apparent frequency heard by the listener? (speed of sound = 340 m/s)

a. 853 Hz c. 1130 Hz b. 872 Hz d. 1170 Hz

Physics & Space Science