An interstellar spacecraft from an advanced civilization is hovering above Earth, as shown in Fig. 12.35. The ship consists of two pods of mass m separated by a rigid shaft of negligible mass and one Earth radius ( R E ) long. Find (a) the magnitude and direction of the net gravitational force on the ship and (b) the net torque about the center of mass, (c) Show that the ship's center of gravity is displaced approximately 0.083 R E from its center of mass. FIGURE 12.35 Problem 59
An interstellar spacecraft from an advanced civilization is hovering above Earth, as shown in Fig. 12.35. The ship consists of two pods of mass m separated by a rigid shaft of negligible mass and one Earth radius ( R E ) long. Find (a) the magnitude and direction of the net gravitational force on the ship and (b) the net torque about the center of mass, (c) Show that the ship's center of gravity is displaced approximately 0.083 R E from its center of mass. FIGURE 12.35 Problem 59
An interstellar spacecraft from an advanced civilization is hovering above Earth, as shown in Fig. 12.35. The ship consists of two pods of mass m separated by a rigid shaft of negligible mass and one Earth radius (RE) long. Find (a) the magnitude and direction of the net gravitational force on the ship and (b) the net torque about the center of mass, (c) Show that the ship's center of gravity is displaced approximately 0.083 RE from its center of mass.
The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis scale is set by as = 12.0 m/s². At t = -2.0
s, the particle's velocity is 11.0 m/s. What is its velocity at t = 6.0 s?
a (m/s²)
as
-2
0
2
t(s)
4
Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that the average normal stress must not
exceed 150 MPa in either rod, determine the smallest allowable values of the diameters d₁ and d2. Take P= 85 kN.
P
125 kN
B
125 kN
C
0.9 m
1.2 m
The smallest allowable value of the diameter d₁ is
The smallest allowable value of the diameter d₂ is
mm.
mm.
Westros, from Game of Thrones, has an area of approximately 6.73⋅106 miles26.73⋅106miles2. Convert the area of Westros to km2 where 1.00 mile = 1.609 km.
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