Gravity. Refer to Problem 62. Find d F d r and discuss the connection between d F d r and d r d F . 62 . Gravity. The equation F = G m 1 m 2 r 2 is Newton’s law of universal gravitation. G is a constant and F is the gravitational force between two objects, having masses, m 1 and m 2 that are a distance r from each other. Use implicit differentiation to find d r d F . Assume that m 1 and m 2 are constant.
Gravity. Refer to Problem 62. Find d F d r and discuss the connection between d F d r and d r d F . 62 . Gravity. The equation F = G m 1 m 2 r 2 is Newton’s law of universal gravitation. G is a constant and F is the gravitational force between two objects, having masses, m 1 and m 2 that are a distance r from each other. Use implicit differentiation to find d r d F . Assume that m 1 and m 2 are constant.
Solution Summary: The author analyzes the Newton's law of universal gravitation and the connection between the two.
Gravity. Refer to Problem 62. Find
d
F
d
r
and discuss the connection between
d
F
d
r
and
d
r
d
F
.
62. Gravity. The equation
F
=
G
m
1
m
2
r
2
is Newton’s law of universal gravitation. G is a constant and F is the gravitational force between two objects, having masses, m1 and m2 that are a distance r from each other.
Use implicit differentiation to find
d
r
d
F
. Assume that m1 and m2 are constant.
Show that the Laplace equation in Cartesian coordinates:
J²u
J²u
+
= 0
მx2 Jy2
can be reduced to the following form in cylindrical polar coordinates:
湯(
ди
1 8²u
+
Or 7,2 მ)2
= 0.
Draw the following graph on the interval
πT
5π
< x <
x≤
2
2
y = 2 cos(3(x-77)) +3
6+
5
4-
3
2
1
/2 -π/3 -π/6
Clear All Draw:
/6 π/3 π/2 2/3 5/6 x 7/6 4/3 3/2 5/311/6 2 13/67/3 5
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Determine the moment about the origin O of the force F4i-3j+5k that acts at a Point A. Assume that the position vector of A is (a) r =2i+3j-4k, (b) r=-8i+6j-10k, (c) r=8i-6j+5k
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