Consider three masses, m0, m1, and m2 located at (x,0), (0,y), and (0, -y) respectively: a.)...
Consider three masses, m0, m1, and m2 located at (x,0), (0,y), and (0, -y) respectively:
a.) Find the total gravitational force on m0 due to the other two masses.
b.) Supoose that m1 = m2 and that y>>x, if m0 were allowed to move, show that the motion would be osillatory about the origin. What would the frequency of oscillation be?
Homework Answers
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Consider three masses, m0, m1, and
m2 located at (x,0), (0,y), and (0, -y)
respectively:
a.)...
Answer: 2.93 x 10A(3) Question 4 Three point masses, m1 150 kg, m2 185 kg and...
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Three objects of equal mass m1 = m2 = m3 = 2.65 kg are located on...
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M1 is a spherical mass (41.8 kg) at the origin. M2 is also a spherical mass...
M1 is a spherical mass (41.8 kg) at the origin. M2 is also a spherical mass (19.9 kg) and is located on the x-axis at x = 52.8 m At what value of x would a third mass with a 19.0 kg mass experience no net gravitational force due to M1 and M2
M1 is a spherical mass (27.0 kg) at the origin. M2 is also a spherical mass...
M1 is a spherical mass (27.0 kg) at the origin. M2 is also a spherical mass (12.4 kg) and is located on the x-axis at x = 90.6 m. At what value of x would a third mass with a 12.0 kg mass experience no net gravitational force due to M1 and M2?
Two boxes of masses of m1 = 5.4 kg and m2 = 7.8 kg respectively are...
Two boxes of masses of m1 = 5.4 kg and m2 = 7.8 kg respectively
are on top of each other
in an elevator (on Earth), see figure 2
Figure 2. The boxes in an elevator
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Three identical very dense masses of 6000 kg each are placed on the x axis. One...
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x2(t) m2 2 Two masses, m1 and m2, are connected with a spring, k. A force, f (t), is applied on the first mass. Both masses experience viscous damping, c1 and c2, through the surface that they sit on. The equations of motion that describe the system dynamics are m2 (t)--CzX2 (t)-k(X2(t)-x,(t)) The initial conditions are: x1(0) - a x(0)b (0) = c Assuming zero initial conditions, rearrange the two equations of motion to find the response for X1(s) and...
The masses and coordinates of three spheres are as follows: 10 kg, x = 2.00 m,...
The masses and coordinates of three spheres are as follows: 10 kg, x = 2.00 m, y = 1.75 m; 32 kg, x = -1.50 m, y = -1.50 m; 60 kg, x = 0.00 m, y= -0.50 m. What is the magnitude of the gravitational force on a 10 kg sphere located at the origin due to the other spheres?
The masses and coordinates of three spheres are as follows: 26 kg, x = 1.50 m,...
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The masses and coordinates of three spheres are as follows: 24 kg, x = 1.50 m,...
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Answer: 2.93 x 10A(3) Question 4 Three point masses, m1 150 kg, m2 185 kg and m3 278 kg are located in the x-y plane. The coordinates of the masses are the following: m1 (-3.0 m, -6,0 m), m2 (+4.0 m, +8.0 m) and m3 (+5.0 m, -3.0 m). Determine the magnitude of the net gravitational force on m3 due to the other two masses. Give your answer in the form "a.bcx 10Ak)" N. Not yet answered Marked out of...
M1 is a spherical mass (41.8 kg) at the origin. M2 is also a spherical mass (19.9 kg) and is located on the x-axis at x = 52.8 m At what value of x would a third mass with a 19.0 kg mass experience no net gravitational force due to M1 and M2
Two boxes of masses of m1 = 5.4 kg and m2 = 7.8 kg respectively
are on top of each other
in an elevator (on Earth), see figure 2
Figure 2. The boxes in an elevator
What is the resulting force on each of the boxes when the
elevator moves upwards
with constant speed?
m1 m2
x2(t) m2 2 Two masses, m1 and m2, are connected with a spring, k. A force, f (t), is applied on the first mass. Both masses experience viscous damping, c1 and c2, through the surface that they sit on. The equations of motion that describe the system dynamics are m2 (t)--CzX2 (t)-k(X2(t)-x,(t)) The initial conditions are: x1(0) - a x(0)b (0) = c Assuming zero initial conditions, rearrange the two equations of motion to find the response for X1(s) and...
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