The masses mi are located at the points Pi. Find the moments Mx and My and the center of mass of the system. m1 = 4, m2 = 3, m3
1 answer:
Answer:
= 8
= 6
Therefore the co-ordinate of the center of mass is =
Step-by-step explanation:
Center of mass: Center of mass of an object is a point on the object. Center of mass is the average position of the system.
Center of mass of a triangle is the centriod of a triangle.
Given that m₁= 4, m₂=3, m₃=3 and the points are P₁(2,-3), P₂(-3,1) and P₃(3,5)
= ∑(mass × x-co-ordinate)
= ∑(mass × y-co-ordinate)
Therefore
= (4×2)+{3×(-3)}+(3×3)
=8
= {4×(-3)}+{3×1}+(3×5)
=6
The x co-ordinate of the center of mass is the ratio of to the total mass.
The y co-ordinate of the center of mass is the ratio of to the total mass.
Total mass (m) = m₁+ m₂+ m₃
= 4+3+3
=10
The x co-ordinate of the center of mass is
The y co-ordinate of the center of mass is
Therefore the co-ordinate of the center of mass is =
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Answer:
a)
b)
c)
And we can use the complement rule like this:
And replacing we have:
Step-by-step explanation:
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The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
We can model the number of correct questions answered with a binomial distribution
Solution to the problem
Assuming the following questions:
a) the first question she gets right is the 6th question?
For this case we want the first 5 questions incorrect and the last one correct, assuming independence we have:
(b) she gets all of the questions right?
For this case we want all the questions right so then we want this:
(c) she gets at least one question right?
For this case we want this probability:
And we can use the complement rule like this:
And replacing we have: