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steposvetlana [31]
3 years ago
10

A mass weighting 64 pounds, attached to the end of a spring and stretches the spring 0.32 foot. There is no damping and no exter

nal forces acting on the system. The mass is initially released from a point 8 inches above the equilibrium position with a downward velocity of 5 ft/s.
a) Find the displacement at any time t, ut) (find the equation of motion)

b) What are the amplitude and period of motion?

c) How many complete cycles will the mass have completed at the end of 37 seconds?

d) At what time does the mass pass through the equilibrium position heading downward at the second time?

e) At what times does the mass attain its extreme displacements on either side of the equilibrium position?

f) What is the position of the mass at t-3 sec?

g) What is the instantaneous velocity at t-3 sec?

h) What is the acceleration at t=3sec?

i) What is the instantaneous velocity at the time when the mass passes through the equilibrium position?

j) At what time is the mass 5 inches below the equilibrium position?

k) At what time is the mass 5 inches below the equilibrium position heading in the upward direction?
Mathematics
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

Step-by-step explanation:

Check attachment for solution

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
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What is the area of the shape below
Bad White [126]

Answer:

The area of the shape is A=886 \:cm^2.

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First  separate the composite shape into three simpler shapes, in this case two rectangles and  a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is A=34\cdot 16=544\:cm^2

The area of the second rectangle is A=11\cdot19=209\: cm^2

The area of a triangle is given by the formula A=\frac{1}{2} bh where <em>b</em> is the base and <em>h</em> is the height of the triangle.

The area of the triangle is A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2

Finally, add the areas of the simpler figures together to find the total area of the  composite figure.

A_{composite\:shape}=544+209+133=886 \:cm^2

3 0
3 years ago
78 ÷ 8 is equivalent to 78.00 ÷ 8. We can write zeros in the tenths place and hundredths place without changing the value. Use t
ahrayia [7]

Answer: 9.75

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
35 hundreds = 5 tens times 7 tens is it true or false
Strike441 [17]
True
if you add an imaginary 0 to the numbers since its in the tenths place you would get 3,500
5(0) x 7(0) = 3,500
3 0
3 years ago
Mario is making dinner for 8 people. Mario buys 6 containers of soup. Each container is 16 ounces. If everyone gets the same amo
Anna35 [415]

Answer:

They would get 12oz of soup

Step-by-step explanation:

First, you would do 16x6 because you want to find the total amount of soup you have.

Next, after finding how much you have in total 96oz you then divide by how many people in this case is 8 then you get your answer.

5 0
2 years ago
Read 2 more answers
Solve |2x + 1| = 10
Ivan
By definition of absolute value we have two equalities:
 2x + 1 = 10
 2x + 1 = -10
 For 2x + 1 = 10:
 
2x + 1 = 10
 2x = 10-1
 2x = 9
 x = 9/2
 For 2x + 1 = -10:
 
2x + 1 = -10
 2x = -10-1
 2x = -11
 x = -11 / 2
 Answer:
 
{-11/2, 9/2}
3 0
3 years ago
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