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dimaraw [331]
3 years ago
12

Derive the equation of motion of the spring-mass system given below. Please show and MARK your derivation step by step. Missing

steps will result in losing points. Use the assumptions sin(θ) = θ and cos(θ) = 1.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0

Answer:

Ö + θ ( (k/m) + (g/l)) = 0

Step-by-step explanation:

Use the FBD attached:

Apply Newtons 2 nd Law in tangential direction:

Sum ( Ft ) = m*a

Sum of all tangential forces is:

m*g*sin(θ) + k*l*sin(θ)*cos(θ) = - m*l*Ö

Using small angle approximations:

sin (θ) = θ

cos (θ) = 1

Ö = angular acceleration.

m*g*θ + k*l*θ = -m*l*Ö

Ö + θ ( (k/m) + (g/l)) = 0

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How do i do this math question 5x < -10
natta225 [31]

Answer:

X < -2

Step-by-step explanation:

5x/5 < -10/5. Divide each side by 5

3 0
3 years ago
Kamal wrote the augmented matrix below to represent a system of equations
Alina [70]

Consider the operation is R_2\to -3R_2.

Given:

The augmented matrix below represents a system of equations.

\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]

To find:

Matrix results from the operation R_2\to -3R_2.

Step-by-step explanation:

We have,

\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]

After applying R_2\to -3R_2, we get

\left[\left.\begin{matrix}1&0&1\\-3(1)&-3(3)&-3(-1)\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-3(-9)\\-2\end{matrix}\right]

\left[\left.\begin{matrix}1&0&1\\-3&-9&3\\3&2&0\end{matrix}\right|\begin{matrix}-1\\27\\-2\end{matrix}\right]

Therefore, the correct option is A.

7 0
3 years ago
Plz I don’t get this question your suppose to find the area
Zielflug [23.3K]

Answer:

25868.61 ft squared.

Step-by-step explanation:

First, find the area of the circle. Area equals pi times the value of the radius squared. Because there is only three quarters of the circle there, you need to divide the area by 4, and then multiply it by 3.

Then, for the rectangle, multiply the two numbers together to get the area. Just copy my answer, and you'll be fine.

7 0
3 years ago
PLZZ HELP?
andreyandreev [35.5K]
The answer is 45 because it has to be multipled etc
6 0
2 years ago
Read 2 more answers
You took any loan of $9,015.20 to buy a car. The loan is to be paid back in 48 equal monthly payments how much is each payment r
stepan [7]

Answer:

<u>The equal monthly payment during 48 hours for buying a car is US$ 187.82</u>

Step-by-step explanation:

Loan from the bank to buy a car = US$ 9.015.20

Period of time to pay back the loan = 48 months

Form of payment = Equal monthly payments

Monthly payment = Loan from the bank / Period of time

Monthly payment = 9,015.20 / 48

<u>Monthly payment = US$ 187.82 (rounding to the nearest cent)</u>

<u>Each equal monthly payment during 48 months is US$ 187.82</u>

6 0
3 years ago
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