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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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Find the area of the regular 18-gon with a radius of 3 mm. <br> Round to the nearest tenth.
marta [7]

Answer:

this becomes 1/2 * 6 * tan(10) * 3 which results in the area of one of the isosceles triangles is equal to 1.586942826 square units. since there are 18 of these isosceles triangles in the polygon, then multiply this by 18 to get area of the polygon with 18 sides is equal to 28.56497087 square units.

Follow me please

Mark brainliest

7 0
2 years ago
You read online that the probability of being dealt four‑of‑a‑kind in a five‑card poker hand is 1 / 4165. Explain carefully what
Lapatulllka [165]

Answer:

There is about 4,164/4,165 chances of not getting getting a four of a kind. So, it is extremely unlikely or even borderline impossible in that situation to get a four of a kind.

<u>But in the long run, it can be increased only if you keep drawing.  So, the awnser would have to be. D  </u>

Step-by-step explanation:

A. It does mean that if you are dealt 4165 five‑card poker hands, one will be four‑of‑a‑kind.

B.  It does not mean that all will be four‑of‑a‑kind. The probability is actually saying that only on the 4165 the poker hand will you get a four‑of‑a‑kind, not just on any of the 4165 poker hands.

C. The probability is actually saying that in the long run, with a large number of five‑card poker hands, the fraction in which you will be dealt a four‑of‑a‑kind is 1 / 4165.

D. The chance you will be dealt four‑of‑a‑kind is 1 / 4165 only on the first hand. This chance will then increase with each new hand you are dealt until you eventually win

6 0
2 years ago
What dividend is represented by the synthetic division below?
Aleks04 [339]

Answer:

2x^3+10x^2+x+5

Step-by-step explanation

Answer to edge

6 0
3 years ago
Read 2 more answers
How do I do this ?????
AleksAgata [21]

Answer:

y=3

Step-by-step explanation:

it says that y is the inverse of x so if x=3 and y=8, so if x=8 than y must equal 3

3 0
3 years ago
Read 2 more answers
Suzanne needs material for her school project. She buys 4.75 yards of material at $5.37 a yard. What is the total cost of the ma
vovangra [49]
The material costs 5.37 for 1 yard.

 Multiply the cost of 1 yard by the number of yards bought:

5.37 per yard x 4.75 yards = $25.51 Total cost.

The answer would be D.
3 0
3 years ago
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