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Lelechka [254]
3 years ago
13

Two masses m 1 and m 2 move i n a plane and interact by a potential energy U (r) = f kr 2 • Write down their Lagrangian in terms

of the CM and relative positions R and r , and find the equations of motion for the coordinates X, Y and x, y. Describe the motion and find the frequency of the relative motion.

Physics
1 answer:
vredina [299]3 years ago
7 0

Answer:

Refer to attached file

Explanation:

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In order to determine the mass moment of inertia of a flywheel of radius 600 mm, a 12-kg block is attached to a wire that is wra
shtirl [24]

Answer:

Explanation:

Given that,

When Mass of block is 12kg

M = 12kg

Block falls 3m in 4.6 seconds

When the mass of block is 24kg

M = 24kg

Block falls 3m in 3.1 seconds

The radius of the wheel is 600mm

R = 600mm = 0.6m

We want to find the moment of inertia of the flywheel

Taking moment about point G.

Then,

Clockwise moment = Anticlockwise moment

ΣM_G = Σ(M_G)_eff

M•g•R - Mf = I•α + M•a•R

Relationship between angular acceleration and linear acceleration

a = αR

α = a / R

M•g•R - Mf = I•a / R + M•a•R

Case 1, when y = 3 t = 4.6s

M = 12kg

Using equation of motion

y = ut + ½at², where u = 0m/s

3 = ½a × 4.6²

3 × 2 = 4.6²a

a = 6 / 4.6²

a = 0.284 m/s²

M•g•R - Mf = I•a / R + M•a•R

12 × 9.81 × 0.6 - Mf = I × 0.284/0.6 + 12 × 0.284 × 0.6

70.632 - Mf = 0.4726•I + 2.0448

Re arrange

0.4726•I + Mf = 70.632-2.0448

0.4726•I + Mf = 68.5832 equation 1

Second case

Case 2, when y = 3 t = 3.1s

M= 24kg

Using equation of motion

y = ut + ½at², where u = 0m/s

3 = ½a × 3.1²

3 × 2 = 3.1²a

a = 6 / 3.1²

a = 0.6243 m/s²

M•g•R - Mf = I•a / R + M•a•R

24 × 9.81 × 0.6 - Mf = I × 0.6243/0.6 + 24 × 0.6243 × 0.6

141.264 - Mf = 1.0406•I + 8.99

Re arrange

1.0406•I + Mf = 141.264 - 8.99

1.0406•I + Mf = 132.274 equation 2

Solving equation 1 and 2 simultaneously

Subtract equation 1 from 2,

Then, we have

1.0406•I - 0.4726•I = 132.274 - 68.5832

0.568•I = 63.6908

I = 63.6908 / 0.568

I = 112.13 kgm²

8 0
3 years ago
What is the correct definition of nurture?
makkiz [27]

Answer:

(C) the fulfillment of physical, mental, emotional, and social needs

Explanation:

Nurture

Definition (A) - <u><em>Care for and encourage the growth or development of</em></u>

Definition (B) - <u><em>The process of caring for and encouraging the growth or development of someone or something</em></u>

The best definition in the answer list for the word "nurture" is answer (C) The fulfillment of physical, mental, emotional, and social needs

8 0
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Answer:

No

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A positive point charge q is placed at the center of an uncharged metal sphere insulated from the ground. The outside of the sph
kenny6666 [7]

Explanation:

the missing figure in the Question has been put in the attachment.

Then from the figure we can observe that

the center of the sphere is positive, therefore, negative charge will be  induced at A.

As B is grounded there will not be any charge on B

Hence the answer is A is negative and B is charge less.

4 0
3 years ago
What is potential energy?
GenaCL600 [577]

Answer:

energy that is stagnant and cannot be changed

4 0
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