When block C is in position xC = 0.8 m, its speed is 1.5 m/s to the right. Find the velocity of block A at this instant. Note that the rope runs around the pulley B and a pin attached to block C, as indicated.

Answers

Answer 1

Answer:

The answer is "2 m/s".

Explanation:

The triangle from of the right angle:

[tex]\to (x_c-0.8)+(1.5+y_4) +\sqrt{x_c^2 + 1.5^2}= constant[/tex]

Differentiating the above equation:

[tex]\to V_c +V_A+ \frac{X_cV_c}{\sqrt{x_c^2 +1}}=0\\\\\to 1-V_A+ \frac{0.8 \times 1.5}{\sqrt{ 0.8^2+1.5}}=0\\\\[/tex]

[tex]\to V_A= \frac{1.2}{\sqrt{ 0.64+1.5}}+1\\\\[/tex]

        [tex]= \frac{1.2}{ 1.46}+1\\\\= \frac{1.2+ 1.46}{ 1.46}\\\\ = \frac{2.66}{1.46}\\\\= 1.82 \ \frac{m}{s}\\\\= 2 \ \frac{m}{s}[/tex]


Related Questions

Why is it so dangerous to use a ground lift on a metal cased power tool

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Answer:

Removal of the safety ground connection on equipment can expose users to an increased danger of electric shock and may contradict wiring regulations. ... If a fault develops in any line-operated equipment, cable shields and equipment enclosures may become energized, creating an electric shock hazard.

definition of ceramics

Answers

Answer:

Ceramics are generally made by taking mixtures of clay, earthen elements, powders, and water and shaping them into desired forms. Once the ceramic has been shaped, it is fired in a high temperature oven known as a kiln. Often, ceramics are covered in decorative, waterproof, paint-like substances known as glazes.

Explanation:

Answer:

made essentially from a nonmetallic mineral (such as clay) by firing at a high temperature.

Explanation:

C++ question
Thank you

Answers

You're welcome lol! !!!!!!!!!!!!!!

:):):):)

True or false It is legal to pass in Florida when approaching within 100 feet of or traversing any railroad crossing grade croead

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That is a false statement.

When you receive a vertical promotion, you are more likely to _______ than when you receive a horizontal promotion. a. Deal with a new department b. Gain management responsibilities c. Earn a similar salary d. Retain the same authority Please select the best answer from the choices provided A B C D

Answers

Answer:

b. Gain management responsibilities

Explanation:

When you receive a vertical promotion, you are more likely to Gain management responsibilities  than when you receive a horizontal promotion.

53. The plan of a building is in the form of a rectangle with
centerline dimension of outer walls as 9.7mx14.7m. The
thickness of the wall in super structure is 0.30m. Then its
plinth area is
a) 150m
b) 145m2
c) 145.5m
d) 135.36m
.​

Answers

Answer: 150m

Explanation:

The following can be depicted from the question:

Dimensions of outer walls = 9.7m × 14.7m.

Thickness of the wall = 0.30 m

Therefore, the plinth area of the building will be:

= (9.7 + 0.30/2 + 0.30/2) × (14.7 × 0.30/2 + 0.30/2)

= 10 × 15

= 150m

The plinth area will be 150m.

Given information

Dimensions of outer walls = 9.7m × 14.7m.

Thickness of the wall = 0.30 m

Plinth area of the building = (9.7 + 0.30/2 + 0.30/2) × (14.7 × 0.30/2 + 0.30/2)

Plinth area of the building = 10 × 15

Plinth area of the building = 150m

Therefore, the Option A is correct.

Read more about Area

brainly.com/question/25292087

1)A wheel is used to turn a valve stem on a water valve. If the wheel radius is 1 foot and the stem, (axle), radius is .5 inches, what is the mechanical advantage of the wheel and axle? 2)How much resistance force can ideally be overcome when an effort of 80 lbs is applied to the wheel of the water valve in problem 1? 3)What is the linear distance traveled when a 2.5' diameter wheel makes one revolution? 4)A compressor motor has a 1.00 inch output shaft (axle) that drives a 4.00inch pulley (wheel). If the motor output shaft supplies 24 lbs of force, ideally how much force does the pulley apply to the drive belt wrapped around it? 5) If the belt pulley's force is measured to be 4 lbs, what is the AMA wheel and axle here?6) What is the efficiency of the compressor motor – belt pulley wheel and axle?

Answers

Answer:

for 13

Explanation:

''.''

The coolant heat storage system:

Select one:

A. increases hydrocarbon exhaust emissions,

B. uses a condenser.

C. preheats the engine when the vehicle is started the next time.

D. prevents the engine from overheating on hot days.

Answers

Answer:

c

Explanation:

This is because many things, such as pcs, over heat

Preheats the engine when the vehicle is started the next time. Therefore, the correct answer is option C.

The coolant heat storage system is designed to store heat from the exhaust system when the vehicle is operating and then use that heat when it is started again. This gives the car a kind of "head start" and the engine does not need to work as hard to heat up and become ready for driving. This can save on fuel consumption and hydrocarbon emissions. This process is done with the use of a condenser to store the heat energy. Additionally, the coolant heat storage system can also help to prevent the engine from overheating in hot weather and conditions.

Therefore, the correct answer is option C.

Learn more about the coolant heat storage system here:

https://brainly.com/question/11912897.

#SPJ6

how to update android 4.4.2 to 5.1 if there isnt any update available​

Answers

Answer:

You cant update it if there isin´t any update available lol

Explanation:

Well simply you can’t the problem is likely to be that the phone is to old !

what is 2+2 equal to

Answers

the answer is 4, lol.

Answer:

4

or

22

Explanation:

How to update android 4.4.2 to 5.1​

Answers

Answer:

try settings and go to updates?

Explanation:

Complete the sentence to identify a useful advance in the culinary arts.

The Egyptians invented

, which they used to store

for many years.

Answers

Answer:

silos to store grains

Explanation:

I got it from PLATO... hope this helps...

A broad range of subjects are included in the culinary arts. Food science and nutrition, ingredient quality, seasonality, flavors and textures, presentation and plate layout, and more are some of these. There are numerous specialties, sub-niches, and job titles that fall within this broad category.

What are the characteristics of culinary arts?

Additionally, to help students become more well-rounded cooks, a variety of cooking techniques, numerous recipes, new ingredients, and various flavor profiles are presented to them.

The term “culinary arts” is used to refer broadly to the processes involved in preparing, cooking, plating, presenting, and serving food. It relates to meals and the goods, not sweets or breads. That make up a meal, such as appetizers, side dishes, and main courses.

Therefore, Students who pursue a culinary education have the opportunity to study under several of the industry's best chefs.

Learn more about art here:

https://brainly.com/question/19049629

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Water and air quality are critical issues facing human society.


True

False

Answers

Humans impact the physical environment in many ways: overpopulation, pollution, burning fossil fuels, and deforestation. Changes like these have triggered climate change, soil erosion, poor air quality, and undrinkable water.

The hydrofoil boat has an A-36 steel propeller shaft that is 100 ft long. It is connected to an in-line diesel engine that delivers a maximum power of 2490 hp and causes the shaft to

Answers

The question is incomplete. The complete question is :

The hydrofoil boat has an A-36 steel propeller shaft that is 100 ft long. It is connected to an in-line diesel engine that delivers a maximum power of 2590 hp and causes the shaft to rotate at 1700 rpm . If the outer diameter of the shaft is 8 in. and the wall thickness is [tex]$\frac{3}{8}$[/tex]  in.

A) Determine the maximum shear stress developed in the shaft.

[tex]$\tau_{max}$[/tex] = ?

B) Also, what is the "wind up," or angle of twist in the shaft at full power?

[tex]$ \phi $[/tex] = ?

Solution :

Given :

Angular speed, ω = 1700 rpm

                              [tex]$ = 1700 \frac{\text{rev}}{\text{min}}\left(\frac{2 \pi \text{ rad}}{\text{rev}}\right) \frac{1 \text{ min}}{60 \ \text{s}}$[/tex]

                              [tex]$= 56.67 \pi \text{ rad/s}$[/tex]

Power [tex]$= 2590 \text{ hp} \left( \frac{550 \text{ ft. lb/s}}{1 \text{ hp}}\right)$[/tex]

          = 1424500 ft. lb/s

Torque, [tex]$T = \frac{P}{\omega}$[/tex]

                 [tex]$=\frac{1424500}{56.67 \pi}$[/tex]

                 = 8001.27 lb.ft

A). Therefore, maximum shear stress is given by :

Applying the torsion formula

[tex]$\tau_{max} = \frac{T_c}{J}$[/tex]

        [tex]$=\frac{8001.27 \times 12 \times 4}{\frac{\pi}{2}\left(4^2 - 3.625^4 \right)}$[/tex]

      = 2.93 ksi

B). Angle of twist :

     [tex]$\phi = \frac{TL}{JG}$[/tex]

         [tex]$=\frac{8001.27 \times 12 \times 100 \times 12}{\frac{\pi}{2}\left(4^4 - 3.625^4\right) \times 11 \times 10^3}$[/tex]

         = 0.08002 rad

         = 4.58°

How did engineers help to create a ceiling fan

Answers

Answer:

The electric ceiling fan was invented in 1882 by engineer and inventor, Philip Diehl. He had earlier invented an electric sewing machine and adapted the motor from this invention to create the ceiling fan. He called his invention the “Diehl Electric Fan” and it was such a success that he soon had many other people competing with him.

Explanation:

A beaker is filled to the 500 ml mark with alcohol. What increase in volume (in ml) the beaker contain when the temperature changes from 5°C to 30°C? (Neglect the expansion of the beaker, evaporation of alcohol and absorption of water vapor by alcohol.) C°, Palcohol = 1.12 x 104/ °C

Answers

Answer:

1.4 mL

Explanation:

Given that:

volume of alcohol [tex]V_0[/tex] = 500

Temperature change ΔT = (30° - 5°)C

=25° C

[tex]\beta_{ alcohol }= 1.12 \times 10^{-4} / ^0C[/tex]

The increase in volume ΔV =  [tex]\alpha \times V_o \times \Delta T[/tex]

[tex]= 500 \times 1.12 \times 10^{-4} / ^0 C\times 25^0 C[/tex]

= 1.4 mL

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